Question

Solve the equation. Check your answer.
3.9plus10mequals6.82

Answer 1

To solve the equation \( 3.9 + 10m = 6.82 \), we can isolate \( m \).

1. Start by subtracting \( 3.9 \) from both sides of the equation:
\[
10m = 6.82 - 3.9
\]

2. Calculate \( 6.82 - 3.9 \):
\[
6.82 - 3.9 = 2.92
\]
So, we have:
\[
10m = 2.92
\]

3. Next, divide both sides by \( 10 \) to solve for \( m \):
\[
m = \frac{2.92}{10} = 0.292
\]

Now, let's check the answer by substituting \( m = 0.292 \) back into the original equation:

1. Substitute \( m \) into \( 3.9 + 10m \):
\[
3.9 + 10(0.292) = 3.9 + 2.92 = 6.82
\]

Since both sides of the equation are equal, our solution is correct.

Thus, the solution is:
\[
m = 0.292
\]