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?

Question

GPT-4o mini · Answer

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: $$ \boxed{8} $$

Answer

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

GPT-4o mini · Answer

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.

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

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

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:

$ \frac{96}{4} = 24$
$ \frac{144}{4} = 36$
$ \frac{32}{4} = 8$
$ \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: \[ \boxed{3} \quad (32/4) \]