106k views
12 votes
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

2 Answers

9 votes


\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


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

~
\frak{Amphitrite1040:)}

User Jack Fleeting
by
8.5k points
13 votes

Answer:

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

User Talha Bin Shakir
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories