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Question:
q and r are two-digit positive integers that have the same digits but in reverse order. If the positive difference between q and r is less than 70, what is the greatest possible value of q minus r?
Answer:
Let's denote the two digits of the two-digit numbers q and r as x and y, where x is the tens digit and ... |
Question:
q and r are two-digit positive integers that have the same digits but in reverse order. The positive difference between q and r has a certain property. The greatest possible value of q minus r is 63. What is the property of the positive difference between q and r?
Answer:
Let's denote the two digits of the t... |
Question:
At a certain paint store, forest green is made by mixing 4 parts blue paint with 3 parts yellow paint. Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint. How many liters of yellow paint must be added to 7 liters of forest green to change it to verdant green?
Answer:
To solve this p... |
Question:
A seller is selling an apple for some price, and the seller loses 1/6th of what it costs him. The cost price (CP) of the apple is Rs. 17. What is the selling price of the apple?
Answer:
If the seller loses 1/6th of the cost price (CP), then the seller is selling the apple for 5/6th of the CP.
The CP of the ... |
Question:
At a certain paint store, forest green is made by mixing 4 parts blue paint with 3 parts yellow paint. Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint. How many liters of yellow paint must be added to a certain amount of forest green to change it to verdant green if the answer is ... |
Question:
A seller is selling an apple for Rs. 16, and the seller loses a fraction of what it costs him. The cost price (CP) of the apple is Rs. 17. What is the fraction of the loss compared to the cost price?
Answer:
To find the fraction of the loss compared to the cost price (CP), we first need to calculate the loss... |
Question:
A seller is selling an apple for Rs. 16, and the seller loses 1/6th of what it costs him. What is the cost price (CP) of the apple?
Answer:
Let's assume the cost price (CP) of the apple is Rs. x.
According to the given information, the seller loses 1/6th of the cost price when he sells the apple for Rs. 16.... |
Question:
seller selling an apple for rs . 16 , a seller loses 1 / 6 th of what it costs him . the cp of the apple is ?
Answer:
Let's denote the cost price (CP) of the apple as 'x'.
According to the problem, when the seller sells the apple for Rs. 16, he incurs a loss of 1/6th of the cost price.
So, the loss amount ... |
Question:
What is the smallest number which when increased by 3 is divisible by 9, 70, 25, and 21?
Answer:
To find the smallest number that satisfies the given conditions, we need to find the least common multiple (LCM) of the divisors (9, 70, 25, and 21) and then subtract 3 from it.
First, let's find the prime facto... |
Question:
Find the smallest number which when increased by 3 becomes divisible by a certain number, 70, 25, and 21. The smallest number is 3153 when increased by 3. What is the certain number?
Answer:
To find the certain number by which the smallest number becomes divisible when increased by 3, we need to find the lea... |
Question:
What is the smallest number which when increased by a certain number becomes divisible by 9, 70, 25, and 21? The smallest number is 3153 when increased by this certain number. What is the certain number?
Answer:
To find the certain number that needs to be added to 3153 to make it divisible by 9, 70, 25, and ... |
Question:
an employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee ' s total weekly income would remain unchanged . by what percent should the number of hours worked be reduced ?
Answer:
Let's assume the employee's original hourly wage is \( W... |
Question:
An employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?
Answer:
Let's assume the employee's original hourly wage was $W$ and... |
Question:
Find the smallest number which when increased by 3 becomes divisible by 9, 70, 25, and a certain number. The smallest number is 3153 when increased by 3. What is the certain number?
Answer:
To find the certain number by which the smallest number (3153 + 3 = 3156) is divisible, we need to find the least commo... |
Question:
There are 150 'zeroes' and 151 'ones' written on a blackboard. A step involves choosing 3 digits and replacing them with a single digit. If all the 3 digits are identical, they are replaced with the same digit. Otherwise, the digit that appears twice replaces the 3 chosen digits. What is the minimum number of... |
Question:
Find the smallest number which when increased by 3 becomes divisible by 9, 70, a certain number, and 21. The smallest number is 3153 when increased by 3. What is the certain number?
Answer:
To find the certain number that, along with 9, 70, and 21, divides the smallest number increased by 3 (which is 3153 + ... |
Question:
There are some 'zeroes' and 151 'ones' written on a blackboard. A step involves choosing 3 digits and replacing them with a single digit. If all the 3 digits are identical, they are replaced with the same digit. Otherwise, the digit that appears twice replaces the 3 chosen digits. The minimum number of steps ... |
Question:
what is the smallest number which when increased by 3 is divisible by 9 , 70 , 25 and 21 ?
Answer:
To find the smallest number that satisfies the given conditions, we need to find the least common multiple (LCM) of the divisors (9, 70, 25, and 21) and then subtract 3.
First, let's find the LCM of the diviso... |
Question:
An employee whose hourly wage was increased by some percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. The number of hours worked should be reduced by 20 percent. By what percent was the hourly wage increased?
Answer:
Let's denote ... |
Question:
If the price of a certain computer increased 30 percent from d dollars to 377 dollars, then what is the value of 2 times the original price?
Answer:
Let's call the original price of the computer "P". According to the information given, the price increased by 30 percent, which means the new price is 130% of t... |
Question:
There are 150 'zeroes' and some 'ones' written on a blackboard. A step involves choosing 3 digits and replacing them with a single digit. If all the 3 digits are identical, they are replaced with the same digit. Otherwise, the digit that appears twice replaces the 3 chosen digits. The minimum number of steps ... |
Question:
there are 150 ' zeroes ' and 151 ' ones ' written on a black board . a step involves choosing 3 digits and replacing them with a single digit . if all the 3 digits are identical , they are replaced with the same digit . otherwise , the digit that appears twice replaces the 3 chosen digits . what is the minimu... |
Question:
The price of a certain computer increased by a certain percentage from d dollars to 377 dollars. If 2d equals 580, what is the percentage increase in the price of the computer?
Answer:
First, we need to find the original price of the computer, which is represented by d. We are given that 2d equals 580, so we... |
Question:
If the price of a certain computer increased 30 percent from d dollars to 377 dollars, what is the ratio of the sum of the original price and the increased price to the original price?
Answer:
Let's denote the original price of the computer as d dollars.
After a 30 percent increase, the new price is 377 dol... |
Question:
if the price of a certain computer increased 30 percent from d dollars to 377 dollars , then 2 d =
Answer:
Let's call the original price of the computer "P". According to the information given, the price increased by 30 percent from "P" dollars to 377 dollars.
To find the original price "P", we can set up ... |
Question:
If the price of a certain computer increased 30 percent to 377 dollars, and 2 times the original price equals 580, what was the original price of the computer?
Answer:
Let's call the original price of the computer P.
According to the information given, the price of the computer increased by 30 percent, whic... |
Question:
The average weight of A, B, and C is 84 kg. If D joins the group, the average weight of the group becomes 80 kg. If another man E, who weighs 3 kg more than D, replaces A, then the average of B, C, D, and E becomes some kg. What is the new average weight of the group when E replaces A if the weight of A is 75... |
Question:
the avg weight of a , b & c is 84 kg . if d joins the group , the avg weight of the group becomes 80 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 79 kg . what is the weight of a ?
Answer:
Let's denote the weights of A, B, and C as A, B, and C respect... |
Question:
If the price of a certain computer increased 30 percent from d dollars, and 2d equals 580, what is the new price of the computer after the increase?
Answer:
First, we need to find the value of d. We know that 2d equals 580, so we can solve for d:
2d = 580
d = 580 / 2
d = 290
Now that we know d is 290 dolla... |
Question:
Find the unknown term in the sequence 8, x, 2, -4, -12. What is the second term of the sequence?
Answer:
To find the unknown term in the sequence, we need to determine the pattern of the sequence. Let's look at the differences between the terms:
- The difference between the second term (x) and the third ter... |
Question:
Find the unknown term in the sequence 8, 86, 2, x, -12. What is the fourth term of the sequence?
Answer:
To find the unknown term in the sequence, we need to determine the pattern or rule that the sequence follows. Let's look at the differences between consecutive terms:
86 - 8 = 78
2 - 86 = -84
The differ... |
Question:
find the unknown term 8 , 86 , x , - 4 , - 12
Answer:
To find the unknown term x in the sequence, we need to determine the pattern or rule that the sequence follows. Let's look at the differences between consecutive terms:
86 - 8 = 78
x - 86 = ?
-4 - x = ?
-12 - (-4) = -8
We can see that the difference bet... |
Question:
The average weight of A, B, and C is 84 kg. If D joins the group, the average weight of the group becomes 80 kg. If another man E replaces A, and E weighs a certain amount more than D, then the average of B, C, D, and E becomes 79 kg. How much more does E weigh than D if the weight of A is 75 kg?
Answer:
Let... |
Question:
A certain company retirement plan has a rule of 70 provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. A female employee was hired on her 32nd birthday and could first be eligible to retire under this provision in 2007. In what year ... |
Question:
A certain company retirement plan has a rule that allows an employee to retire when the employee's age plus years of employment with the company total a specific number. A female employee was hired in 1988 on her 32nd birthday. She could first be eligible to retire under this provision in 2007. What is the re... |
Question:
A certain company retirement plan has a rule of 70 provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. A female employee was hired in 1988 on her 32nd birthday. In what year could she first be eligible to retire under this provision?... |
Question:
A certain company retirement plan has a rule of 70 provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. A female employee was hired in 1988 and could first be eligible to retire under this provision in 2007. How old was she when she w... |
Question:
a certain protective additive increases from 45 days to 60 days the time between required maintenance checks on an industrial vehicle . by what percent is the time between maintenance checks increased by using the additive ?
Answer:
To find the percentage increase, we can use the formula:
Percentage Increas... |
Question:
A certain protective additive increases the time between required maintenance checks on an industrial vehicle from 45 days to 60 days. By what percent is the time between maintenance checks increased by using the additive?
Answer:
To find the percent increase, we can use the formula:
Percent Increase = [(Ne... |
Question:
A certain protective additive increases the time between required maintenance checks on an industrial vehicle from 45 days to some days. The time between maintenance checks is increased by 33.33333333333333% by using the additive. What is the time between maintenance checks after using the additive?
Answer:
... |
Question:
a student got 74 % in math and 84 % in history . to get an overall average of 75 % , how much should the student get in the third subject ?
Answer:
Let's assume the third subject is worth the same as the other two subjects in terms of the overall average. Let's call the score the student needs to get in the ... |
Question:
A student got some percentage in math and 84% in history. To get an overall average of 75%, the student needs to get 67% in the third subject. What percentage did the student get in math?
Answer:
Let's denote the percentage the student got in math as M.
We have three subjects: math, history, and the third s... |
Question:
A student got 74% in math and some percentage in history. To get an overall average of 75%, the student needs to get 67% in the third subject. What percentage did the student get in history?
Answer:
Let's denote the percentage the student got in history as H.
The overall average is calculated by adding the ... |
Question:
A student got 74% in math and 84% in history. To get an overall average of 75%, how much should the student get in the third subject?
Answer:
Let's assume the third subject is worth the same as the other two subjects in terms of the overall average. Let's call the score the student needs to get in the third ... |
Question:
The time between required maintenance checks on an industrial vehicle is some days. By using a certain protective additive, the time increases to 60 days. The time between maintenance checks is increased by 33.33333333333333% by using the additive. What is the initial time between maintenance checks before us... |
Question:
a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1988 on her 32 nd birthday first be eligible to retire under this provision ?
Ans... |
Question:
A student got 74% in math and 84% in history. The student needs to get 67% in the third subject to achieve a certain overall average. What is the desired overall average percentage?
Answer:
Let's denote the desired overall average percentage as "A" and the percentage in the third subject as "P3". We know tha... |
Question:
In a cricket team of 11 members, the captain is 24 years old and the wicket keeper is older by a certain number of years. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team, which is 21. How many years older is the wicket kee... |
Question:
The captain of a cricket team of 11 members is 24 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Answer:
Let's denote the average ag... |
Question:
the captain of a cricket team of 11 members is 24 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ?
Answer:
Let's denote the averag... |
Question:
There is a cricket team with some members. The captain is 24 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team, which is 21. How many members are in the cricket team?
Answer... |
Question:
In a cricket team of 11 members, the captain is a certain age and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team, which is 21. How old is the captain?
Answer:
Let's denote the captain'... |
Question:
according to the formula f = 9 / 5 ( c ) + 32 , if the temperature in degrees farenheit ( f ) increases by 28 , by how much does the temperature in degrees celsius ( c ) increase ?
Answer:
To find out how much the temperature in degrees Celsius (C) increases when the temperature in degrees Fahrenheit (F) inc... |
Question:
According to the formula f = some ratio (c) + 32, if the temperature in degrees Fahrenheit (f) increases by 28, the temperature in degrees Celsius (c) increases by 15.555555555555555. What is the ratio in the formula?
Answer:
The formula to convert temperatures from Celsius to Fahrenheit is given by:
f = c ... |
Question:
According to the formula f = 9 / 5 (c) + 32, if the temperature in degrees Fahrenheit (f) increases by 28, by how much does the temperature in degrees Celsius (c) increase?
Answer:
To find out how much the temperature in degrees Celsius (c) increases when the temperature in degrees Fahrenheit (f) increases b... |
Question:
According to the formula f = 9 / 5 (c) + 32, if the temperature in degrees Fahrenheit (f) increases by some value, the temperature in degrees Celsius (c) increases by 15.555555555555555. By how much does the temperature in degrees Fahrenheit increase?
Answer:
To find out by how much the temperature in degree... |
Question:
Cara took out a charge account at the general store and agreed to pay a certain percentage of simple annual interest. She charges $54 on her account in January. A year later, she owes $56.7, assuming she does not make any additional charges or payments. What is the interest rate?
Answer:
To find the interest... |
Question:
cara took out a charge account at the general store and agreed to pay 5 % simple annual interest . if she charges $ 54 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ?
Answer:
To calculate the amount Cara will owe a year later, w... |
Question:
Cara took out a charge account at the general store and agreed to pay 5% simple annual interest. She charges $54 on her account in January. How much will she owe a year later, assuming she does not make any additional charges or payments?
Answer:
To calculate the amount Cara will owe a year later, we need to... |
Question:
At a nursery school, one-tenth of the students are 4 years old or older. Some students have not yet reached their third birthday, and a total of 50 students are not between 3 years old and 4 years old. There are 300 children in the nursery school. How many students have not yet reached their third birthday?
... |
Question:
A certain fraction of the students at a nursery school are 4 years old or older. If 20 students have not yet reached their third birthday, and a total of 50 students are not between 3 years old and 4 years old, there are 300 children in the nursery school. What is the fraction of students who are 4 years old ... |
Question:
Cara took out a charge account at the general store and agreed to pay 5% simple annual interest. She charges a certain amount on her account in January. A year later, she owes $56.7, assuming she does not make any additional charges or payments. How much did she charge on her account in January?
Answer:
Let'... |
Question:
one - tenth of the students at a nursery school are 4 years old or older . if 20 students have not yet reached their third birthday , and a total of 50 students are not between 3 years old and 4 years old , how many children are in the nursery school ?
Answer:
Let's denote the total number of students in the... |
Question:
If p / q = 3 / 4, then what is the value of 3 p + 4 q?
Answer:
Given that p / q = 3 / 4, we can cross-multiply to find a relationship between p and q:
p * 4 = q * 3
Now, we need to find the value of 3p + 4q. We can substitute q from the first equation into the second:
3p + 4q = 3p + 4 * (4/3)p
= ... |
Question:
At a nursery school, one-tenth of the students are 4 years old or older. If 20 students have not yet reached their third birthday, and a certain number of students are not between 3 years old and 4 years old, there are 300 children in the nursery school. How many students are not between 3 years old and 4 yea... |
Question:
One-tenth of the students at a nursery school are 4 years old or older. If 20 students have not yet reached their third birthday, and a total of 50 students are not between 3 years old and 4 years old, how many children are in the nursery school?
Answer:
Let's denote the total number of students in the nurse... |
Question:
if p / q = 3 / 4 then 3 p + 4 q = ?
Answer:
Given that \( \frac{p}{q} = \frac{3}{4} \), we can cross-multiply to find a relationship between \( p \) and \( q \):
\( 4p = 3q \)
Now, we want to find the value of \( 3p + 4q \). To do this, we can use the relationship we just found:
\( 3p + 4q = 3p + 3q + q \... |
Question:
If p / q = 3 / 4, then 3 p plus some multiple of q equals 6.25. What is the multiple of q in the equation?
Answer:
Given that p / q = 3 / 4, we can express p in terms of q as follows:
p = (3/4) * q
Now, we are given that 3p + mq = 6.25, where m is the multiple of q we want to find. Let's substitute the exp... |
Question:
2 men and 3 women are lined up in a row . what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )
Answer:
To find the number of cases where men and women stand with each other in turn, we need to arrange them in ... |
Question:
2 men and 3 women are lined up in a row. What is the number of cases where they stand with each other in turn (the number of cases in which men (or women) do not stand next to each other)?
Answer:
To solve this problem, we need to find the number of arrangements where no two men or no two women stand next to... |
Question:
( 0.82 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.82 ) ( power 2 ) + 0.082 + ( 0.1 ) ( power 2 ) is :
Answer:
To solve this expression, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). T... |
Question:
The result of the expression ( some number ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( some number ) ( power 2 ) + 0.082 + ( 0.1 ) ( power 2 ) is 0.72. What is the number?
Answer:
Let's denote the "some number" as \( x \). The expression given is:
\[ x^3 - \left(\frac{0.1^3}{x^2}\right) + 0.082 + 0.1^2 = 0.72 \... |
Question:
for every x , the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x . what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.4 ] - 6.6 ?
Answer:
Let's break down the expression step by step:
1. [6.5] is the greatest integer less than or equal to 6.5, which is 6.
2. [2/3] ... |
Question:
If p / q equals some ratio, and 3 p + 4 q equals 6.25, what is the ratio of p to q?
Answer:
Let's denote the ratio of p to q as r. So we have:
p / q = r
We also have the equation:
3p + 4q = 6.25
We want to find the value of r. To do this, we can express p in terms of q using the ratio r:
p = r * q
Now ... |
Question:
The result of the expression ( 0.82 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.82 ) ( power 2 ) + some number + ( 0.1 ) ( power 2 ) is 0.72. What is the number?
Answer:
To find the unknown number, let's first simplify the given expression step by step.
Given expression:
(0.82)^3 - (0.1)^3 / (0.82)^2 + some n... |
Question:
What is the result of the expression ( 0.82 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.82 ) ( power 2 ) + 0.082 + ( 0.1 ) ( power 2 )?
Answer:
To solve the expression \( (0.82)^3 - (0.1)^3 \) / \( (0.82)^2 + 0.082 + (0.1)^2 \), we need to follow the order of operations, which is parentheses, exponents, multip... |
Question:
For every x, the action [x] is defined: [x] is the greatest integer less than or equal to x. What is the value of [6.5] x [2 / 3] + [2] x 7.2 + [8.4] - some number if the result is 15.8?
Answer:
Let's calculate each term step by step:
1. [6.5] is the greatest integer less than or equal to 6.5, which is 6.
2... |
Question:
For every x, the action [x] is defined: [x] is the greatest integer less than or equal to x. What is the value of [6.5] x [2 / 3] + [2] x some number + [8.4] - 6.6 if the result is 15.8?
Answer:
Let's calculate the value of each term with the given action [x], which represents the greatest integer less than ... |
Question:
For every x, the action [x] is defined: [x] is the greatest integer less than or equal to x. What is the value of [6.5] x [2 / 3] + [2] x 7.2 + [8.4] - 6.6?
Answer:
Let's break down the expression step by step using the definition of the action [x], which is the greatest integer less than or equal to x, also... |
Question:
For every x, the action [x] is defined: [x] is the greatest integer less than or equal to x. What is the value of [6.5] x [2 / 3] + [some number] x 7.2 + [8.4] - 6.6 if the result is 15.8?
Answer:
Let's break down the expression step by step using the definition of the action [x], which is the greatest integ... |
Question:
For every x, the action [x] is defined: [x] is the greatest integer less than or equal to x. What is the value of [6.5] x [some fraction] + [2] x 7.2 + [8.4] - 6.6 if the result is 15.8?
Answer:
Let's break down the expression step by step using the definition of the action [x], which is the greatest integer... |
Question:
At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 25.6 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?
Answer:
Let's denote the fraction by ... |
Question:
For every x, the action [x] is defined: [x] is the greatest integer less than or equal to x. What is the value of [6.5] x [2 / 3] + [2] x 7.2 + [some number] - 6.6 if the result is 15.8?
Answer:
Let's calculate the value of each term in the expression step by step.
1. [6.5] is the greatest integer less than... |
Question:
For every x, the action [x] is defined: [x] is the greatest integer less than or equal to x. What is the value of [some number] x [2 / 3] + [2] x 7.2 + [8.4] - 6.6 if the result is 15.8?
Answer:
Let's break down the expression given and solve for the value of [some number]:
1. [x] is the greatest integer le... |
Question:
The mean of 50 observations was 36. It was found later that an observation was wrongly taken as 23. The corrected new mean is 36.5. What was the actual value of the observation that was wrongly recorded?
Answer:
The mean of the 50 observations was initially calculated as 36. This means the total sum of all o... |
Question:
At a certain time, there were some grams of bacteria. The bacteria increased to 16 grams at 4:00 pm, and 25.6 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 1:00 pm?
Answer:
Let's denote the init... |
Question:
The mean of 50 observations was 36. It was found later that an observation 46 was wrongly taken as 23. What is the corrected new mean?
Answer:
The incorrect mean was calculated with the wrong observation of 23 instead of the correct observation of 46. To find the corrected new mean, we need to adjust the tot... |
Question:
At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to 16 grams at 4:00 pm, and to some grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 7:00 pm?
Answer:
To solve this problem, we... |
Question:
At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to some grams at 4:00 pm, and 25.6 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?
Answer:
Let's denote the amount of... |
Question:
the mean of 50 observations was 36 . it was found later that an observation 46 was wrongly taken as 23 . the corrected new mean is
Answer:
To find the corrected mean, we need to first calculate the correct total sum of the observations by removing the incorrect observation and adding the correct one.
The in... |
Question:
at 1 : 00 pm , there were 10.0 grams of bacteria . the bacteria increased to x grams at 4 : 00 pm , and 25.6 grams at 7 : 00 pm . if the amount of bacteria present increased by the same fraction during each of the 3 - hour periods , how many grams of bacteria were present at 4 : 00 pm ?
Answer:
Let's denote ... |
Question:
At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to 16 grams at 4:00 pm, and 25.6 grams at 7:00 pm. If the amount of bacteria present increased by a certain pattern during each of the 3-hour periods, what is the relationship between the increase in bacteria from 1:00 pm to 4:00 pm and fro... |
Question:
The mean of some observations was 36. It was found later that an observation 46 was wrongly taken as 23. The corrected new mean is 36.5. How many observations were there initially?
Answer:
Let's denote the number of observations as \( n \).
The initial sum of all observations is \( n \times 36 \) because th... |
Question:
The mean of 50 observations was a certain value. It was found later that an observation 46 was wrongly taken as 23. The corrected new mean is 36.5. What was the initial mean of the observations?
Answer:
Let's denote the initial mean of the 50 observations as M.
The sum of the initial 50 observations is:
Sum... |
Question:
The mean of 50 observations was 36. It was found later that an observation 46 was wrongly taken as a certain value. The corrected new mean is 36.5. What was the incorrect value of the observation that was wrongly recorded?
Answer:
The mean of the 50 observations was initially calculated as 36. This means the... |
Question:
The average weight of some boys in a class is 48 kgs. The average weight of the class of 25 students is 45 kgs. The average weight of the 15 girls in the class is 40.5 kgs. How many boys are in the class?
Answer:
Let's denote the number of boys in the class as B.
We know that the total number of students in... |
Question:
The sum of two numbers is 84. One of the numbers is 36, and the other number is a certain amount more than 36. If the two numbers are 36 and 48, how much more is the second number than the first number?
Answer:
The second number is 48, and the first number is 36. To find out how much more the second number i... |
Question:
The sum of two numbers is 84, and one of them is 12 more than the other. If one of the numbers is 36, what is the other number?
Answer:
Let the other number be x. According to the problem, the sum of the two numbers is 84. So we can write the equation:
x + 36 = 84
Now, we solve for x:
x = 84 - 36
x = 48
... |
Question:
The sum of two numbers is 96, and one of them is 12 more than the other. If one of the numbers is 42, what is the other number?
Answer:
Let's call the other number x. According to the problem, we have:
x + 42 = 96 (since the sum of the two numbers is 96)
Now, we need to find the value of x:
x = 96 - 42
x ... |
Question:
The sum of two numbers is 96. One of the numbers is 42, and the other number is a certain amount more than 42. If the sum of the two numbers is 96, how much more is the other number than 42?
Answer:
Let's call the other number x. According to the problem, the sum of the two numbers is 96, and one of the numb... |
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