Question

. What value of g makes the equation true?
0.25(g+1.5)=2
Responses


-1

2

6.5

9.5

Answer 1

To solve the equation \( 0.25(g + 1.5) = 2 \), we can follow these steps:

1. **Distribute the 0.25**:
\[
0.25g + 0.25 \times 1.5 = 2
\]
Calculate \( 0.25 \times 1.5 \):
\[
0.25 \times 1.5 = 0.375
\]
Now the equation looks like:
\[
0.25g + 0.375 = 2
\]

2. **Subtract 0.375 from both sides**:
\[
0.25g = 2 - 0.375
\]
Calculate \( 2 - 0.375 \):
\[
2 - 0.375 = 1.625
\]
Now the equation becomes:
\[
0.25g = 1.625
\]

3. **Divide both sides by 0.25** to solve for \( g \):
\[
g = \frac{1.625}{0.25}
\]
Calculate \( \frac{1.625}{0.25} \):
\[
g = 6.5
\]

Thus, the value of \( g \) that makes the equation true is **6.5**.