Question

Which of the following options have the same value as 75%, percent of 96? (Choose 3 answers)

A) 4/3 ⋅ 96
B) 75/100 ⋅ 96
C) 0.75 ⋅ 96
D) 4/3 ⋅ 96
E) 75 ⋅ 96

Answer 1

Options B) 75/100 × 96 and C) 0.75 × 96 both correctly represent 75% of 96 as they convert the percentage to its fractional and decimal equivalents and then multiply by 96. A), D), and E) are incorrect.

Step-by-step explanation:

The student's question pertains to finding which of the given expressions are equivalent to 75% of 96. In order to determine the correct answers, we must understand that 75% can be represented as 75/100 or 0.75.

• B) 75/100 × 96 is equivalent to 75% of 96 because it directly uses the percentage as a fraction.
• C) 0.75 × 96 is also equivalent to 75% of 96 because 0.75 is the decimal form of 75%.
• A) 4/3 × 96 is not equivalent because 4/3 is greater than 1 and thus would be more than 100%, not 75%.
• D) 4/3 × 96 is incorrectly listed twice and is still incorrect for the same reason as explained for option A).
• E) 75 × 96 is not equivalent to 75% of 96. This operation would give a result much larger than 96, let alone 75% of it.

Options B) and C) are the correct choices that represent 75% of 96 because they correctly convert the percentage to its fractional and decimal forms before multiplying by 96.