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

Answer:

B. 15/4 z + 12

Step-by-step 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

Answer 2

$\huge\text{Hey there!}$

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

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

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

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

$\rightarrow\large\textsf{a}\times\large\textsf{{b + a}}\times\large\textsf{c}$

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

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

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

$\mathsf{\dfrac{3}{4}(5z + 16)}$

$\huge\textbf{Solving it:}$

$\mathsf{\dfrac{3}{4}(5z + 16)}$

$\rightarrow\mathsf{\dfrac{3}{4} \times 5z + \dfrac{3}{4} \times 16}$

$\rightarrow\mathsf{\dfrac{15}{4}z + 12}$

$\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:}$

$\huge\boxed{\frak{Option\ B. \dfrac{15}{4}\mathsf{z} + 12}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$