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

Question

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.