Question

A group of 9 people won 15 of a $4,500 prize. How much money did each person in the group win?(1 point)

$

Answer 1

[AI-generated answer — Bot GPT 3.5]

Each person in the group won $300.

Answer 2

wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the incorrect response. In order to determine how much money each person in the group won, we need to divide the total prize money by the number of people in the group.

Total prize money: $4,500
Number of people in the group: 9

To find out how much each person won, we can divide the total prize money by the number of people:

$4,500 / 9 = $500

Therefore, each person in the group won $500.

Answer 4

wrong

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion.

If a group of 9 people won 15% of a $4,500 prize, we can determine the amount of money each person won by calculating 15% of $4,500 and then dividing that amount by the number of people in the group.

15% of $4,500 = 0.15 * $4,500 = $675

Now we can divide $675 by the number of people in the group:

$675 / 9 = $75

Therefore, each person in the group won $75.

Answer 6

A group of 9 people won 15 of a $4,500 prize. How much money did each person in the group win?

Answer 7

[AI-generated answer — Bot GPT 3.5]

Apologies for the previous incorrect responses. To calculate how much money each person in the group won, we need to multiply the percentage of the prize won by the total prize amount, and then divide that result by the number of people in the group.

Percentage of the prize won: 15%
Total prize amount: $4,500
Number of people in the group: 9

Step 1: Calculate the amount won by the group
Amount won by the group = (15/100) * $4,500 = $675

Step 2: Divide the amount won by the group by the number of people
Amount won by each person = $675 / 9 = $75

Therefore, each person in the group won $75.

Answer 8

A group of 9 people won 1/5 of a $4,500 prize. How much money did each person in the group win?(1 point)

Answer 9

[AI-generated answer — Bot GPT 3.5]

To calculate how much money each person in the group won, we need to multiply the fraction of the prize won by the total prize amount, and then divide that result by the number of people in the group.

Fraction of the prize won: 1/5
Total prize amount: $4,500
Number of people in the group: 9

Step 1: Calculate the amount won by the group
Amount won by the group = (1/5) * $4,500 = $900

Step 2: Divide the amount won by the group by the number of people
Amount won by each person = $900 / 9 = $100

Therefore, each person in the group won $100.

Answer 10

Solve this multi-step problem. A runner completes 1/4 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?(1 point)

Answer 11

[AI-generated answer — Bot GPT 3.5]

To find out how far the runner can go in 16 minutes, we need to determine how many segments of 1/4 of the race the runner can complete in that time.

Step 1: Calculate the number of segments completed in 8 minutes
Since the runner completes 1/4 of the race every 8 minutes, in 8 minutes they will complete 1 segment.

Step 2: Calculate the number of segments completed in 16 minutes
In 16 minutes, which is twice the time of 8 minutes, the runner will complete twice as many segments. Hence, they will complete 2 segments.

Step 3: Calculate the distance covered in 16 minutes
Each segment is 1/4 of the race, and there are a total of 2 segments in 16 minutes. Thus, the distance covered by the runner in 16 minutes is:

2 segments * 1/4 mile/segment = 2/4 mile = 1/2 mile

Therefore, the runner can go 1/2 mile in 16 minutes.

Answer 12

A water tank decreases by 10 gallons every 3 hours every day. What is the total change in the amount of water in the tank after 6 days?(1 point)

Answer 13

[AI-generated answer — Bot GPT 3.5]

To find the total change in the amount of water in the tank after 6 days, we need to determine the change in the amount of water each day and then multiply it by the number of days.

Change in the amount of water every 3 hours: -10 gallons
Number of hours in a day: 24 hours

Step 1: Calculate the change in the amount of water each day
The tank decreases by 10 gallons every 3 hours, so in 24 hours (one day), it will decrease by 10 gallons/3 hours * 8 hours = 80 gallons.

Step 2: Calculate the total change in the amount of water after 6 days
Since the amount of water decreases by 80 gallons each day, the total change after 6 days is:

80 gallons/day * 6 days = 480 gallons

Therefore, the total change in the amount of water in the tank after 6 days is 480 gallons.

Answer 14

A recipe calls for 1/3 of a container of yogurt. Each container of yogurt has 150 calories. The recipe makes 4 servings. Which set of calculations would give the correct number of calories per serving?(1 point)

Answer 15

[AI-generated answer — Bot GPT 3.5]

To determine the number of calories per serving, we need to multiply the fraction of yogurt used in the recipe by the number of calories in one container of yogurt, and then divide that result by the number of servings.

Fraction of container used: 1/3
Calories per container of yogurt: 150 calories
Number of servings: 4

To find the number of calories per serving, we can use the following set of calculations:

(1/3) * 150 calories = 50 calories

50 calories / 4 servings = 12.5 calories per serving

Therefore, the correct set of calculations to find the number of calories per serving is (1/3) * 150 calories / 4 servings, which equals 12.5 calories per serving.

Answer 16

A recipe calls for 13 of a container of yogurt. Each container of yogurt has 150 calories. The recipe makes 4 servings. Which set of calculations would give the correct number of calories per serving?(1 point)

Responses

13÷150÷4
Start Fraction 1 over 3 End Fraction divided by 150 divided by 4

13×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4

13×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4

13×150÷14

Answer 17

[AI-generated answer — Bot GPT 3.5]

To determine the number of calories per serving, we need to multiply the fraction of yogurt used in the recipe by the number of calories in one container of yogurt, and then divide that result by the number of servings.

Fraction of container used: 1/3
Calories per container of yogurt: 150 calories
Number of servings: 4

To find the number of calories per serving, we can use the following set of calculations:

1/3 * 150 calories / 4 servings

Therefore, the correct set of calculations to find the number of calories per serving is 1/3 * 150 / 4.