Question
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Tutor-Verified Answer
Answer
The value that replaces the square is **2**.
Solution
To solve the equation:
\[ (14 \div \square) + 4 = 11 \]
Let's find the value that should replace the square (□).
**Step 1:** Subtract 4 from both sides to isolate the division term.
\[
14 \div \square = 11 - 4
\]
\[
14 \div \square = 7
\]
**Step 2:** Now, solve for the square (□) by setting up the equation:
\[
\frac{14}{\square} = 7
\]
To find □, divide 14 by 7:
\[
\square = \frac{14}{7} = 2
\]
**Answer:** The value that replaces the square is **2**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To solve the equation \( (14 \div \square)+4=11 \), let's isolate the division part. First, subtract 4 from both sides: \( 14 \div \square = 11 - 4 \) \( 14 \div \square = 7 \) Now, to find the unknown, multiply both sides by the square: \( 14 = 7 \cdot \square \) Dividing both sides by 7 gives: \( \square = 14 \div 7 = 2 \) So, the value of the square is \( 2 \).
