Question

Solve for x in the equation 10.25(x−4.4)=69.7 .(1 point)

Answer 1

To solve the equation \( 10.25(x - 4.4) = 69.7 \), follow these steps:

1. **Distribute** \( 10.25 \) on the left side:

\[
10.25x - 10.25 \cdot 4.4 = 69.7
\]

Calculate \( 10.25 \cdot 4.4 \):

\[
10.25 \cdot 4.4 = 45.1
\]

So the equation now becomes:

\[
10.25x - 45.1 = 69.7
\]

2. **Isolate the term with \( x \)** by adding \( 45.1 \) to both sides:

\[
10.25x = 69.7 + 45.1
\]

Calculate the right side:

\[
69.7 + 45.1 = 114.8
\]

Now we have:

\[
10.25x = 114.8
\]

3. **Solve for \( x \)** by dividing both sides by \( 10.25 \):

\[
x = \frac{114.8}{10.25}
\]

Calculate the division:

\[
x \approx 11.2
\]

Thus, the solution for \( x \) is:

\[
\boxed{11.2}
\]