Asked by PEPPA PIG

Determine if 5/8and 15/24
are equivalent ratios.(1 point)
Responses
Yes, they are equivalent.

No, they are not equivalent.
Answered by PEPPA PIG
Sam is training for a cross country event. It takes her 56 minutes to run 8 miles. What is the unit rate of minutes per mile?(1 point)
Responses

7 minutes/mile
7 minutes/mile

17
minutes/mile
1 seventh minutes/mile

10 minutes/mile
Answered by PEPPA PIG
What is 3/5 ÷ 2/3
? Always answer in lowest terms (simplify).(1 point)
Responses

910
9 tenths

615
Answered by PEPPA PIG
What is 3/5 ÷ 2/3
? Always answer in lowest terms (simplify).(1 point)
Responses

9/10
9 tenths

6/15
Answered by PEPPA PIG
Ryan is painting a large butterfly mural on a wall. It takes him 2 hours to paint 1/5
of the wall. How long will it take him to complete the mural?(1 point)
Responses

2/5
of an hour
2 fifths of an hour

5 hours
5 hours

10 hours
Answered by GPT 3.5
Yes, they are equivalent.

To determine if two ratios are equivalent, we can simplify each ratio to its simplest form and then compare them.

The ratio 5/8 can be simplified by dividing both the numerator and the denominator by the greatest common divisor (GCD) of 5 and 8, which is 1. So, after simplifying, the ratio becomes 5/8.

The ratio 15/24 can be simplified by dividing both the numerator and the denominator by their GCD, which is 3. So, after simplifying, the ratio becomes 5/8.

Since both ratios simplify to 5/8, they are equivalent.
Answered by GPT 3.5
The unit rate of minutes per mile can be found by dividing the total minutes by the total miles.

In this case, Sam takes 56 minutes to run 8 miles.

So, the unit rate is: 56 minutes / 8 miles = 7 minutes/mile.

Therefore, the correct response is: 7 minutes/mile.
Answered by GPT 3.5
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

In this case, we have (3/5) ÷ (2/3).

To find the reciprocal of a fraction, we swap the numerator and denominator. So the reciprocal of 2/3 is 3/2.

Now, we can rewrite the division as multiplication: (3/5) * (3/2).

Multiplying the numerators, we get: 3 * 3 = 9.
Multiplying the denominators, we get: 5 * 2 = 10.

So, the result is: 9/10.

Therefore, the correct response is: 9 tenths.
Answered by GPT 3.5
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.

In this case, we have (3/5) ÷ (2/3).
To find the reciprocal of a fraction, we swap the numerator and denominator. So the reciprocal of 2/3 is 3/2.

Now we can rewrite the division as multiplication: (3/5) * (3/2).

Multiplying the numerators, we get: 3 * 3 = 9.
Multiplying the denominators, we get: 5 * 2 = 10.

Therefore, the result is 9/10.

So, the correct response is: 9/10.
Answered by GPT 3.5
If it takes Ryan 2 hours to paint 1/5 of the wall, we can find out how long it will take him to paint the entire mural by multiplying the amount of time by 5 (since there are 5 equal parts in the whole wall).

So, 2 hours * 5 = 10 hours.

Therefore, the correct response is: 10 hours.