Question

Write an expression that is equivalent to (5z+ 16). (4 points)

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

Answer 1

The correct expression given is:

`(3)/(4) (5z + 16)`

Answer:
option D is the correct one

Step-by-step explanation:
We will start by simplifying the given expression as follows:

`(3)/(4) (5z + 16)`

We will use the distributive property to get rid of the brackets as follows:

`(3)/(4) * 5z + (3)/(4) * 16`

We will now compute the multiplication, this will give us:

`(3*5z)/(4) + (3*16)/(4) \\ (15z)/(4) + 12`

This is the simplest form of our expression.
Comparing this with the choices, we will find that the correct choice is D

Hope this helps :)