Question
Evaluate the following expression. \( 6 \times[(14+31) \div 9+3] \)
Ask by Wyatt Marshall. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expression evaluates to 48.
Solution
1. Calculate the sum inside the inner parentheses:
\[
14 + 31 = 45
\]
2. Replace the sum in the expression:
\[
6 \times \left[\frac{45}{9} + 3\right]
\]
3. Divide \(45\) by \(9\):
\[
\frac{45}{9} = 5
\]
4. Replace the division result:
\[
6 \times \left[5 + 3\right]
\]
5. Compute the sum inside the brackets:
\[
5 + 3 = 8
\]
6. Multiply by \(6\):
\[
6 \times 8 = 48
\]
The evaluated expression is \(48\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
Let's break down the expression step by step. First, we calculate the expression inside the brackets: \(14 + 31 = 45\). Next, we divide this sum by 9: \(45 \div 9 = 5\). Now, we add 3: \(5 + 3 = 8\). Finally, we multiply this result by 6: \(6 \times 8 = 48\). Thus, the evaluated expression is \(48\).