Solve the following equation
0.5h+0.05(h+7)=3.65
Solve for h
0.5h + 0.05(h + 7) = 3.65
Simplify by removing parenthesesSimplify 0.05(h + 7):
Distribute the 0.05 to each term in (h+7)
0.05 * h = (0.05 * 1)h = 0.05h
0.05 * 7 = (0.05 * 7) = 0.35
Our Total expanded term is 0.05h + 0.35
Our new term is
0.5h + 0.05h + 0.35
Show our new expression:
0.5h+0.05h+0.35=3.65
Group the h terms on the left:
(0.5 + 0.05)h = 0.55h
Form modified equation
0.55h + 0.35 = + 3.65
Divide each side by 0.5
| 0.5h | |
| 0.5 |
| = |
| 0.05 |
| 0.5 |
Group constants
Group our constants 0.35 and 3.65.
subtract 0.35 from both sides
0.55h + 0.35 - 0.35 = 3.65 - 0.35
Cancel 0.35 on the left side:
0.55h = 3.3
Divide each side of the equation by 0.55
| 0.55h | |
| 0.55 |
| = |
| 3.3 |
| 0.55 |
h = 6
Final Answer
h = 6
