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Stella wants to buy a new book to read. The book costs $10.00. However, the bookstore has a deal going on where if you buy 2 books, you get the third one for half the price. If Stella decides to buy three books, how much will she spend (before tax)?
Answer: The first book will cost $10.00
The second book will also co... |
A baseball team has 11 players and each player consumes 3 liters of water during a game. If the coach drinks twice as much as a player and the team plays 3 games a week for 12 weeks, how many liters of water will the team and the coach need for the entire season?
Answer: Each player drinks 3 liters of water per game ... |
A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 24 and a standard deviation of 4.5. Scores on the second test are normally distributed with a mean of 70 and a standard deviation of 11.3. Assume that the two tests use diff... |
Raymond wants to buy a new bicycle. It costs $110. If he has saved $70 so far, what percentage of the amount has he saved so far?
Answer: The amount he still needs to save is $110 - $70 = $<<110-70=40>>40
The percentage he has saved so far is $70 / $110 * 100% = $<<70/110*100=63.636363636363636>>63.636363636363636%
#... |
Two trains leave the terminal at the same time. The first train travels at 50 miles per hour and the second at 55 miles per hour. If the first train leaves 15 minutes before the second one, how much time will pass before the second train overtakes the first?
Answer: In 15 minutes, the first train will travel 50/4 = 1... |
In a certain Algebra 2 class of 26 students, 18 of them play basketball and 7 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer: There are 26 - 5 = 21 students who play at least one sport... |
A ball is thrown upward at time t = 0 seconds from a height of 10 meters above the ground with an initial speed of 10 meters per second. Assume that the ball is in free fall. What is the maximum height that the ball will reach?
Answer: The ball will reach its maximum height when its velocity is 0.
The acceleration du... |
There are 150 penguins in a large zoo. 30 percent of the penguins are male. How many of the penguins are female?
Answer: 100% - 30% = 70%
70% of 150 = 105
#### 105
Question: There are 550 students in a local high school. 45 percent are freshmen or sophomores. How many students are not freshmen or sophomores?
Answer:... |
The number of apples in a fruit sale is three times the number of peaches. If 5246 apples were sold, how many peaches were sold?
Answer: If the number of apples is 3 times the number of peaches, then the number of peaches is 5246 / 3 = <<5246/3=1748.6666666666665>>1748.6666666666665 peaches
#### 1748.6666666666665
Qu... |
There are 141 gold balloons and twice as many silver balloons. If the gold and silver balloons were added to 150 black balloons, how many balloons are there in total?
Answer: Gold = <<141=141>>141
Silver = 141 * 2 = <<141*2=282>>282
141 + 282 + 150 = <<141+282+150=573>>573
There are 573 gold, silver, and black balloo... |
A grocery store sells a 7 ounce bag of raisins for $1.10 and a 9 ounce bag of raisins for $1.46. Which size bag has the lowest price per ounce?
Answer: The price per ounce for the 7 ounce bag is $1.10 / 7 = $<<1.10/7=0.15714285714285713>>0.15714285714285713 per ounce
The price per ounce for the 9 ounce bag is $1.46 /... |
Two trains simultaneously depart towards each other on the same track. The distance between the two stations is 100 kilometers. The first train travels at 50 kilometers per hour, and the second train travels at 100 kilometers per hour. How many kilometers does the slower train travel before they meet?
Answer: The fir... |
A trader wants to walk back to his home island from the opposite island of a small spherical island. There are only 3 ways for him to take: walking over the surface of the spherical island (which the trader can do in 12 hours of walking), taking the boat (which the trader can do in 6 hours of sailing), or walking thro... |
A ball is thrown into a rectangular box full of socks. If the box contains 18 red socks, 12 black socks, and 10 white socks, what is the probability that the ball will land on a black sock?
Answer: The total number of socks is 18 + 12 + 10 = 40
The probability of landing on a black sock is 12/40 = 3/10
#### 0.3
Quest... |
Amy wants to organize a charity event for children living with cancer and she's planning on making a game station for the children. She decides that 0.25 of the 200 children attending the event should get to play a game. How many children should get to play a game?
Answer: 200 * 0.25 = <<200*0.25=50>>50
#### 50
Quest... |
Two trains leave the station in Chicago at the same time. Train A is heading west and Train B is heading east. The train heading west is traveling 10 miles per hour faster than the train heading east. After 5 hours, they are 550 miles apart. How fast is each train going?
Answer: Let x be the speed of Train B in miles... |
A science laboratory does an experiment in which they observe how quickly a chemical reaction occurs at different temperatures. They find that at 40 degrees Celsius the reaction takes 48 minutes, but at 10 degrees Celsius the reaction time is 72 minutes. If the reaction time increases by a factor of 1.5 for each decre... |
The number of apples in a fruit sale is three times the number of peaches. If there are 150 apples in the sale, how many fruits are there in total?
Answer: If there are 150 apples then there are 150/3 = <<150/3=50>>50 peaches.
The total number of fruits is 150 + 50 = <<150+50=200>>200
#### 200
Question: A local groce... |
A ladder is leaning against a vertical wall. The top of the ladder is 9.0m above the ground. If the bottom of the ladder is then moved 3.2m farther from the wall, the top of the ladder rests against the foot of the wall. How long is the ladder?
Answer: Let x be the distance of the foot of the ladder from the wall, th... |
Two trains leave the same train station at the same time. One train travels at a constant speed of 70 mph and the other travels at a constant speed of 85 mph. Assuming both trains maintain the same speeds, at what time will they be 117.25 miles apart?
Answer: The trains are moving apart at a rate of 85 - 70 = 15 mph
... |
Each day 1000 people move from rural areas to urban areas, while 2000 move from urban areas to rural areas. If there are 30,000 people in urban areas, how many will be there in 100 days?
Answer: Every day the population of the urban areas increases by 2000-1000=1000 people. In 100 days the population will increase by... |
Amy is building a house. The basement floor is at -15 feet below ground level, and the roof of the house is 25 feet above ground level. Express the comparison of these heights as an inequality.
Answer: The inequality representing the comparison of the basement floor and roof heights is: -15 < 25
#### -15<25
Question:... |
A study of 200 advertising executives found that 96 of them use direct-mail advertising, 110 of them use online advertising, and 88 of them use both direct-mail advertising and online advertising. How many of these executives do not use direct-mail advertising or online advertising?
Answer: The number of executives w... |
Two trains leave the station in Chicago at the same time. Train A is heading north and Train B is heading south. The train heading north is traveling at 60 miles per hour. The train heading south is traveling at 80 miles per hour. How long will it take for the two trains to be 700 miles apart?
Answer: The trains are ... |
Ethan is trying to start a new exercise routine and trains for a total of 275 minutes in a week. On weekends, he trains 55 minutes per day. On weekdays, he trains 20 minutes per day. How many days a week does Ethan train?
Answer: Ethan trains 110 minutes on the weekends because 55*2=<<55*2=110>>110
He trains 275-110=... |
A ball is thrown upwards at an initial speed of 20 m/s. What is the maximum height the ball can reach?
Answer: The ball will reach its maximum height when its velocity is 0. Using the equation $v^2 = u^2 + 2as$, where $v$ is the final velocity, $u$ is the initial velocity, $a$ is the acceleration, and $s$ is the disp... |
A box of 150 balls contains 100 black balls and 50 white balls. What is the percentage of each color ball?
Answer: There are 100 black balls in the box, so the percentage of black balls is 100 / 150 = 0.6666666666666667 or 66.67%
There are 50 white balls in the box, so the percentage of white balls is 50 / 150 = 0.33... |
Two trains leave the same train station at the same time, one train travels north at 50 mph and the other train travels south at 60 mph. In how many hours will the two trains be 275 miles apart?
Answer: In one hour, the trains will be 110 miles apart because 50 + 60 = <<50+60=110>>110
Then divide 275 by 110 to get 2.... |
A cook needs to prepare 2 batch of cookies and 3 batches of brownies. If one batch of cookies requires 12 ounces of butter and one batch of brownies requires 6 ounces of butter, how much more butter does he need for the cookies than the brownies?
Answer: The total butter needed for cookies is 12 x 2 = <<12*2=24>>24 o... |
A gardener has 480m of fencing to make a rectangular vegetable garden, using his house for one side. What's the greatest area he can make?
Answer: The greatest area will be when the length and width are equal. If we let x be the length, then the width will also be x, and the perimeter will be 2x + 2x = 4x. Setting th... |
A grocery store had 100 bottles of soda. Half of them were sold on Saturday. If they plan to have 50 bottles of soda for the next week, how many bottles of soda must be ordered?
Answer: The store sold 100 / 2 = <<100/2=50>>50 bottles on Saturday
This leaves the store with 100 - 50 = <<100-50=50>>50 bottles
The store ... |
The number of apples in a basket is between 60 and 120. If the apples are divided equally among 8, 10, or 12 children, there will be no remainder. How many apples are in the basket?
Answer: The lowest common multiple of 8, 10, and 12 is 120
The number of apples is 120
#### 120 |
A rectangle has a width of 12 centimeters and the length is three times more than the width. What is the perimeter of the rectangle?
Answer: The length of the rectangle is 36 cm because 12 * 3 = <<12*3=36>>36
The perimeter of the rectangle is 2 * 12 + 2 * 36 = 24 + 72 = <<24+72=96>>96 cm
#### 96
Question: Simon's aqu... |
A ball is thrown upwards at an angle of 30 degrees with the horizontal and lands on the top edge of a building that is 20 meters away. The top edge is 5 meters above the throwing point. How fast was the ball thrown?
Answer: Using the equations of motion for projectile motion, we can solve for the initial velocity. Th... |
Bob can read 30 pages in an hour and Bill can read 20 pages in an hour. If Bob reads for 3 hours and Bill reads for 2 hours, how many more pages will Bob have read than Bill?
Answer: Bob will read 30 pages/hour * 3 hours = <<30*3=90>>90 pages
Bill will read 20 pages/hour * 2 hours = <<20*2=40>>40 pages
Bob will read ... |
Two trains leave the station in Hartford at the same time. One train is traveling due north at a speed of 65 mph and the other train is traveling due south at a speed of 55 mph. When will the trains be 100 miles apart?
Answer: Since the trains are traveling in opposite directions, their speeds add up. Therefore, the c... |
A ball is thrown upwards at an initial velocity of 15 m/s at an angle of 30° from the horizontal. Calculate the maximum height the ball reaches. (Neglect air resistance and assume the acceleration due to gravity is 9.81 m/s².)
Answer: The vertical component of the initial velocity is v_y = 15 * sin(30°) = 7.5 m/s.
The... |
Two trains leave the terminal at the same time. The first train travels at 60 miles per hour. The second train leaves 30 minutes later at 70 miles per hour and travels in the same direction on a parallel track. Let 't' be the time in hours that the first train has traveled. If the second train has traveled 210 miles, ... |
A toy store has 120 days to sell 200 toys. The store sells an average of 4 toys a day. How many more toys must they sell per day in order to meet their target?
Answer: 200 toys / 120 days = 1.67 toys per day.
4 toys per day - 1.67 toys per day = 2.33 toys per day more.
#### 2.33
Question: There are 40 students in the... |
A ball is dropped from a height of 160 cm. The ball loses 25 percent of its height each time it bounces. What will the height be of the ball after the fifth bounce?
Answer: After the first bounce, the ball will be 75% of 160 cm or 0.75 * 160 = <<0.75*160=120>>120 cm.
After the second bounce, the ball will be 75% of 1... |
A digital music library takes up 15000 megabytes of disk space per year. If a computer has 100000 megabytes of hard drive space, how many years of music can it store?
Answer: 100000 / 15000 = <<100000/15000=6.666666666666667>>6.666666666666667
#### 6.666666666666667
Question: In a certain desert environment, there ar... |
Two trains leave the station in Chicago at the same time. Train A is heading north and Train B is heading south. The train heading north is traveling at 60 miles per hour. The train heading south is traveling at 80 miles per hour. How long will it take them to be 770 miles apart?
Answer: The two trains are moving awa... |
12/16 * 4/12 = 1/4. How many pieces of pizza were there in total?
Answer: 12/16 * 4/12 = 1/4
4/16 = 1/4
16/4 = 4
#### 4
Question: A cookfire burns three logs every hour. It was built with six logs to start. If it gets two more logs added to it at the end of every hour, how many logs will be left after 3 hours?
Answe... |
A water tank is being filled at a rate of 3 gallons per minute. If the tank currently has 10 gallons of water in it, how much water will be in the tank after 5 hours?
Answer: There are 60 minutes in 1 hour, so in 5 hours there are 5 * 60 = <<5*60=300>>300 minutes.
Since the tank is being filled at a rate of 3 gallons... |
An airplane flights from Los Angeles to London, a distance of 5300 miles, at an average rate of 500 miles per hour. How many miles will the plane have left to fly after 9 hours?
Answer: After 9 hours, the plane will have traveled 9*500=4500 miles
The plane will have 5300-4500=<<5300-4500=800>>800 miles left to fly
##... |
A ball is dropped from a height of 160 cm. The ball loses 25 percent of its height each time it bounces. What will the height be of the ball after bouncing four times?
Answer: After the first bounce, the ball will reach a height of 160 cm * 75% = <<160*0.75=120>>120 cm
After the second bounce, the ball will reach a h... |
A cargo ship moving from Shanghai to Vancouver navigates for 21 days before reaching port. Customs and regulatory processes in Vancouver last 4 days. Finally, moving the cargo from the port to your rural warehouse takes some time and it always arrives on the seventh day. How many days ago should the ship have departed... |
In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer: 16+9+5=30
30-26=4
4/26=2/13
#### 2/13
Question: There are ... |
Stella wants to order a pizza that costs $10 (without cheese). Each additional topping costs $2. If she orders a pizza with 2 toppings and pays with a $20 bill, how much should she get in change?
Answer: The cost of the pizza with 2 toppings is $10 + $2 + $2 = $<<10+2+2=14>>14
Stella paid $20 so she should get $20 - ... |
A man is going to visit a factory for 5 days. But he is going to be late by 20 minutes on the first day and each day he will be late by 7 minutes compared to the previous day. How late will he be on the last day?
Answer: On the first day he is 20 minutes late. On the second day he will be 7 minutes later than the fir... |
A math student bought 11 calculators from a store. He bought 10 regular ones for $12 each and 1 graphing calculator for $55. If he needed to only spend $139, then he would have spent $<<10*12+55=175>>175 on calculators. How much money did he have left?
Answer: The student spent $175 on calculators but only had $139 t... |
In a certain algebra 2 class of 26 students, 18 of them play basketball and 7 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer: 26 - 5 = 21 students play basketball or baseball
18 + 7 = ... |
A grocery store had 100 bottles of soda. Half of them were sold on Friday. On Saturday, they sold 25 bottles and on Sunday, they sold 15 bottles. How many bottles do they have left after three days?
Answer: After Friday, the store had 50 bottles because 100 / 2 = <<100/2=50>>50
After Saturday, the store had 25 bottle... |
The distance from Jupiter to Mars is approximately 36 AUs (Astronomical Units). What is the distance from Jupiter to Mars in km?
Answer: There are 149,600,000 km in 1 AU or 149,600,000*36 = <<149600000*36=5385600000>>5,385,600,000 km
#### 5385600000
Question: If there are 100 students in a classroom and 40% are girls... |
Jeremy is building a deck for a community center. The deck is shaped as a rectangle. The width of the deck is 29 ft. The perimeter of the deck is to be at least 134 ft. Write an inequality that represents all possible values for the length of the deck.
Answer: The perimeter of a rectangle is the sum of all the sides.... |
Stella wants to buy a dress for $100. She has $10 in her savings. If she makes $5 per day, how many days will it take her to save enough money to buy the dress?
Answer: She will need to save $90 more because 100 - 10 = <<100-10=90>>90
She will need to work for 18 days because 90/5 = <<90/5=18>>18
#### 18
Question: A ... |
There are 16 slices of pizza. If Christian takes 2 slices and Katie takes 3 slices, how many slices will remain?
Answer: Christian takes 2 slices from 16, 16 - 2 = <<16-2=14>>14
Katie takes 3 slices from 14, 14 - 3 = <<14-3=11>>11
#### 11
Question: A wildlife sanctuary has 48 elephants. If 10 elephants live in the wa... |
There are 500 goldfish in the fish tank. Every week, 50 goldfish do not survive. How many weeks will pass until the fish tank is empty?
Answer: 500 / 50 = 10
#### 10
Question: There is a 5,200 sq. ft. house and a 7,300 sq. ft. house next to each other. The smaller house is being expanded. If the new total square foot... |
It takes Andrew 2 minutes to checkout each carton of eggs and 3 minutes to checkout each carton of cookies. How many seconds does it take to finish the checkout of 6 cartons of eggs and 4 cartons of cookies?
Answer: It takes 6*2 = <<6*2=12>>12 minutes to checkout the eggs
It takes 4*3 = <<4*3=12>>12 minutes to checko... |
There are 141 gold balloons and twice as many silver balloons. If the gold and silver balloons were added to 150 black balloons, how many balloons are there in total?
Answer: Gold = <<141=141>>141
Silver = 141 * 2 = <<141*2=282>>282
141 + 282 + 150 = <<141+282+150=573>>573
There are 573 gold, silver, and black balloo... |
It takes Andrew 2 minutes to reach for his bag in the morning and 30 seconds to reach for his bag in the evening. How many seconds faster is the morning than the evening?
Answer: Andrew takes 2 * 60 = <<2*60=120>>120 seconds to reach for his bag in the morning.
120 - 30 = <<120-30=90>>90 seconds
#### 90
Question: Dav... |
There are 2000 mangoes that need to be transported from果园 to a grocery store. Each truck can carry 200 mangoes. However, due to the hot weather, each truck can only make one trip. How many trucks are needed to transport all the mangoes to the grocery store?
Answer: 2000 / 200 = <<2000/200=10>>10
#### 10
Question: 637... |
A container ship left the port and had 500 containers on board. After it had traveled 160 miles, 30% of the containers fell off. How many containers fell off?
Answer: 30% of 500 is 150 because 500 * 30% = <<500*0.3=150>>150
#### 150
Question: It takes 30 minutes for a car to be cleaned at a carwash. This is 1/6 of th... |
It takes 4 men 4 days to build a wall that is 4 meters high, 4 meters long, and 1 meter wide. How many men would it take to build a wall half as high, twice as long, and twice as wide as one that was built in 16 days?
Answer: The new wall is 2 meters high, 8 meters long, and 2 meters wide. It is 4 times as big as the... |
A dog walker charges $15 for the first dog and $10 for each additional dog. If the family has 2 dogs, how much will it cost?
Answer: The first dog is $15, the second dog is $10 so the total cost is $15 + $10 = <<15+10=25>>25
#### 25
Question: A basketball team scores 216 points in 8 quarters. How many points on avera... |
A bag of flour weighs 2 kilograms and a bag of sugar weighs 1 kilogram. If Katherine bought 30 bags of flour and 20 bags of sugar, what is the total weight in kilograms?
Answer: The weight of 30 bags of flour is 2 * 30 = <<2*30=60>>60 kilograms.
The weight of 20 bags of sugar is 1 * 20 = <<1*20=20>>20 kilograms.
The ... |
A new town was built 15 years ago to house the workers of a woollen mill established in a remote country area. 3/5 of the workers live in the town, while the others live elsewhere. The population of the town is 600 and the number of children is 200. An industry has established a mine near the town and the number of wo... |
Two trains leave the terminal at the same time. The first train travels at 60 miles per hour. The second train leaves 30 minutes behind going at 90 miles per hour. How long will it take for the second train to overtake the first train?
Answer: The first train travels at 60 miles per hour. The second train leaves 30 mi... |
In a sequence of 10 numbers, the first number is 1 and the last number is 100. If the sequence follows a pattern where each number is the square of the previous number, what is the fifth number in the sequence?
Answer: The first number is 1 and the last number is 100. If the sequence follows a pattern where each numb... |
Two trains leave the station in Hartford at the same time. One train is traveling due north at a speed of 65 mph and the other train is traveling due south at a speed of 55 mph. When will the trains be 100 miles apart?
Answer: The trains will be 100 miles apart after 1 hour because 65 + 55 = 120 miles in one hour and... |
It takes 4 apples to make 1 pie. It takes 9 pies to feed a group to people. If there are going to be 81 people at the gathering, how many apples does Evan need to buy?
Answer: For 81 people, he needs to make 9 pies because 81 / 9 = <<81/9=9>>9
He needs 36 apples to make 9 pies because 9 x 4 = <<9*4=36>>36
#### 36
Que... |
Two trains leave the same train station at the same time, one train travels north at 50mph and the second train travels south at 60mph. In how many hours will the two trains be 275 miles apart?
Answer: The two trains are traveling at 50 + 60 = 110mph away from each other.
275 miles / 110 mph = 2.5 hours
#### 2.5
Ques... |
A toy store has a beginning inventory of eight sets of paints at a cost of \$1.25 each. During the year, the toy store purchased three at \$1.50, five at \$2, six at \$2.50, and ten at \$3. By the end of the year, 21 sets were sold. Calculate the cost of goods sold for the sets of paints.
Answer: The cost of the begi... |
There are 175 snack cakes on a tray. 25% of them have caramel in them, 1/5 have chocolate chips, and the remainder have nuts in them. How many snack cakes have nuts in them?
Answer: 25% of 175 = $175 \times 25/100 = $<<175*25/100=43.75>>43.75
1/5 of 175 = 175/5 = <<175/5=35>>35
175 - 43.75 - 35 = 96.25
#### 96.25
Que... |
A game has a cost of 3 dollars and a potential prize of 1000 dollars. There is a 2.5% chance of winning. Is it worth playing?
Answer: The expected value of the game is 1000 * 2.5% - 3 = $25 - $3 = $<<1000*0.025-3=22>>22
Since the expected value is positive, it is worth playing.
#### worth
Question: A 12 pack of Coke ... |
A formula to calculate a person's body mass index is B=703*w/h^2. Part A: What is the BMI for a student who is 5 feet tall and weighs 100 pounds? Round to the nearest tenth. Part B: Which of the following is an accurate interpretation of your answer? a) If a student weighs 100 pounds, then he or she is at a healthy we... |
A toy store has a beginning inventory of eight sets of paints at a cost of \$1.25 each. During the year, the toy store purchased three at \$1.50, five at \$2, six at \$2.50, and ten at \$3. By the end of the year, 21 sets were sold. Calculate the cost of goods sold for the sets of paints.
Answer: The total cost of th... |
A takes 45 minutes to do her statistics homework, B takes 30 minutes to do the same, and C takes 1.5 hours. How long will it take them to do their homework together?
Answer: A can do 1/45 of the homework in one minute.
B can do 1/30 of the homework in one minute.
C can do 1/90 of the homework in one minute.
Together ... |
Jeremy has a balance of $2,450 on a credit card with an 18.6% interest rate compounded monthly. If he wanted to pay off the card in 5 years making the same monthly payment, how much does he have to pay each month?
Answer: Jeremy needs to make 60 monthly payments because 5 years x 12 months/year = 60 months
The monthl... |
A ball is thrown from the top of a water tower, which is 96 feet tall. The ball is thrown at a speed of 16 feet per second. How long will it take for the ball to reach the ground?
Answer: We use the equation for projectile motion: h = -16t^2 + vt + h0
Where h is the height of the ball, t is the time, v is the initial... |
Jeremy's father drives him to school in rush hour traffic in 20 minutes. One day there is no traffic, so his father can drive him 18 miles per hour faster and gets him to school in 12 minutes. How far in miles is it to school?
Answer: Let the distance to school be x miles.
In traffic, the father drives at a speed of ... |
A gardener is planting two types of trees: Type A is 9 feet tall and increases at a rate of 3 inches per year. Type B is 5 feet tall and increases at a rate of 15 inches per year. Considering height growth and initial height, after how many years will type B be taller than type A?
Answer: Type A is initially taller t... |
Bob can read 30 pages in an hour, and he reads 2 hours every day. If Bob reads at a rate of 35 pages per hour after his daily reading time, how many pages would he be able to read in 3 days?
Answer: Bob reads 30 pages per hour, so he reads 30 pages/hour * 2 hours/day = <<30*2=60>>60 pages/day
After his daily reading t... |
A ball is thrown upwards from a building with an initial velocity of 18 m/s. The height of the ball, y, in metres, is the given by the function y(t) = -5t^2 + 18t + 20, where t is the time in seconds. What is the maximum height the ball reaches?
Answer: To find the maximum height, we need to find the vertex of the par... |
John and Amy are planning on having 4 kids. Assuming that the probability of having a boy or girl is equal, what is the probability that they will have at least one boy?
Answer: There are 2^4 = 16 different possible outcomes for the genders of the 4 children. Only 1 of these is all girls.
So the probability of havin... |
A formula for a bread recipe calls for 3 cups of flour and makes three loaves of bread. If you only want to make 2 loaves of bread, then how many cups of flour will you need?
Answer: To make 2 loaves of bread, you will need 2 * 3 / 3 = 2 cups of flour.
#### 2
Question: A bag of flour weighs 3 kilograms. A recipe need... |
A ball is thrown upward at 58 feet per second from the top of an 80 foot building. The height of the ball can be modeled by the equation H(t) = -16t^2 + 58t +80. When will the ball hit the ground?
Answer: The ball will hit the ground when H(t) = 0. So we need to solve the equation -16t^2 + 58t + 80 = 0. Using the quad... |
In a certain lake, the amount of sunlight penetrating the surface is 18% less than what lies just below the surface. If this reduction holds continuously through the lake, at what depth in feet will the sunlight be only 25% of that at the surface?
Answer: This is a problem that uses the formula for exponential decay.... |
There are 500 goldfish in the fish tank. Each goldfish eats 1.5 ounces of food per day. If the tank has 400 fish, how much food should be poured in the tank daily?
Answer: If the tank has 400 fish and each fish eats 1.5 ounces of food per day then the fish tank should have 400 * 1.5 = <<400*1.5=600>>600 ounces of food... |
In a group of 20 kids, 40% of them are playing lego. How many of them are not playing lego?
Answer: The number of kids playing lego is 20 * 40% = 20 * 40/100 = 20 * 0.4 = <<20*0.4=8>>8
Therefore, the number of kids not playing lego is 20 - 8 = <<20-8=12>>12
#### 12
Question: In a bag of candy, there are five red cand... |
The number of apples in a basket is between 60 and 120. If the apples are divided equally among 8 children, 1 apple will remain. If the apples are divided equally among 10 children, 7 apples will remain. How many apples are in the basket?
Answer: The number of apples in the basket is 107 because 107/8 = 13 and 1 appl... |
Each of the 18 students in Joe's class collected 12 cans for the food drive. However, if they collected more than 200 cans total, each student would get an additional 7 cans. How many cans were collected?
Answer: They collected 18 * 12 = <<18*12=216>>216 cans
Since 216 > 200, they get 7 additional cans each, so the t... |
Three coworkers agree on a lunch deal: if any one of them has both a salad and a pizza to eat, they will split the bill equally. If any one of them is peckish and only wants a pizza, they will pay for their own lunch. If they all want a salad and a pizza, they will also split the bill equally. They all want a salad th... |
Two trains simultaneously depart towards each other on the same track. The distance between them is 100 kilometers. The left train is traveling at 15 kilometers per hour and the right train is traveling at 10 kilometers per hour. After 1 hour, the trains meet. How many minutes later will they be 25 kilometers apart ag... |
Two trains are heading towards each other on the same track. Train A is traveling at 70mph and Train B is travelling at 75mph. A bird starts flying from the nose of train A and flies back and forth between the trains until they pass each other. If the distance between the trains is 300 miles, how many miles will the b... |
A ball is thrown upwards at an angle of 30 degrees to the horizontal from a height of 5 feet. The height of the ball at time t is given by h(t) = -16t^2 + 16t + 5. How long does it take for the ball to reach its maximum height?
Answer: The maximum height occurs when the derivative of h(t) is equal to 0. So, we need t... |
A plane leaves Boston traveling at 550 mph. Two hours later, another plane leaves New York traveling at 700 mph. If the distance between Boston and New York is 2000 miles, how long after the first plane leaves will it be before the second plane catches up with the first?
Answer: The first plane is traveling 1100 mile... |
A ball is thrown upwards at an initial velocity of 15 meters per second (m/s). The height of the ball, h, as a function of time, t, can be modeled by the equation h(t) = 15t - 5t^2. How long does it take for the ball to reach its maximum height?
Answer: To find the time it takes for the ball to reach its maximum heig... |
There are 141 gold balloons and twice as many silver balloons. If the gold and silver balloons were added to 150 black balloons, how many balloons are there in total?
Answer: Gold = <<141=141>>141
Silver = 141 * 2 = <<141*2=282>>282
141 + 282 + 150 = <<141+282+150=573>>573
There are 573 gold, silver, and black balloo... |
Each of the 25 members of the Apples for Apples fruit company was asked to fill a bag with apples to sell in a local mall. The members averaged 16 apples per bag with a standard deviation of 3 apples. If each bag of apples sold for $5, how much money did the company expect to earn?
Answer: The company sold 16 * 25 = <... |
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