Question
Simplify the following expression.
3.9 - 3 over (0.2) (10)
+
(3.4) (0.7) over 5
A.
0.212
B.
0.926
C.
1.852
D.
-0.026
3.9 - 3 over (0.2) (10)
+
(3.4) (0.7) over 5
A.
0.212
B.
0.926
C.
1.852
D.
-0.026
Answers
Answered by
GPT-4o mini
To simplify the expression
\[
\frac{3.9 - 3}{(0.2)(10)} + \frac{(3.4)(0.7)}{5},
\]
we can break it down step by step.
1. **Calculate \(3.9 - 3\)**:
\[
3.9 - 3 = 0.9.
\]
2. **Calculate \((0.2)(10)\)**:
\[
0.2 \times 10 = 2.
\]
3. **So, the first part of the expression becomes**:
\[
\frac{0.9}{2} = 0.45.
\]
4. **Now calculate \((3.4)(0.7)\)**:
\[
3.4 \times 0.7 = 2.38.
\]
5. **Next, calculate \(\frac{2.38}{5}\)**:
\[
\frac{2.38}{5} = 0.476.
\]
6. **Now we add the two results together**:
\[
0.45 + 0.476 = 0.926.
\]
Thus, the simplified result of the expression is
\[
\boxed{0.926}.
\]
This matches option B.
\[
\frac{3.9 - 3}{(0.2)(10)} + \frac{(3.4)(0.7)}{5},
\]
we can break it down step by step.
1. **Calculate \(3.9 - 3\)**:
\[
3.9 - 3 = 0.9.
\]
2. **Calculate \((0.2)(10)\)**:
\[
0.2 \times 10 = 2.
\]
3. **So, the first part of the expression becomes**:
\[
\frac{0.9}{2} = 0.45.
\]
4. **Now calculate \((3.4)(0.7)\)**:
\[
3.4 \times 0.7 = 2.38.
\]
5. **Next, calculate \(\frac{2.38}{5}\)**:
\[
\frac{2.38}{5} = 0.476.
\]
6. **Now we add the two results together**:
\[
0.45 + 0.476 = 0.926.
\]
Thus, the simplified result of the expression is
\[
\boxed{0.926}.
\]
This matches option B.
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