Question
\( \left. \begin{array} { c } { 7 \cdot ? = } \\ { 9 ( 5 + 2 ) \cdot 6 \div 7 } \\ \hline \end{array} \right. \)
Ask by Donnelly Bright. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The missing number is 54/7.
Solution
Let's break it down step by step:
1. First, evaluate the expression on the right-hand side:
a. Inside the parentheses: 5 + 2 = 7.
b. Multiply by 9: 9 · 7 = 63.
c. Multiply by 6: 63 · 6 = 378.
d. Divide by 7: 378 ÷ 7 = 54.
2. Now, the equation becomes:
7 · ? = 54
3. To isolate the unknown '?', divide both sides by 7:
? = 54 ÷ 7
? = 54/7
So, the missing number is 54/7 (which is approximately 7.7143).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
To solve for the unknown in the equation \( 7 \cdot ? = 9 ( 5 + 2 ) \cdot 6 \div 7 \), first simplify the right-hand side. Start by calculating \( 5 + 2 \), which equals \( 7 \). Then, multiply \( 9 \) by \( 7 \) to get \( 63 \). Next, multiply \( 63 \) by \( 6 \) to yield \( 378 \). Finally, divide \( 378 \) by \( 7 \) which gives you \( 54 \). Now the equation looks like this: \( 7 \cdot ? = 54 \). To find \( ? \), divide both sides by \( 7 \): \( ? = \frac{54}{7} \), which simplifies to \( ? \approx 7.714 \) or can be expressed as a fraction, specifically \( 7 \frac{5}{7} \).
