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What is the average speed in miles per hour of a car that travels 150 miles in 2.5 hours?
Answer: To find the average speed, we need to divide the total distance traveled by the total time taken. In this case, the car traveled 150 miles in 2.5 hours. So, the average speed is 150 miles / 2.5 hours = 60 miles per hour.... |
500 students are enrolled in exactly 2 out of 3 classes: chemistry, biology, and physics. There are 250 students enrolled in chemistry, 260 students enrolled in biology, and 180 students enrolled in physics. How many students are enrolled in both chemistry and biology?
Answer: Let's start by setting up the variables ... |
A square pizza with side length 16 inches is cut into 2 pieces. A corner piece is cut such that the cut runs from the midpoint of the side to the midpoint of an adjacent side. The non-corner piece is discarded. What is the area of the cut piece?
Answer: The area of the square pizza is 16*16=256 square inches.
The cut... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$$0.60. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is pi*(3/2)^2*4 = 9*pi cubic inches
The volume of the second jar is pi*(6/2)^2*6 = 54*pi cu... |
A square pyramid has a base edge of 32 inches and an altitude of 1 foot. On each triangular face, the slant height is 20 inches. What is the total number of square inches of paint necessary to cover the lateral faces of the pyramid?
Answer: The base of the pyramid is a square with side length 32 inches.
The area of t... |
The number of points scored by Robert's basketball team is shown in the table below. What is the mean (average) number of points scored? \begin{tabular}{|c|c|c|c|c|c|}
\hline
Game 1 & Game 2 & Game 3 & Game 4 & Game 5 & Game 6\\
\hline
12 & 14 & 12 & 22 & 18 & 14\\
\hline
\end{tabular}
Answer: To find the mean number ... |
A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $\$0.60$. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?
Answer: The volume of the first jar is $\pi (3/2)^2 \cdot 4 = 9\pi$ cubic inches.
The volume of the second jar is $\pi (6/2)^2 ... |
What is the area of a triangle with a base of 4 units and a height of 3 units?
Answer: The area of a triangle is 1/2 * base * height. So, the area of this triangle is 1/2 * 4 * 3 = 1/2 * 12 = 6 square units.
#### 6
Question: What is the square root of 16?
Answer: The square root of 16 is 4 because 4 * 4 = 16.
#### 4... |
A potted plant is watered every 3 days and fed every 10 days. How many times will it be watered and fed in 30 days?
Answer: In 30 days, the plant will be watered 30/3 = <<30/3=10>>10 times
In 30 days, the plant will be fed 30/10 = <<30/10=3>>3 times
#### 10 3
Question: A lemonade recipe calls for 3 cups of lemon juic... |
Barb and John Reed want to know how much they must deposit in a retirement savings account now to have payments of $1,750 every six months for 15 years. The retirement account is paying 8% annual interest, compounded every six months. How much do they need to deposit now?
Answer: The first step is to find the interes... |
The area of a square is 36. What is the perimeter of the square?
Answer: The square root of 36 is 6, which is the length of each side. The perimeter is 6*4=<<6*4=24>>24.
#### 24
Question: When Bob was 2 years old, his sister was half his age. Now, Bob is 10. How old is his sister?
Answer: When Bob was 2, his sis... |
A box of candy cost $30 and there are 20 pieces in the box. How much does each piece cost?
Answer: To find the cost per piece, divide the total cost by the number of pieces: $30 / 20 = $1.50
#### $1.50
Question: Tim's backpack weighed 'x' pounds. On the first day of school, he added three items. The first item weighe... |
A malt shop charges $4 for chocolate shake plus $2 for topping. How much will a chocolate shake with 4 toppings cost?
Answer: Each topping costs $2, so 4 toppings cost $2*4 = <<2*4=8>>8.
The total cost of the chocolate shake with 4 toppings is $4 + $8 = <<4+8=12>>12.
#### 12
Question: A pizza shop sells an 18" diamet... |
6/13 of the flowers in a garden are roses. Of these roses, 2/3 are yellow and the rest are red. What fraction of the flowers are red roses?
Answer: 6/13 of the flowers are roses.
2/3 of the roses are yellow, so 1/3 of the roses are red.
Therefore, the fraction of the flowers that are red roses is 1/3 * 6/13 = <<1/3... |
There are 130 people split into 6 teams and one referee. The number of people on each team follows an arithmetic sequence with the first term as 11 and a common difference of 1. How many are on the largest team
Answer: The first term is 11, and the common difference is 1, so the sequence is 11, 12, 13, 14, 15, 16.
Th... |
When Bob's uncle died he left Bob $10,000. From that money, Bob spent 35% on a new car, 30% on a new laptop, kept 20% as savings and divided the rest evenly between a down payment on a house and his college fund. How much did Bob put into his college fund?
Answer: Bob spent 35% of $10,000 on a new car, which is 0.3... |
4 kids are playing basketball. Each kid will shoot 15 balls and those that make more than 10 balls will move on to the next round. 3 made 11 balls, 1 made 14 balls. How many are moving on to the next round?
Answer: 3 kids made 11 balls and 1 kid made 14 balls. All of them made more than 10 balls so all 4 kids are mov... |
In Kaydence's class, 70% of the students' pets are cats. 20% are dogs. There are 24 students in the class. How many pets are there in all?
Answer: 70% of 24 is 70/100 * 24 = 16.8
20% of 24 is 20/100 * 24 = 4.8
There are 16.8 + 4.8 = 21.6 pets in all.
#### 21.6
Question: Paul is shopping for school supplies at Walmart... |
On a(collinear) straight line, there are 2017 points. How many line segments can be formed by these 2017 points?
Answer: The number of line segments that can be formed by 2017 points on a line is 2017-1 = <<2017-1=2016>>2016.
#### 2016
Question: The length of a rectangle is increased by 20% and the width of the same ... |
What is the area of a circle with a circumference of 37.68 meters? Round to the nearest tenth.
Answer: The formula for circumference is C = 2*pi*r, so 37.68 = 2*pi*r, so r = 37.68/(2*pi) = 5.998741294017733
The formula for area is A = pi*r^2, so A = pi*5.998741294017733^2 = 113.09733552923253
#### 113.1
Question: A t... |
A triangle has side lengths of 3 inches, 4 inches, and 5 inches. The triangle is placed on a rectangular piece of paper so that no part of the triangle overhangs the paper. What is the area of the rectangle?
Answer: The triangle has a side length of 3, 4, and 5, so it is a right triangle.
The area of the triangle i... |
A farmer has 5 rows of apple trees in his orchard. Each row has 12 apple trees and under each tree there are 10 fish. How many fish are in the orchard?
Answer: Each row has 12 apple trees so 5 rows have 5*12 = <<5*12=60>>60 apple trees
Under each apple tree there are 10 fish so there are 60*10 = <<60*10=600>>600 fi... |
7/28 of the children in one class have glasses. What percent of the class does not have glasses? Round the percentage to 2 decimal places.
Answer: First, simplify 7/28 to 1/4.
1/4 as a percentage is 25%.
So, 25% of the children in the class have glasses.
Therefore, 100% - 25% = 75% of the class does not have glasses.... |
12+24+36+48+60+72+84+96=
Answer: The numbers in the problem are all divisible by 12. 12+24+36+48+60+72+84+96 = 12(1+2+3+4+5+6+7+8) = 12(36) = 432
#### 432
Question: 12x12=
Answer: 12x12 = 144
#### 144
Question: 12/24 =
Answer: 12/24 = 1/2
#### 1/2
Question: 12/12=
Answer: 12/12 = 1
#### 1
Question: 12-12=
Answer:... |
A 12 foot log is cut into 2 pieces so that one piece is 1/4 as long as the other piece. How long is the longer piece? Express your answer as a decimal to the nearest tenth.
Answer: Let the shorter piece be x feet long. Then the longer piece is 4x feet long. Since the total length of the log is 12 feet, we have x + 4x... |
If Lauren has 12 different rings and wants to wear 3 of them on her left hand, how many different ways could she choose and stack the rings?
Answer: The number of different ways she could choose and stack the rings is 12 choose 3 which is 12! / (12-3)! / 3! = 220.
#### 220
Question: 100 fish are caught, tagged, and t... |
A 12 foot by 12 foot dance floor is completely tiled with square tiles that are each 1 foot by 1 foot. Two opposite corner squares are removed. How many whole tiles are needed to cover the dance floor?
Answer: A 12 foot by 12 foot dance floor is 12*12 = <<12*12=144>>144 square feet
If two opposite corner squares are ... |
It is 2021 and Emma is a time traveler. She goes back 60 years, plants a tree, and comes forward 250 years. How much taller is the tree now?
Answer: Emma goes back in time 60 years, so the tree is planted in 1961.
Emma comes forward 250 years from 2021, so the tree is 2021 + 250 = 2271.
The tree is 310 years older,... |
The number of points scored by Robert's basketball team is shown in the graph. What is the mean (average) number of points scored?
Answer: The total number of points scored is 1+2+4+8+13 = <<1+2+4+8+13=28>>28 points.
The number of games played is 5.
The average number of points scored is 28/5 = <<28/5=5.6>>5.6 points... |
A box of candy contains 50 candy coated chocolates in five different colors. What is the probability that you randomly select a red or orange candy coated chocolate?
Answer: There are 50 candies total. 10 are red and 10 are orange.
So there are 10+10=<<10+10=20>>20 candies that are red or orange.
The probability of... |
If Abby can build a garden bed in 6 days, and Jimmy can build a garden bed in 8 days, how long will it take them to build a garden bed together?
Answer: Abby can build 1/6 of a garden bed in one day.
Jimmy can build 1/8 of a garden bed in one day.
Together, they can build 1/6 + 1/8 = 7/24 of a garden bed in one day.
... |
Bryan has 3 shelves full of books. Each shelf has 7 books on it. Bryan’s older brother brought 14 more books to add to the collection. How many books in all?
Answer: There are 3 shelves with 7 books each, so there are 3*7 = <<3*7=21>>21 books on the shelves.
Bryan's brother brought 14 more books, so there are 21+14 =... |
On Kaydence's street, there are a total of 6 houses along one side of the street numbered from 1 to 6. The sum of the house numbers on one side of the street is equal to the sum of the house numbers on the other side. How many possible ways can this be so?
Answer: The total sum of all house numbers is 1+2+3+4+5+6 = 2... |
What is the area of a triangle with prime number side lengths whose perimeter is 12?
Answer: The triangle has side lengths that are prime numbers and a perimeter of 12. The only set of prime numbers that add up to 12 is 2, 3, and 7. However, 2+3 = 5, which is less than 7, so these side lengths cannot form a triangle.... |
On a rainy Monday, 73 students took both the midterm and the final exam. All of these students passed the midterm exam, but only 24 students passed the final exam. What is the difference between the number of students who passed the midterm exam and the number who passed the final exam?
Answer: 73 students passed the... |
A pizza shop sells an 8 slice pizza. On Monday they sold 2/5 of the pizza. On Tuesday they sold 3/10. How much pizza was sold in total?
Answer: On Monday they sold 2/5 * 8 = <<2/5*8=16/5=3.2>>3.2 slices.
On Tuesday they sold 3/10 * 8 = <<3/10*8=24/10=2.4>>2.4 slices.
In total, they sold 3.2 + 2.4 = <<3.2+2.4=5.6>>5.6... |
The number of visitors to a website in the first week is 2^5. The number of visitors during the second week is 3^4. What is the total number of visitors to the website during the first 2 weeks?
Answer: The number of visitors during the first week is 2^5 = <<2^5=32>>32
The number of visitors during the second week is ... |
88% of the students in Rachel's class got 75% of the questions on their history midterms correct. If 96% of the class got at least 15 questions correct, how many questions were on the exam?
Answer: Let the number of questions on the exam be $x$. Then, $0.88 \times 0.75 \times x = 0.96 \times 15$. Solving for $x$ give... |
A malt shop has 5 sizes of drinks; a small costs $2, a medium costs $3, a large costs $4, a jumbo costs $5 and a gargantua costs $6. They also have 8 flavors of ice cream available. How many different combinations can be made with the given sizes and flavors?
Answer: There are 5 different sizes of drinks available ... |
A company building a new warehouse loaned $75,000 to an employee, who will pay back the loan in monthly payments of $550.12. How many months until the loan is paid off?
Answer: To find out how many months it will take to pay off the loan, we need to divide the total loan amount by the monthly payment.
The total loa... |
What is the area of a square with a side length of 15?
Answer: The area of a square is side length squared so 15*15 = 15^2 = <<15*15=225>>225
#### 225
Question: What is the square root of 100?
Answer: The square root of 100 is 10 because 10*10 = 100
#### 10
Question: What is the product of 15 and 10?
Answer: 15*10 ... |
The number 5184 is the product of two consecutive positive integers. What is the larger of the two integers?
Answer: First, let's find the square root of 5184: sqrt(5184) = <<sqrt(5184)=72>>72
Since the two consecutive integers are close to the square root, we can assume they are 71 and 73.
However, 71*73 = 5183, wh... |
Two trains are heading towards each other on parallel tracks. One is traveling 72 kph, the other is traveling 48 kph. Initially they are 9 kilometers apart. How far apart will they be 1 minute prior to collision?
Answer: The total speed of the trains is 72+48 = <<72+48=120>>120 kph.
In one minute, they will travel... |
A 1500 foot tall building casts a 1 minute shadow. If a smaller building nearby casts a shadow of 20 seconds at the same time, how tall is it?
Answer: If a 1500 foot tall building casts a 1 minute shadow, then the ratio of the height of the building to the length of the shadow is 1500 feet / 1 minute = 1500 feet / 60... |
A malt shop charges $4 for chocolate shake plus $2 for each topping. How much is a chocolate shake with 3 toppings?
Answer: A malt shop charges $4 for chocolate shake plus $2 for each topping. How much is a chocolate shake with 3 toppings?
The total cost is $4 + $2 * 3 = $4 + $6 = $10.
#### 10
Question: A pizza shop ... |
A malt shop had 3 times as many milkshakes as sundaes. They had 152 of both items total. How many sundaes did they have?
Answer: Let S be the number of sundaes. Then the number of milkshakes is 3S. The total number of items is S + 3S = 4S. We know that 4S = 152, so S = 152 / 4 = <<152/4=38>>38. Therefore, the malt sh... |
A family of 4 people, each of different heights, are ordering vanilla waffle cones with 3 scoops of ice cream. Each person wants a different flavor of ice cream in the top scoop. How many waffle cones will be needed to accommodate the family's preferences?
Answer: Each person wants a different flavor of ice cream in ... |
A square is cut in half to form two identical rectangles. The perimeter of each rectangle is 24 inches. What was the area of the original square?
Answer: The perimeter of each rectangle is 24 inches, so the length of each rectangle is 24 / 2 = 12 inches.
The width of each rectangle is half the length of the square, s... |
A scientist collects 0.08 grams of a substance. If the molecular weight of the substance is 20 grams, how many moles of the substance will the scientist have?
Answer: The scientist will have 0.08 / 20 = 0.004 moles of the substance.
#### 0.004
Question: 24 students are preparing to take the GED. 3/4 of the students a... |
When Bob was the same age as his father, Bob's father was 33. When his father will be double Bob's age, their combined ages will be 99. How old is Bob's father?
Answer: Let x be the number of years ago that Bob was the same age as his father. Then Bob's age at that time was 33-x. Now, let y be the number of years fro... |
9/27 of Donnie's e-books are fiction. 60% of Donnie's non-fiction e-books are workbooks. If 4/5 of the fiction e-books are hardcover books and Donnie has 64 workbooks, how many e-books does he own?
Answer: To solve this problem, we need to follow these steps:
1. Let's assume the total number of e-books Donnie owns i... |
What is the area of the shape below? All angles are right angles.
Answer: The shape is a rectangle with a length of 6 units and a width of 4 units.
The area of a rectangle is calculated by multiplying the length by the width.
So, the area of the shape is 6 * 4 = 24 square units.
#### 24
Question: What is the area of ... |
A reallocating problem. He needs 180 feet of fencing to put around the perimeter of the garden. The length of the garden is 20% longer than the width. How many feet does the width of the garden need to be to fit the 180 feet of fencing?
Answer: Let's denote the width of the garden as w. Then the length is 1.2w.
The p... |
A 12 foot by 12 foot dance floor is completely tiled with square tiles that are each 1 foot by 1 foot. Two of the tiles are eaten by a mouse. If the tiles are arranged in a grid pattern, what is the probability that the two tiles eaten were on the diagonal from the top left corner to the bottom right corner of the dan... |
A pizza shop sells small pizzas for $6 each, medium pizzas for $9 each, and large pizzas for $12 each. If you buy 3 small pizzas and 2 medium pizzas, how much will you spend?
Answer: The cost of the small pizzas is 3*6 = <<3*6=18>>18 dollars.
The cost of the medium pizzas is 2*9 = <<2*9=18>>18 dollars.
The total cos... |
888 is 33.333333333333336% of what number?
Answer: Let x be the number. Then 888 = 33.333333333333336% * x
To find x, divide 888 by 33.333333333333336%: x = 888 / 33.333333333333336%
x = 888 / (33.333333333333336/100)
x = 888 / 0.33333333333333336
x = 2664
#### 2664
Question: What is the absolute value of the point (... |
Frank is shopping for a new TV. His old TV has a diagonal measure of 32 inches. If he buys a 50 inch TV, what is the percent increase in the diagonal size of his TV?
Answer: He buys a TV that is 50 inches diagonal, which is 50-32=18 inches bigger than his old TV. The percent increase is 18/32 = 0.5625, or 56.25%
####... |
A 12 foot log is cut into 2 pieces so that one piece is 1/4 as long as the other piece. How long is the longer piece?
Answer: Let x be the length of the longer piece.
Then the shorter piece is (1/4)x.
The total length of the log is 12 feet, so x + (1/4)x = 12.
Combining like terms, (5/4)x = 12.
Solving for x, x = 12 ... |
A malt shop charges $4 for chocolate shake minus $0.5 for each additional topping. How many additional toppings can you get on a chocolate shake if you have $6.5?
Answer: First subtract the cost of the chocolate shake from the amount of money you have: $6.5 - $4 = $2.5
Then divide the remaining amount of money by the... |
What is the area of the triangle with vertices at (0,0), (0,3), and (4,0)?
Answer: The base of the triangle is 4 units and the height is 3 units. The area of a triangle is (1/2)*base*height, so the area is (1/2)*4*3 = 6 square units.
#### 6
Question: What is the sum of the first 10 odd positive integers?
Answer: The... |
The number of points scored by a basketball team is 100. The team's 2-point and 3-point shots accounted for 75% of the score, while 17 field goals were missed. How many 2-point and 3-point shots were made?
Answer: The team scored 100 points in total. 75% of the score came from 2-point and 3-point shots, which is 75... |
What is the area of a triangle with a base of 10 and a height of 30?
Answer: The area of a triangle is 1/2 the base times the height. 1/2*10*30 = <<1/2*10*30=150>>150 square units.
#### 150
Question: A 200-page book uses how many individual digits for the page numbers?
Answer: Pages 1-9 use 1 digit each, so that's 9... |
A malt shop charges $2.50 for a burger and $1 for a pack of fries. How much would it cost to get 7 burgers with a pack of fries?
Answer: The cost of 7 burgers is 7*$2.50 = <<7*2.50=17.5>>$17.50
The cost of a pack of fries is $1
The total cost is $17.50+$1 = <<17.50+1=18.5>>$18.50
#### 18.5
Question: 20+20+20+20+20+20... |
What is the area of the shape below? [asy] import olympiad; unitsize(4mm); for(int i=0; i<10; ++i) draw((i,0)--(i,8)); for(int j=0; j<9; ++j) draw((0,j)--(9,j)); draw((8.6,3.2)--(9,3.2)--(9,5.3)--(8.3,8)--(4.8,8)--(2.4,5.8)--(1,5)--(1,1.3)--(3.5,0)--(6.6,0)--(9,1.8)--cycle,linewidth(1)); [/asy]
Answer: The shape can ... |
A company's employees work 5 days and rest 2 days every 7 days. Every year the employee's birthday is on a working day, they receive a bonus. How many times does an employee working for 8 years get the bonus?
Answer: For every 7 days, the employee works 5 days and rests 2 days.
In a year, there are 365 days.
365 / 7 ... |
A pomegranate tree started growing from a height of 5 feet. In the first year, it grows 1/2 of its height. In the second year, it grows 1/3 of its height. In the third year, it grows 1/4 of its height. In the fourth year, it grows 1/5 of its height. How tall is the tree at the end of the fourth year?
Answer: In the f... |
The hypotenuse of a 45-45-90 triangle is 10sqrt(2). What is the area of the triangle?
Answer: The hypotenuse of a 45-45-90 triangle is the side length times sqrt(2)
The side length is 10 because 10sqrt(2)/sqrt(2) = 10
The area of the triangle is 10*10/2 = <<10*10/2=50>>50
#### 50
Question: The number of calories in ... |
In a store there are 50 shirts, and all the shirts are on sale for $15, which is 1/3 of their regular price. How much will it cost to buy all 50 shirts?
Answer: Each shirt costs 15*3 = <<15*3=45>>45 dollars
50 shirts cost 50*45 = <<50*45=2250>>2250 dollars.
#### 2250
Question: There are 2000 cookies in a bakery. If i... |
1/2 of the dogs at a pet store have spots and 1/3 of the dogs at another pet store have spots. If there are 1000 dogs at the first pet store and 600 dogs at the second one, what is the total number of dogs without spots?
Answer: There are 500 dogs with spots at the first pet store because 1000 * 1/2 = <<1000*(1/2)=50... |
A 12 foot log is cut into 2 pieces so that one piece is 1/4 as long as the other piece. How long is the longer piece? Express your answer as a common fraction.
Answer: Let x be the length of the longer piece, then the other piece is 1/4x
The sum of the two pieces is 12 feet, so we have the equation: x + 1/4x = 12
Com... |
A box of candy has 48 pieces in it. If the candy is divided evenly among 6 kids, how many pieces of candy will each of the kids get?
Answer: There are 48 pieces of candy in the box.
If you divide the 48 pieces of candy evenly among 6 kids, each kid will get 48 / 6 = 8 pieces of candy.
#### 8
Question: A ball is thro... |
In a group of 120 people, 1/4 are men, 1/3 are women, and 1/6 are children. How many are men, women, and children?
Answer: To find the number of men, women, and children, we multiply the total number of people by the respective fractions.
For men: 120 * (1/4) = 30 men
For women: 120 * (1/3) = 40 women
For children: ... |
What is the area of the triangle with a base of 2.83333 feet and a height of 5.83333 feet?
Answer: The area of a triangle is given by the formula 1/2 * base * height. Plugging in the given values, we get:
1/2 * 2.83333 * 5.83333 = 8.25
#### 8.25
Question: The hypotenuse of an isosceles right triangle is 10. How long ... |
5 friends get on an elevator. There are 5 floors they can stop at. Assuming each friend is equally likely to get off on any floor and their choices are independent, what is the probability that exactly 2 friends get off on the same floor?
Answer: The total number of outcomes is 5^5 because there are 5 choices for eac... |
Yves and his siblings ordered a pizza and asked to have it cut into 20 slices. Yves ate 2 slices and each of his 3 siblings ate 1 slice each. If they did this every day for 5 days, how many slices would be left at the end of the 5 days?
Answer: Each day, Yves and his siblings eat 2+1+1+1 = <<2+1+1+1=5>>5 slices.
If... |
A reallocates 1/5 of the total money to charity and invests 35% of the remaining money in stocks. How much money does he have left?
Answer: Let's assume the total amount of money A has is $100 for simplicity.
He donates 1/5 of the total money to charity, which is 1/5 * 100 = $20.
The remaining money after the donation... |
If there are 500 lumberjacks, and they each cut 18 trees daily, how many more trees would need to be cut to make it 9,000?
Answer: There are 500 lumberjacks, and each cuts 18 trees a day. So the total number of trees cut is 500*18 = <<500*18=9000>>9000 trees.
Since they already cut 9000 trees, no more trees need to b... |
The city oftabq has 6000 registered voters. If there are 20 voting machines set up, how many voters can vote at each machine if the machines can handle the same number of voters?
Answer: To find out how many voters can vote at each machine, we need to divide the total number of registered voters by the number of voti... |
75% of the kids are going to a theme park for a field trip. The other 16 are going shopping. How many kids are going to the theme park?
Answer: If 75% are going to the theme park, then 100-75=25% are going shopping.
The number of kids going shopping is 16, which is 25% of the total.
To find the total number of kids, ... |
A circle has area 49pi. What is its circumference?
Answer: The area of a circle is given by the formula A = πr². We know that the area is 49π, so we can set up the equation 49π = πr². Dividing both sides by π, we get 49 = r². Taking the square root of both sides, we find that r = 7.
The circumference of a circle ... |
A jar of marbles contains 4 red, 6 green, 2 clear, and 8 black marbles. What is the probability of picking a green marble from the jar?
Answer: The probability of picking a green marble from the jar is 6/(4+6+2+8) = 6/20 = 3/10 = 0.30
#### 0.30
Question: In a group of 15, 60% are boys. How many boys are there?
Ans... |
The number of points scored by a basketball team in each of the first 6 games of the season are shown below: 83, 78, 91, 115, 95, 111. What is the mean absolute deviation of the number of points scored?
Answer: The mean is 83 + 78 + 91 + 115 + 95 + 111 / 6 = 93
The deviations are 93 - 83 = 10, 93 - 78 = 15, 93 - 91 =... |
20 people are coming to your party and you want to buy enough donuts so each person can have 3 donuts. Each dozen of donuts costs $4. How much will you spend on donuts?
Answer: First, we find the total number of donuts needed: 20 people * 3 donuts/person = 60 donuts
Then, we find the number of dozens needed: 60 donut... |
A square pizza with side length 12 inches is cut into 2 equal-sized rectangles. What is the perimeter of each rectangle?
Answer: The perimeter of a rectangle is 2 times the length plus 2 times the width. Each rectangle has a length of 12 inches and a width of 6 inches because the square was cut in half. So, the perim... |
A reallocable square area of unscaled grass borders a circular pond that is being scaled down by 1/4. If the pond originally had a circumference of 20 meters, how many meters will the pond's new circumference be after scaling?
Answer: If the pond's circumference is 20 meters, then its diameter is 20/pi = <<20/3.14=6.... |
500 toothpicks are used in a large construction project. 15% of them are used to make a model of the Eiffel Tower. 200 toothpicks are used to make a model of the Great Pyramid of Giza. 0 toothpicks are used to make a model of the Statue of Liberty. The rest are used to make models of other buildings. How many toothpic... |
When Bob's son was born, Bob was 35. Now he is three times as old as his son. How old is Bob?
Answer: If Bob was 35 when his son was born, and now Bob is three times as old as his son, then Bob is 35+15 = <<35+15=50>>50 years old
#### 50
Question: 500 - 239 =
Answer: 500 - 239 = 261
#### 261
Question: 35 x 14 =
Ans... |
The number of kids in a family is 2 more than the number of parents. There are a total of 3 kids. How many parents are in the family?
Answer: If the number of kids is 2 more than the number of parents, then there are 3-2 = <<3-2=1>>1 parent.
#### 1
Question: Jake and 3 friends each order a pizza cut into 8 slices. If... |
In a group of 90 students, 30% are girls. Each girl student has 2 siblings. Each boy student has 3 siblings. How many siblings are there?
Answer: If 30% of the 90 students are girls, then there are 0.3*90 = <<0.3*90=27>>27 girls.
The rest of the students are boys, so there are 90-27 = <<90-27=63>>63 boys.
Each girl h... |
If the ratio of boys to girls in a math class is 5:8 and the total number of students in the class is 207, how many girls are in the class?
Answer: The ratio of boys to girls in the class is 5:8, so the total number of students in the class is 5+8 = 13 parts.
The total number of students in the class is 207, so each ... |
1/2 of 800 is 1/4 of x. What is x?
Answer: 1/2 of 800 is 800/2 = <<800/2=400>>400.
1/4 of x is x/4 = <<x/4>>x/4
We know that 400 = x/4 so x = 400*4 = <<400*4=1600>>1600
#### 1600
Question: Two trains are heading towards each other on the same track. The first train is going 80 miles per hour and the second is going ... |
A realloc() call is made to allocate 500 bytes. The realloc() function was called again to allocate 1000 bytes. How many bytes were added to the allocation the second time?
Answer: The realloc() function was called twice. The first time, 500 bytes were allocated. The second time, 1000 bytes were allocated. The d... |
On Kaydence's street, there are a total of 6 houses along her street to the end. 4 of the houses have 2 people living in each, and the remaining houses each have 5 people living in them. How many people, on average, live on her street?
Answer: There are 4 houses with 2 people in each so that is 4 * 2 = <<4*2=8>>8 pe... |
A 12 foot by 12 foot dance floor is covered in 1 foot square tiles. A rectangular strip of tiles x feet wide is removed from the edge of the dance floor as shown. If the area of the remaining dance floor is 112 square feet, how wide, in feet, is the strip removed?
Answer: The area of the dance floor is 12 x 12 = <<12... |
A box of candy is 4/5 full. The full box contains 30 pieces. How many are in the box now?
Answer: There are 4/5*30 = <<4/5*30=24>>24 pieces of candy in the box now.
#### 24
Question: Tim is trying to read 2 books. The first book has 453 pages and the second has 352. It takes him 3 minutes to read each page. Rounded... |
If 3 feet equals 1 yard, how many yards are in 18 feet?
Answer: Since 3 feet equals 1 yard, you can find the number of yards in 18 feet by dividing 18 by 3: 18/3 = <<18/3=6>>6 yards
#### 6
Question: If there are 25 students in the classroom, and 2/5 of the students are boys, how many girls are in the classroom?
Answ... |
If it is a weekend, the cows produce 10% more milk. The milkman comes every day at 7 AM to take away the milk and brings 400 gallons of milk home. How many gallons of milk does Brian sell in a day on weekends?
Answer: Brian sells 400 gallons of milk on a weekend because the cows produce 10% more milk, but the milkman... |
A 12 foot by 16 foot floor is covered entirely by 2 foot by 3 foot rectangular tiles. What fraction of the tiles are NOT along the edges of the floor? Express your answer as a common fraction.
Answer: There are 12/2 * 16/3 = 32 tiles on the floor. There are 12/2 * 2 + 16/3 * 2 = 12 + 10.67 = 22.67 tiles along the ed... |
If Kaydence's brother is 3/5 the age of Kaydence, how old would he be if Kaydence was 15?
Answer: If Kaydence's brother is 3/5 the age of Kaydence, and Kaydence is 15, then Kaydence's brother is 15*(3/5) = 9 years old.
#### 9
Question: A company's sales increased by 10% from 2015 to 2016 and 25% from 2016 to 2017. By... |
17:15 hours is the same as what time?
Answer: 17:15 hours is 5:15 PM
#### 5:15 PM
Question: A circle has an area of 36 meters squared. What is the circumference of the circle in meters?
Answer: Area = 36 meters squared
Area = πr^2
36 = πr^2
r^2 = 36/π
r^2 = 11.46
r = √11.46
r = 3.38 meters
Circumference = 2πr
Circu... |
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