Consider the expression left bracket 3 left parenthesis 4 squared plus 32 divided by 4 minus 5 right parenthesis right bracket . Which quotient must be found to simplify the expression?

3 answers

To simplify the expression \(3(4^2 + 32 \div 4 - 5)\), we first need to evaluate the parts inside the parentheses.

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

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

  3. Now, substitute these values back into the expression inside the parentheses: \[ 3(16 + 8 - 5) \]

  4. Next, simplify inside the parentheses: \[ 16 + 8 = 24 \] \[ 24 - 5 = 19 \]

  5. Finally, we have: \[ 3(19) \]

In order to simplify the original expression, the quotient we needed to find is \(32 \div 4\).

Therefore, to properly simplify the given expression, the quotient is: \[ \boxed{8} \]

no here are the answers 1: 96/4 2: 144/4 3: 32/4 4: 48/4

To find out which quotient must be found to simplify the expression \(3(4^2 + 32 \div 4 - 5)\), we can re-evaluate the expression step by step and check which of the quotients listed relates to the expression.

  1. Start with the expression \(3(4^2 + 32 \div 4 - 5)\).
  2. Calculate \(4^2\): \[ 4^2 = 16 \]
  3. Next, calculate \(32 \div 4\): \[ 32 \div 4 = 8 \]

Now substitute these values into the expression: \[ 3(16 + 8 - 5) \]

  1. Combine the terms inside the parentheses: \[ 16 + 8 = 24 \] \[ 24 - 5 = 19 \]

Thus, we arrive at: \[ 3(19) = 57 \]

Now let's consider the provided answer choices:

  1. \( \frac{96}{4} = 24\)
  2. \( \frac{144}{4} = 36\)
  3. \( \frac{32}{4} = 8\)
  4. \( \frac{48}{4} = 12\)

Based on the structure of the expression, the quotient we need to evaluate to simplify \(32 \div 4\) is part of the calculation already done.

However, if we consider the relation to the entire expression, the part that contributes importantly to simplifying \(32 \div 4\) especially relates back to \(32\), which leads us back to option 3.

Thus, the correct answer to find the necessary quotient during simplification is \( \frac{32}{4} \).

Therefore, the answer is: \[ \boxed{3} \quad (32/4) \]