Consider the expression [3(42+32÷4−5)] . Which quotient must be found to simplify the expression?(1 point)

Responses

96÷4
96 divided by 4

144÷4
144 divided by 4

32÷4
32 divided by 4

48÷4
48 divided by 4

1 answer

To simplify the expression \( 3(42 + 32 \div 4 - 5) \), we first need to solve the calculation inside the parentheses.

  1. Calculate \( 32 \div 4 \):

    \[ 32 \div 4 = 8 \]

  2. Substitute it back into the expression:

    \[ 3(42 + 8 - 5) \]

  3. Now simplify \( 42 + 8 - 5 \):

    \[ 42 + 8 = 50 \] \[ 50 - 5 = 45 \]

  4. Thus, we have:

    \[ 3(45) \]

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

The correct answer is:

32 ÷ 4.