Myesha has a coin collection. She keeps 4 of the coins in her box, which is 5% of the collection. How many total coins are in her collection?
Multiply/scale up to solve.
If 4 coins represent 5% of the collection, then we can set up the following proportion:
4/0.05 = x/100
Where x is the total number of coins in the collection. To solve for x, we can cross-multiply:
0.05x = 400
x = 400/0.05
x = 8,000
Therefore, there are 8,000 coins in Myesha's collection.
4800 people attended a football game. If 10% of the people who attended were teenagers, how many teenagers attended the game?
Divide/scale down to solve for the missing percent.
To find out how many teenagers attended the game, we need to multiply the total number of attendees (4,800) by the percentage of teenagers who were there (10%).
10% can be expressed as a decimal by dividing by 100 or moving the decimal point two places to the left.
10% = 0.1
So, to find out how many teenagers attended:
0.1 x 4,800 = 480
Therefore, 480 teenagers attended the football game.
Bob's Gift Shop sold 800 cards for Mother's Day. One salesman, Montraie, sold 10% of the cards sold for Mother's Day. How many cards did Montraie sell?
Insert the values given in the problem then scale up or down to find the missing value.
To find out how many cards Montraie sold, we need to multiply the total number of cards sold (800) by the percentage of cards Montraie sold (10%).
10% can be expressed as a decimal by dividing by 100 or moving the decimal point two places to the left.
10% = 0.1
So, to find out how many cards Montraie sold:
0.1 x 800 = 80
Therefore, Montraie sold 80 cards for Mother's Day.
All students in Ridgewood Junior High School either got their lunch in the school cafeteria or brought it from home on Tuesday. 5% of students brought their lunch. 49 students brought their lunch. How many students in total are in Ridgewood Junior High School?
We can use a proportion to solve this problem.
Let x be the total number of students in Ridgewood Junior High School.
We know that 5% of students brought their lunch, which means that 95% of students got their lunch in the school cafeteria.
So we can set up the following proportion:
5% of x = 49
or
0.05x = 49
To solve for x, we can divide both sides of the equation by 0.05:
x = 49 ÷ 0.05
x = 980
Therefore, there are 980 students in Ridgewood Junior High School.
A group of friends were working on a student film that had a budget of $1400. They used 23% of their budget on equipment. How much money did they spend on equipment?
To find out how much money was spent on equipment, we need to multiply the total budget ($1400) by the percentage of the budget that was used on equipment (23%).
23% can be expressed as a decimal by dividing by 100 or moving the decimal point two places to the left.
23% = 0.23
So, to find out how much money was spent on equipment:
0.23 x $1400 = $322
Therefore, the group of friends spent $322 on equipment for their student film.
Kevin answered 62 questions correctly on his multiple choice history final and earned a grade of 31%. How many total questions were on the final exam?
We can begin to solve this problem by setting up a proportion.
Let x be the total number of questions on the multiple choice history final.
We know that Kevin answered 62 questions correctly, which means he answered 100% of those questions correctly.
We also know that he earned a grade of 31%, which means he got 31% of the questions correct.
So we can set up the proportion:
x / 100 = 62 / 31
To solve for x, we can cross-multiply:
31x = 6200
Then, divide both sides by 31 to solve for x:
x = 200
Therefore, there were 200 total questions on the multiple choice history final.
Ayden surveyed 900 of the students in his school about their favorite color. 324 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
To find the percentage of students who said their favorite color was red, we can set up the following proportion:
(red responses) / (total responses) = (red percentage) / 100%
We know that 324 students said their favorite color was red.
And we know that Ayden surveyed 900 students.
So we can plug those values into the proportion:
324 / 900 = (red percentage) / 100%
To solve for the percentage, we can cross-multiply:
900 x (red percentage) = 324 x 100%
Then, divide both sides by 900:
(red percentage) = (324 x 100%) / 900
(red percentage) = 36%
Therefore, 36% of the surveyed students said their favorite color was red.
Khadija answered 174 questions correctly on her multiple choice science final and earned a grade of 87%. How many total questions were on the final exam?
We can begin to solve this problem by setting up a proportion.
Let x be the total number of questions on the multiple choice science final.
We know that Khadija answered 174 questions correctly, which means she got 87% of the questions correct.
So we can set up the proportion:
(x questions) / 100 = (174 questions) / 87
To solve for x, we can cross-multiply:
87x = 17400
Then, divide both sides by 87 to solve for x:
x = 200
Therefore, there were 200 total questions on the multiple choice science final.
What is the result when the number 30 is decreased by 10%?
To find the result when the number 30 is decreased by 10%, we need to multiply 30 by 0.10 to find the amount of the decrease:
30 x 0.10 = 3
So the amount of the decrease is 3.
To find the result, we need to subtract the amount of the decrease from the original number:
30 - 3 = 27
Therefore, the result when the number 30 is decreased by 10% is 27.
What is the result when the number 96 is decreased by 73%?
To find the result when the number 96 is decreased by 73%, we need to multiply 96 by 0.73 to find the amount of the decrease:
96 x 0.73 = 70.08
So the amount of the decrease is 70.08.
To find the result, we need to subtract the amount of the decrease from the original number:
96 - 70.08 = 25.92
Therefore, the result when the number 96 is decreased by 73% is 25.92.
Caleb was out at a restaurant for dinner when the bill came. His dinner came to $21. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollars and cents?
To find out how much the meal plus the tip is, we first need to calculate the amount of the tip.
We know that Caleb wanted to leave a 31% tip on a $21 meal.
31% can be expressed as a decimal by dividing by 100 or moving the decimal point two places to the left.
31% = 0.31
So, to find out the amount of the tip:
0.31 x $21 = $6.51
Therefore, the amount of the tip is $6.51.
To find out the total cost of the meal plus the tip:
$21 + $6.51 = $27.51
Therefore, the meal plus the tip, before tax, was $27.51.
Feng went shopping for a new pair of pants because of a sale. The store was offering a 40% discount. If the price on the tag was $33, what would be the price after the discount but before tax, to the nearest dollar and cent?
To find the price after the 40% discount, we need to multiply the original price ($33) by 0.60 because the discount is equivalent to paying 60% of the original price:
$33 x 0.60 = $19.80
Therefore, the price after the 40% discount but before tax would be $19.80. To express this answer to the nearest dollar and cent, we don't need to make any changes because the price has already been expressed in dollars and cents.
Autumn went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $22, but the price with tax came to $23.98. Find the percent sales tax.
To find the percent sales tax, we need to find out how much of the total price is due to tax, and then express that amount as a percentage of the original price.
We know that the price of the sneakers before tax was $22.
We also know that the total price, including tax, was $23.98.
To find the amount due to tax, we can subtract the price before tax from the total price:
$23.98 - $22 = $1.98
So $1.98 of the total price is due to tax.
To find the percent tax, we need to express $1.98 as a percentage of $22:
($1.98 / $22) x 100% = 9%
Therefore, the percent sales tax is 9%.
Claire has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $27, before discount and tax. After the discount, and before tax, the price is $25.38. Find the percent discount.
To find the percent discount, we need to determine how much money Claire saved with her discount, and then express that amount as a percentage of the original price.
We know that the item has an original price of $27.
After the discount, the price is $25.38.
To find the amount saved, we can subtract the discounted price from the original price:
$27 - $25.38 = $1.62
So, Claire saved $1.62 with her discount.
To find the percent discount, we need to express the amount saved as a percentage of the original price:
($1.62 / $27) x 100% = 6%
Therefore, Claire received a 6% discount on the item.
Nasim wraps a gift box in the shape of a triangular prism. The figure below shows a net for the gift box.
14.42 in
14.42 in
8 in
12 in
14 in
8 in
How much wrapping paper did he use, in square inches?
We need to find the surface area of the triangular prism, so we can determine how much wrapping paper Nasim needs.
To do this, we need to find the area of each face of the triangular prism and then add them together:
- There are two identical triangular faces on either end of the prism. To find the area of one of these triangles, we can use the formula:
Area = (1/2) x base x height
The base of each triangle is 12 inches and the height is 8 inches:
Area = (1/2) x 12 in. x 8 in. = 48 in²
Since there are two of these triangles, the total area is:
2 x 48 in² = 96 in²
- There are three rectangular faces on a triangular prism. To find the area of one of these rectangles, we can use the formula:
Area = length x width
There are two rectangles with dimensions 14.42 inches by 8 inches, and one rectangle with dimensions 14.42 inches by 12 inches:
Area of rectangle 1 = 14.42 in. x 8 in. = 115.36 in²
Area of rectangle 2 = 14.42 in. x 8 in. = 115.36 in²
Area of rectangle 3 = 14.42 in. x 12 in. = 173.04 in²
The total area of the three rectangles is:
115.36 in² + 115.36 in² + 173.04 in² = 403.76 in²
- To find the total surface area of the triangular prism, we can add the areas of all five faces:
96 in² + 403.76 in² = 499.76 in²
Therefore, Nasim used 499.76 square inches of wrapping paper for the triangular prism gift box.
A water tank is built in the form of a right rectangular prism, with dimensions that measure 13.4 ft by 8.7 ft by 7.5 ft. How many cubic feet of water would it hold when it is full? Round your answer to the nearest tenth if necessary.
To find the volume of the water tank, we need to multiply the three dimensions together:
Volume = length x width x height
Volume = 13.4 ft x 8.7 ft x 7.5 ft
Volume = 1031.55 cubic feet
Therefore, the tank can hold 1031.55 cubic feet of water when it is full. Rounding this to the nearest tenth would give us 1031.6 cubic feet.
1031.55 to the nearest tenth
Rounding 1031.55 to the nearest tenth would give us 1031.6.
Janelys has a bag of candy full of 15 strawberry chews and 5 cherry chews that she eats one at a time. Which word or phrase describes the probability that she reaches in without looking and pulls out a cherry chew?
The phrase that describes the probability that Janelys reaches in without looking and pulls out a cherry chew is "the probability of selecting a cherry chew."
Janelys has a bag of candy full of 15 strawberry chews and 5 cherry chews that she eats one at a time. Which word or phrase describes the probability that she reaches in without looking and pulls out a cherry chew?
1. likely
2. unlikely
3. certain
4. impossible
The word that describes the probability that Janelys reaches in without looking and pulls out a cherry chew is "unlikely" because there are more strawberry chews than cherry chews, so there is a higher chance of pulling out a strawberry chew.
A spinner for a board-game is divided into four equal-sized sections colored red, green, yellow, and blue. If you land on a line between the colors, you keep spinning until you land on a color. Chee's turn is next. Which word or phrase describes the probability that she will land on red or green?
1. unlikely
2. an equal chance or 50-50
3. impossible
4. likely
The phrase that describes the probability that Chee will land on red or green is "likely" because there are two out of four sections that are red or green, so Chee has a higher chance of landing on one of those colors than landing on yellow or blue.
Damian has a bag that contains pineapple chews, lemon chews, and watermelon chews. He performs an experiment. Damian randomly removes a chew from the bag, records the result, and returns the chew to the bag. Damian performs the experiment 68 times. The results are shown below:
A pineapple chew was selected 39 times.
A lemon chew was selected 24 times.
A watermelon chew was selected 5 times.
Based on these results, express the probability that the next chew Damian removes from the bag will be lemon chew as a decimal to the nearest hundredth.
To find the probability that the next chew Damian removes from the bag will be a lemon chew, we need to divide the number of times a lemon chew was selected (24 times) by the total number of experiments performed (68 times):
24/68 = 0.35 (rounded to the nearest hundredth)
Therefore, the probability that the next chew Damian removes from the bag will be a lemon chew is approximately 0.35.
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Juan sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below:
31 visitors purchased no costume.
26 visitors purchased exactly one costume.
2 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.
To find the probability that the next person will purchase exactly one costume, we need to divide the number of visitors who purchased exactly one costume (26) by the total number of visitors to the website (31 + 26 + 2 = 59):
26/59 = 0.44 (rounded to the nearest hundredth)
Therefore, the probability that the next person who visits the website will purchase exactly one costume is approximately 0.44.
Fatoumata has a bag that contains orange chews, apple chews, and watermelon chews. She performs an experiment. Fatoumata randomly removes a chew from the bag, records the result, and returns the chew to the bag. Fatoumata performs the experiment 29 times. The results are shown below:
A orange chew was selected 6 times.
A apple chew was selected 10 times.
A watermelon chew was selected 13 times.
Based on these results, express the probability that the next chew Fatoumata removes from the bag will be orange or apple as a percent to the nearest whole number.
Fatoumata has a bag that contains orange chews, apple chews, and watermelon chews. She performs an experiment. Fatoumata randomly removes a chew from the bag, records the result, and returns the chew to the bag. Fatoumata performs the experiment 29 times. The results are shown below:
A orange chew was selected 6 times.
A apple chew was selected 10 times.
A watermelon chew was selected 13 times.
Based on these results, express the probability that the next chew Fatoumata removes from the bag will be orange or apple as a percent to the nearest whole number.
Fatoumata has a bag that contains orange chews, apple chews, and watermelon chews. She performs an experiment. Fatoumata randomly removes a chew from the bag, records the result, and returns the chew to the bag. Fatoumata performs the experiment 29 times. The results are shown below:
A orange chew was selected 6 times.
A apple chew was selected 10 times.
A watermelon chew was selected 13 times.
Based on these results, express the probability that the next chew Fatoumata removes from the bag will be orange or apple as a percent to the nearest whole number.