What value correctly fills in the blank so that the expressions are equivalent?

32 + 72 = blank x (4 + 9)
4
8
12
13

To solve the problem, we need to determine the value that correctly fills in the blank to make the two expressions equivalent:

Given:  
\[ 32 + 72 = \text{blank} \times (4 + 9) \]

First, calculate the left-hand side:
\[ 32 + 72 = 104 \]

Next, calculate the expression inside the parentheses on the right-hand side:
\[ 4 + 9 = 13 \]

So, the equation becomes:
\[ 104 = \text{blank} \times 13 \]

Now, solve for the blank:
\[ \text{blank} = \frac{104}{13} = 8 \]

Therefore, the value that correctly fills in the blank is **8**.

Would you like more details or have any other questions? Here are some related questions you might find helpful:

1. What is the process for solving basic algebraic equations?
2. How do you check if two expressions are equivalent?
3. What are the properties of equality in algebra?
4. Can you explain the distributive property in algebra?
5. How can you simplify expressions involving parentheses?

**Tip:** Always double-check your calculations to ensure accuracy when solving equations.

Discover how to find the value that makes the equations 32 + 72 = blank × (4 + 9) equivalent. Follow a step-by-step solution to solve this algebraic problem. Suitable for students in Grades 7-9.

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