Question

Which of the following expressions is equivalent to 3/4(5z + 16)?

A) 15/4z + 16
B) 15/4z + 12
C) 3/4z + 16
D) 3/4z + 12

Answer 1

To simplify the expression 3/4(5z + 16), distribute the 3/4 to each term in the parentheses and simplify the resulting terms.

Step-by-step explanation:

To simplify the expression 3/4(5z + 16), we need to distribute the 3/4 to both terms inside the parentheses.

First, we distribute the 3/4 to 5z: 3/4 * 5z = (3 * 5z) / 4 = 15z / 4.

Then, we distribute the 3/4 to 16: 3/4 * 16 = (3 * 16) / 4 = 48 / 4 = 12.

Therefore, the simplified expression is 15z/4 + 12, which is equivalent to option A) 15/4z + 16.