Question

which expression expression is equivalent to 3/4 (5z+ 16).
15/4z+16
15/4z+12
3/4z+16
3/4z+12

Answer 1

Hello @caira12
For this problem, we should use something called the "distributive property". It looks something like this:

Answer 2

Here's a simple example of how the "distributive property" is true:
2*5 = 10 right?
5 also = 2+3
so
2*(2+3) = (2*2) + (2*3) = 4 + 6 = 10

Answer 3

so, what we do for your problem is:

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

then multiply
see what you get, it should end up matching one of the answers

but if you are still stuck, feel free to come back and tag me with @Champion for more help :-) Good Luck!