Question

Enter the missing values in the area model to find 10, left parenthesis, 4, u, minus, 7, right parenthesis10(4u−7)
10
40u
-7
Answer
Attempt 1 out of 2

According to the model above, 10, left parenthesis, 4, u, minus, 7, right parenthesis, equals10(4u−7)=

Answer 1

To solve for \(10(4u - 7)\) using an area model, you can break it down as follows:

1. **Distribute the 10:** You multiply 10 by each term inside the parentheses:
\[
10(4u - 7) = 10 \cdot 4u + 10 \cdot (-7)
\]

2. **Calculate each part:**
- For \(10 \cdot 4u\):
\[
10 \cdot 4u = 40u
\]
- For \(10 \cdot (-7)\):
\[
10 \cdot (-7) = -70
\]

3. **Combine the results:**
\[
40u - 70
\]

So, the expression \(10(4u - 7)\) simplifies to:
\[
40u - 70
\]

### Summary:
The missing values in your area model would be:
- \(10(4u - 7) = 40u - 70\)