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we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
so 18 is going to be equal to 2.25x . now if we want to solve for x , we can divide both sides by 2.25 , so let 's do that . you divide 18 by 2.25 , divide 2.25x by 2.25 , and what do we get ?
how would i solve a y=kx equation if y=5x ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
if x goes down , y will be down . now , they give us more information , and this will help us figure out what k is . if a gallon of gas costs $ 2.25 , how many gallons could you purchase for $ 18 ?
how do you figure out if an equation is a direct variation or not ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
that 's what this told us right there . so the equation , how y varies with x , is y is equal to 2.25x , where x is the number of gallons we purchase . y is the cost of that purchase , so it 's $ 2.25 a gallon .
if y=4 when x=5 , how do i find y when x=10 ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
so 18 divided by 2.25 is equal to 18 divided by 9 over 4 , which is equal to 18 times 4 over 9 , or 18 over 1 times 4 over 9 . and let 's see , 18 divided by 9 is 2 , 9 divided by 9 is 1 . that simplifies pretty nicely into 8 .
what is 9 plus ten ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
we do n't know what the rate is . k tells us the rate . if x goes down , y will be down .
can someone explain to me how to tell if this equation is a direct variation or not : 4x + y = 3 and what is k in this equation if it is a direct variation ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
well , i did n't even have to write the times 1 there . it 's essentially telling us exactly what the rate is , what k is . we do n't even have to write that 1 there .
what exactly is direct equation ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
that 's what this told us right there . so the equation , how y varies with x , is y is equal to 2.25x , where x is the number of gallons we purchase . y is the cost of that purchase , so it 's $ 2.25 a gallon .
what is the equation for direct variation ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
does y - 5 = 2x show direct variation ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
if a gallon of gas costs $ 2.25 , how many gallons could you purchase for $ 18 ? so if x is equal to 1 -- this statement up here , a gallon of gas -- that tells us if we get 1 gallon , if x is equal to 1 , then y is $ 2.25 , right ? y is what it costs .
what is the equation for the direct variation when y = 1 and x = 5 ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
that 's what this told us right there . so the equation , how y varies with x , is y is equal to 2.25x , where x is the number of gallons we purchase . y is the cost of that purchase , so it 's $ 2.25 a gallon .
what is the equation of the function that is graphed as line b ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
that 's what this told us right there . so the equation , how y varies with x , is y is equal to 2.25x , where x is the number of gallons we purchase . y is the cost of that purchase , so it 's $ 2.25 a gallon .
do the variation equation that might model the situation is c=kf ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
y is the cost of that purchase , so it 's $ 2.25 a gallon . and then they ask us , how many gallons could you purchase for $ 18 ? so $ 18 is going to be our total cost .
could the situation still be modeled by a direct variation equation ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
how long does it take the elevator to travel 250 feet ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
what is another good real-life situation about direct variation ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
if a gallon of gas costs $ 2.25 , how many gallons could you purchase for $ 18 ? so if x is equal to 1 -- this statement up here , a gallon of gas -- that tells us if we get 1 gallon , if x is equal to 1 , then y is $ 2.25 , right ? y is what it costs .
what is | 2x + 1 | > 5 graphed on a line ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
we do n't know what the rate is . k tells us the rate . if x goes down , y will be down .
why do you use k what does k mean ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
now if we want to solve for x , we can divide both sides by 2.25 , so let 's do that . you divide 18 by 2.25 , divide 2.25x by 2.25 , and what do we get ? let me scroll down a little bit .
but could n't you just divide 18 by 2.25 and get 8 instead of using all of these fractions and variables ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
so first of all , i just like to think of it as a fraction . 2.25 is the same thing -- let me write over here -- 2.25 is equal to 2 and 1/4 , which is the same thing as 9 over 4 . so 18 divided by 2.25 is equal to 18 divided by 9 over 4 , which is equal to 18 times 4 over 9 , or 18 over 1 times 4 over 9 . and let 's se...
i do n't understand how -2x=3y is a direct variation and 5y-x=4 and 5x-2y+3=0 are not ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
is direct variation the same as direct linear variation ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
how would you do direct variation if your y needs to become smaller ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
y is the cost of that purchase , so it 's $ 2.25 a gallon . and then they ask us , how many gallons could you purchase for $ 18 ? so $ 18 is going to be our total cost .
how many kg of water are in a person with a mass of 50kg ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
we do n't know what the rate is . k tells us the rate . if x goes down , y will be down .
what is the volume if the temperature increases to 420 degrees k ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
and let 's see , 18 divided by 9 is 2 , 9 divided by 9 is 1 . that simplifies pretty nicely into 8 . so 18 divided by 2.25 is 8 , so we can buy 8 gallons for $ 18 .
ok so i have a problem that is 8+2y=0 how do you know what is x ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
so let me write this down . so first of all , i just like to think of it as a fraction . 2.25 is the same thing -- let me write over here -- 2.25 is equal to 2 and 1/4 , which is the same thing as 9 over 4 .
how would you find the direct variation in an equation like -4x + 3y = 3 ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
this is what it means to vary directly . if x goes up , y will go up . we do n't know what the rate is . k tells us the rate .
how do you know what the x and y are ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
that 's what this told us right there . so the equation , how y varies with x , is y is equal to 2.25x , where x is the number of gallons we purchase . y is the cost of that purchase , so it 's $ 2.25 a gallon .
if you doubled x would the corresponding y double in the direct variation ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
what does varies directy mean ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
y is what it costs . they tell us 1 gallon costs $ 2.25 , so you could write it right here , $ 2.25 is equal to k times x , times 1 . well , i did n't even have to write the times 1 there .
example : x=1|2|3| y=10|20|30 that would be a direct variation right ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
this is what it means to vary directly . if x goes up , y will go up . we do n't know what the rate is .
could direct variation be like y=-2.25x , or can y only go up as x goes up and y go down as x goes down ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
that simplifies pretty nicely into 8 . so 18 divided by 2.25 is 8 , so we can buy 8 gallons for $ 18 .
but 8 gallons is $ 18.05 would n't it be 7 gallons pluse you would have to add tax ?
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
we 're told that the total cost of filling up your car with gas varies directly with the number of gallons of gasoline you are purchasing . so this first statement tells us that if x is equal to the number of gallons purchased , and y is equal to the cost of filling up the car , this first statement tells us that y var...
how long will the food last if all the soldiers leave ?
last video , we got a little bit of practice adding decimals that involved tenths . now let 's do slightly more complicated examples . so let 's say we wan na add four to 5.7 , or we could read the second number as five and 7/10 . pause this video , and see if you can do this . the way that my brain tries to tackle th...
well my brain does it the same way . i break up the whole numbers and the decimals . once again , there 's many different ways of adding decimals , but this is just one way that seems to work .
what happens if the numbers get larger and have more decimals ?
last video , we got a little bit of practice adding decimals that involved tenths . now let 's do slightly more complicated examples . so let 's say we wan na add four to 5.7 , or we could read the second number as five and 7/10 . pause this video , and see if you can do this . the way that my brain tries to tackle th...
once again , there 's many different ways of adding decimals , but this is just one way that seems to work . especially for decimals like this . so we could view this as six and 3/10 , so i 'm breaking up the 6.3 , the six and 3/10 , into six plus 3/10 plus seven and 4/10 .
how do you add two digit numbers to decimals like 1.9 + 2 or 80+ 7.1 ?
last video , we got a little bit of practice adding decimals that involved tenths . now let 's do slightly more complicated examples . so let 's say we wan na add four to 5.7 , or we could read the second number as five and 7/10 . pause this video , and see if you can do this . the way that my brain tries to tackle th...
nine and 7/10 i could write as 9.7 . even though in future videos we 're going to learn other ways of adding decimals , especially larger , more complicated decimals , this is still how my brain adds four plus 5.7 . especially if i need to do it in my head .
what does sal mean by larger decimals ?
akira receives a prize at a science fair for having the most informative project . her trophy is in the shape of a square pyramid and is covered in shiny gold foil . so this is what her trophy looks like . how much gold foil did it take to cover the trophy , including the bottom ? and so they give us some dimensions a...
so pause this video and see if you can figure that out . how much gold foil did it take to cover the trophy ? alright now let 's work through this together .
what would the shape of the gold foil have to be to exactly cover all of the trophy ?
akira receives a prize at a science fair for having the most informative project . her trophy is in the shape of a square pyramid and is covered in shiny gold foil . so this is what her trophy looks like . how much gold foil did it take to cover the trophy , including the bottom ? and so they give us some dimensions a...
and we 're doing to include the base 'cause the surface area is how much , it 's the area of the gold foil that is needed . now , sometimes , some of you might be able to think about this just by looking at this figure , but just to make sure we do n't miss any area , i 'm gon na open up this square pyramid and think a...
and desktop computers do n't have touchscreen and sal is using a desktop computer & a mac so how is it touch screened ?
we 've already seen and you 're probably getting tired of me pointing it out repeatedly , that this yellow area right over here , this area under the curve y is equal to f of x and above the positive x-axis or i guess i can say just above the x-axis between x equals a and x equals b , that we can denote this area righ...
how does this green area relate to this yellow area ? well one way to think about it is we just scaled the vertical dimension up by c , so one way that you could reason it is if i 'm finding the area of something , if i have the area of a rectangle and i have the vertical dimension is let 's say i do n't want to use th...
but should n't it be `` greater than one '' since this is a vertical stretch ( not a compression , from the way it was drawn ) ?
we 've already seen and you 're probably getting tired of me pointing it out repeatedly , that this yellow area right over here , this area under the curve y is equal to f of x and above the positive x-axis or i guess i can say just above the x-axis between x equals a and x equals b , that we can denote this area righ...
now what i want to explore in this video and it 'll come up with kind of an answer that you probably could have guessed on your own , but at least get an intuition for it , is that i want to start thinking about the area under the curve that 's a scaled version of f of x . let 's say it 's y is equal to c times f of x....
why does y=f ( x ) graph and y=c*f ( x ) look different in shape ?
we 've already seen and you 're probably getting tired of me pointing it out repeatedly , that this yellow area right over here , this area under the curve y is equal to f of x and above the positive x-axis or i guess i can say just above the x-axis between x equals a and x equals b , that we can denote this area righ...
and at least what i 'm drawing is pretty close to three times f of x , but just to give you an idea is going to look something like , and let 's see over here if this distance , do a second one , a third one , is gon na be up here . it 's gon na look something like this . it 's gon na look something like that . so this...
is there a reason or is it suppose to look the same but sal simply made a small drawing error ?
we 've already seen and you 're probably getting tired of me pointing it out repeatedly , that this yellow area right over here , this area under the curve y is equal to f of x and above the positive x-axis or i guess i can say just above the x-axis between x equals a and x equals b , that we can denote this area righ...
i guess to make the question a little bit clearer , how does this relate to this ? how does this green area relate to this yellow area ? well one way to think about it is we just scaled the vertical dimension up by c , so one way that you could reason it is if i 'm finding the area of something , if i have the area of ...
if integration gives the area under a curve , will it be always positive ?
we 've already seen and you 're probably getting tired of me pointing it out repeatedly , that this yellow area right over here , this area under the curve y is equal to f of x and above the positive x-axis or i guess i can say just above the x-axis between x equals a and x equals b , that we can denote this area righ...
we know that the area is going to be alpha times beta . now if i scale up the vertical dimension by c , so instead of alpha this is c times alpha and this is , the width is beta , if i scale up the vertical dimension by c so this is now c times alpha , what 's the area going to be ? well it 's going to be c alpha times...
what about negative c , can the area be negative ?
we 've already seen and you 're probably getting tired of me pointing it out repeatedly , that this yellow area right over here , this area under the curve y is equal to f of x and above the positive x-axis or i guess i can say just above the x-axis between x equals a and x equals b , that we can denote this area righ...
i guess to make the question a little bit clearer , how does this relate to this ? how does this green area relate to this yellow area ? well one way to think about it is we just scaled the vertical dimension up by c , so one way that you could reason it is if i 'm finding the area of something , if i have the area of ...
but how do we take the slope of an area ?
we 've already seen and you 're probably getting tired of me pointing it out repeatedly , that this yellow area right over here , this area under the curve y is equal to f of x and above the positive x-axis or i guess i can say just above the x-axis between x equals a and x equals b , that we can denote this area righ...
we know that the area is going to be alpha times beta . now if i scale up the vertical dimension by c , so instead of alpha this is c times alpha and this is , the width is beta , if i scale up the vertical dimension by c so this is now c times alpha , what 's the area going to be ? well it 's going to be c alpha times...
what if we scale the horizontal axis instead of the vertical axis , by c ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie .
what is the diffrence between fractions and decimals ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie .
what is the line that separates the numerator from the denominator ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
well , we know that there was a total of 9 equal slices of pie . what fraction was eaten ? well , as we see , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 .
can we ever put the denominator on top of the numerator and still get a improper fraction ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
so one way i could do that , i could divide it into 3 sections first , so it looks like a peace symbol . it actually looks more like the mercedes emblem . so i 'll draw it into 3 sections first .
what is the mersadie 's emblem ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
that 's not what they 're asking . it 's saying total , not just how much did brandon eat , but how much was eaten total between brandon and gabriela . and they tell us gabriela ate 3 slices .
ann has how much more than carol ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
let me put that in here . so the same thing , we have -- well , this is a pizza now , not a pie . and so pizza i will draw in brown . it has 8 , and we can assume it 's initially 8 equal slices .
why is pizza also called pie ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
we 'd say 8 , and we use that little slash symbol on your computer like this . 8 over 9 or 8 divided by 9 or 8/9 of the pie was eaten . let 's do a couple more of these .
how were there instantly 8 pieces ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie .
how you convert the denominator ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie .
have you watched the star wars the force awakens ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
well , we know that there was a total of 9 equal slices of pie . what fraction was eaten ? well , as we see , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 .
what fraction of the population remained in single damily homes ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
let 's do a couple more of these . ishaan ate 2 slices of pizza . omar ate 3 slices . if there were originally 8 slices , what fraction of the pie is remaining ?
tiffany ate 1 slice of cake.omar ate 2 slices.if tiffany ate 1/5 of the cake and all the slices are the same size , what fraction of the cake was eaten in total ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
we 'd say 8 , and we use that little slash symbol on your computer like this . 8 over 9 or 8 divided by 9 or 8/9 of the pie was eaten . let 's do a couple more of these .
could n't you just add the amount of pie eaten by brandon and gabriela together ( 5 + 3 ) to arrive at ( 5+3 ) /9 or 8/9 ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
so we have 9 equal slices of pie . and i 'll just make sure they 're initially 9 equal slices . what fraction of the pie was eaten ?
why does sal only make the vidios ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
what fraction was eaten ? well , as we see , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 . 8/9 of the pie was eaten .
what is 2/5 = to ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
it has 8 , and we can assume it 's initially 8 equal slices . so it 's actually a little bit easier to draw 8 equal slices , since 8 is an even number . so let 's see .
is there a easier way to multiply fractions ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie .
if jose makes four flower arrangements , how many daisy flowers do you need ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
let 's do a couple more of these . ishaan ate 2 slices of pizza . omar ate 3 slices .
why is pie a `` slang '' term for pizza , in the annotation ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
it has 8 , and we can assume it 's initially 8 equal slices . so it 's actually a little bit easier to draw 8 equal slices , since 8 is an even number . so let 's see .
why is the bottom number is called the denominator ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie .
why are fractions so important ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
so we have 9 equal slices of pie . and i 'll just make sure they 're initially 9 equal slices . what fraction of the pie was eaten ?
how many yards did alicia use to make the tablecloth ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
so i 'll just draw it from the top view as a circle . and there 're 9 slices . i think it 's a reasonable assumption to say that they 're 9 equal slices . so we have 9 equal slices of pie . and i 'll just make sure they 're initially 9 equal slices .
in the video , why does the slices have to be equal slices , will the amount be different ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
so brandon eats -- he seems like a hungry young man -- so he eats 1 , 2 , 3 , 4 , 5 . you could say that he ate 5/9 of the pie . but that 's not it .
do you need to know fractions , or lets say division to get a good job ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
that 's not what they 're asking . it 's saying total , not just how much did brandon eat , but how much was eaten total between brandon and gabriela . and they tell us gabriela ate 3 slices .
how many total pieces were there ?
brandon ate 5 slices of apple -- of pie . i 'm just assuming it 's apple pie . they did n't tell me that . gabriela ate 3 slices . if there were originally 9 slices , what fraction of the pie was eaten ? so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so ...
so let me see if i can draw this thing out . so let me draw the pie . i will draw the pie in a yellowish color . so let me try my best .
how do sal draw on a computer , with his mouse or with a drawing pad ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
that was only that first day that i bought the 6 . so how much are those two guavas going to cost me ? how much are those two guavas going to cost at full price ?
why there are two lines on s ( reminds me of ducktales ' sign ) , but on my keyboard , there is only one line crossing s ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas .
how will you know which one is the base and the amount depending on the queston ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas .
i 'm confused at the part when sal writes 0 , 0.7x = 12.60 how does that happen and why ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
this is the sale price . how much would those have cost me at full price ? so let 's do a little bit of algebra here .
how much interest was phillip charged on his second bill ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
what is 17 % of 400 ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
how much are those two guavas going to cost at full price ? at full price ? so , a good place to start is , to think about how much would those 6 guavas have cost us at full price ?
what is the highest marked price that christopher can afford ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 .
given a number , say 3000 that increases to 3150 after 6 months , how do i determine what precentage the number increased by ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
i say , sure . so the next day i go and i want to buy 2 more guavas . so , 2 guavas .
by what percentage did gulnar 's bank account increase over the past day ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
how do you find a percent when it decreases ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
this is the sale price , right here ? this is the sale price . how much would those have cost me at full price ?
do you have to multiply if the sale is gone and you do n't know how to multiply , so what do you do ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
1 times 7 is 7 . 12 minus 7 is 5 . bring down the 6 .
a man saves rs 200 at the end of each year and lends the money at 5 % compound interest how much will it become at the end of 3 years ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
a store has a total ot 15.000 available for its montly expensed the store budget sets aside 10 percent of is budget for electricity how much money does the store plan to spend on electricity each month ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
we could imagine there 's a 1 in front -- you know , x is the same thing as 1x . so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number .
how is 0.30x equivlant to 70 percent ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ? i say , sure .
what does '' home school '' mean ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 .
how does adding 20 percent the same as multiplying by 1.20 ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 .
where did the 1,20 come from ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas .
why not just 3x-3 ( 0.7 ) x=12.60 to shorten the problem ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 . 2 is 1/3 of 6 . so 1/3 of $ 18 is $ 6 .
if 50 liters were on hand , how much water should be added to reduce the sugar concentration to 3 % sugar ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
how do you turn a fraction into a percent ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
so if we have the full price of 6 guavas , we 're going to take 30 % off of that . so that 's the same thing as 0.30 . or i could just write 0.3 .
why would you put the variable x in front of the decimal 0.30 in the algabraic equation above ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas .
and why is x =1 ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
so it ; s 18 , in our case , $ 18 . so x is equal to $ 18 . remember what x was ? x was the full price of 6 guavas .
in class or somewhere else , how would you know to divide by x ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
so 18 divided by 6 is $ 3 . that 's $ 3 per guava at full price . and they 're asking us , we want 2 guavas .
and how do we find how much is the original guava price ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
they charge me $ 12.60 . $ 12.60 . so this is the 30 % off sale price on 6 guavas .
i 'm not asking a question but u mostly confuse me when u did the math x-0.3x=12.60 this is what i came up with in my mind .3x to the second power =12.60 ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas .
hi sal , how r u , i hav one doubt in this question , first u say that in 1st day 30 % off and in next day 30 % off closes so u hav to calculate without 30 % off on 2guavas ... .. but u calculated 30 % off on 2 guavas too ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
$ 12.60 . so this is the 30 % off sale price on 6 guavas . i go home , and then my wife tells me , you know , sal , can you go get 2 more guavas tomorrow ?
so what is 30 % of the 6 guavas also what is the original price before sale ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
so 2 guavas is going to be 2 times $ 3 , so this is going to be $ 6 . $ 6 . another way you could have done it , you could have just said , hey , 6 at full price are going to cost me $ 18 .
would $ 5.46 be equivalent to $ 6 ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
so we get 0.7x , or we could say 0.70 if you like . same number . point , or 0.7x , is equal to 12.60 .
if 42 % of a number n is 8.4 , what is the value of n ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
how to calculate a fraction ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
how to calculate a percentage ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off .
what is the survival rate of the seedling ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
so 1x minus 0.3x is going to be equal to 0.7x . so we get 0.7x , or we could say 0.70 if you like . same number .
how did sal get 70 % in the math problem ?
let 's say i go to the fruit store today and they have a sale on guavas . everything is 30 % off . this is for guavas . and it 's only today . only today . so i say , you know what , let me go buy a bunch of guavas . so i go and i buy 6 guavas . so i buy six guavas . and it ends up , when i go to the register , and we ...
you might just skip to this step once you get used to these problems in a little bit . and now we just have to solve for x. divide both sides by 0.7 , so you get x is equal to 12.60 divided by 0.7 . we could use a calculator , but it 's always good to get a little bit of practice dividing decimals .
what the heck does x-0.30x mean ?