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\begin{tabular}{l} Evaluate the following expression. \\ \( \qquad[1+(16+19) \div 5] \times 3 \) \\ \hline ? \end{tabular}

Ask by Bird Deleon. in the United States
Mar 12,2025

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Tutor-Verified Answer

Answer

The result of the expression \( [1+(16+19) \div 5] \times 3 \) is 24.

Solution

To evaluate the expression \( [1+(16+19) \div 5] \times 3 \), we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Let's break it down step by step: 1. **Calculate the expression inside the parentheses**: \[ 16 + 19 = 35 \] 2. **Now substitute back into the expression**: \[ [1 + 35 \div 5] \times 3 \] 3. **Next, perform the division**: \[ 35 \div 5 = 7 \] 4. **Substitute this result back into the expression**: \[ [1 + 7] \times 3 \] 5. **Now, perform the addition inside the brackets**: \[ 1 + 7 = 8 \] 6. **Finally, multiply by 3**: \[ 8 \times 3 = 24 \] Thus, the final result of the expression \( [1+(16+19) \div 5] \times 3 \) is \( 24 \).

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The Deep Dive

To evaluate the expression \( [1+(16+19) \div 5] \times 3 \), let's break it down step-by-step. 1. Start by solving the expression inside the parentheses: \( 16 + 19 = 35 \). 2. Next, divide this sum by 5: \( 35 \div 5 = 7 \). 3. Now, substitute this back into the expression: \( [1 + 7] \times 3 \). 4. Add 1 and 7: \( 1 + 7 = 8 \). 5. Finally, multiply by 3: \( 8 \times 3 = 24 \). Thus, the evaluated expression is \( 24 \).

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