Question

Write an expression that is equivalent to 3/4 (5z+16).

A.15/4 z + 16

B.15/4 z + 12

C.3/4 z + 16

D.3/4 z + 12

Answer 1

`\huge\text{Hey there!}`

`\huge\textbf{Question reads....}`

`\large\text{Write an expression that is equivalent to }\rm{(3)/(4)(5z + 16).}`

`\huge\textbf{In order to answer this question, you}\\\huge\textbf{have to distribute. If you're unsure what}\\\huge\textbf{the distributive property formula is, it is:}`

`\large\textsf{a(b + c)}`

`\rightarrow\large\textsf{a}*\large\textsf{{b + a}}*\large\textsf{c}`

`\rightarrow\large\textsf{ab + ac}`

`\huge\textbf{Now, that we have that much}\\\huge\textbf{information out of the way, we can}\\\huge\textbf{now begin to answer the given question.}`

`\huge\textbf{Here's what your equation looks like:}`

`\mathsf{(3)/(4)(5z + 16)}`

`\huge\textbf{Solving it:}`

`\mathsf{(3)/(4)(5z + 16)}`

`\rightarrow\mathsf{(3)/(4) * 5z + (3)/(4) * 16}`

`\rightarrow\mathsf{(15)/(4)z + 12}`

`\huge\textbf{Therefore, your answer is most likely:\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] }`
`\huge\textbf{Therefore, your answer should be:}`

`\huge\boxed{\frak{Option\ B. (15)/(4)\mathsf{z} + 12}}\huge\checkmark`

~

Answer 2

B. 15/4 z + 12

Explanation:

Apply the distributive property and multiply 3/4 by 5z and by 16.

3/4 (5z + 16) = 3/4 × 5z + 3/4 × 16 = 15/4 z + 12