Question

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

96÷4
96 divided by 4

48÷4
48 divided by 4

144÷4
144 divided by 4

32÷4
32 divided by 4

Answer 1

To simplify the expression \(3(4^2 + 32 \div 4 - 5)\), we need to evaluate the parts inside the parentheses first, following the order of operations (PEMDAS/BODMAS).

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

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

3. **Subtract 5 from the result:**
\[
8 - 5 = 3
\]

4. **Add \(16\) from step 1:**
\[
16 + 3 = 19
\]

Now, the expression simplifies to:
\[
3(19)
\]

However, the specific quotient to be found initially from the options given relates to the operation \(32 \div 4\), which evaluates to 8. So, the correct response from the options is:

**32 ÷ 4**

Because that is the quotient that needs to be calculated to simplify the original expression.