Question

Consider the expression [3(4^2+32÷4−5)] . Which quotient must be found to simplify the expression?(1 point)
Responses:48÷4, 144÷4, 96÷4, 32÷4.

Answer 1

To simplify the expression \( [3(4^2 + 32 \div 4 - 5)] \), we need to calculate the value of the quotient \( 32 \div 4 \).

Here's a step-by-step breakdown:

1. Calculate \( 32 \div 4 \):
\[
32 \div 4 = 8
\]

2. Now, substitute this back into the expression:
\[
4^2 + 8 - 5
\]

3. Calculate \( 4^2 \):
\[
4^2 = 16
\]

4. Now substitute this into the equation:
\[
16 + 8 - 5
\]

5. Add and subtract:
\[
16 + 8 = 24
\]
\[
24 - 5 = 19
\]

6. Then multiply by \( 3 \):
\[
3 \times 19 = 57
\]

So, the quotient that must be found to simplify the expression is \( 32 \div 4 \).

Thus, the answer is **32÷4**.