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

Question

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.