High School

Which of the following situations are equal to 75%? Select all that apply.

A) 9 out of 12
B) 27 out of 36
C) 4 out of 8
D) 60 out of 80
E) 15 out of 25

Answer :

Final answer:

To find which values are equivalent to 75%, each fraction is converted to a percentage and compared. Options A (9 out of 12), B (27 out of 36), and D (60 out of 80) are equal to 75%.

Explanation:

The question asks which of the given situations are equivalent to 75%. To determine if the fractions are equal to 75%, we convert them into percentages by dividing the numerator by the denominator and then multiplying by 100. Let's calculate each option:

A) 9 out of 12: (9 ÷ 12) × 100 = 75%

B) 27 out of 36: (27 ÷ 36) × 100 = 75%

C) 4 out of 8: (4 ÷ 8) × 100 = 50%

D) 60 out of 80: (60 ÷ 80) × 100 = 75%

E) 15 out of 25: (15 ÷ 25) × 100 = 60%

Therefore, the situations equivalent to 75% are options A, B, and D.

Answer:

A) 9 out of 12

Step-by-step explanation:

The first step is to divide 9 by 12 to get the answer in decimal form:

9 / 12 = 0.7500

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.7500 * 100 = 75.00%

We can prove that the answer is correct by taking 75.00 percent of 12 to get 9:

(12 x 75.00)/100 = 9