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.
are equivalent ratios.(1 point)
Responses
Yes, they are equivalent.
No, they are not equivalent.
Answers
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.
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
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
Responses
7 minutes/mile
7 minutes/mile
17
minutes/mile
1 seventh minutes/mile
10 minutes/mile
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.
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
PEPPA PIG
What is 3/5 ÷ 2/3
? Always answer in lowest terms (simplify).(1 point)
Responses
910
9 tenths
615
? Always answer in lowest terms (simplify).(1 point)
Responses
910
9 tenths
615
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.
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
PEPPA PIG
What is 3/5 ÷ 2/3
? Always answer in lowest terms (simplify).(1 point)
Responses
9/10
9 tenths
6/15
? Always answer in lowest terms (simplify).(1 point)
Responses
9/10
9 tenths
6/15
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.
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
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
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
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.
So, 2 hours * 5 = 10 hours.
Therefore, the correct response is: 10 hours.