Fleming West
01/05/2023 · Middle School
\( \begin{array}{ll}\text { b } & 14.8+23.7 \div 2.1-7.4 \\ \text { c } & 47.9 \div 6.1-12.7 \times 3.9\end{array} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the expressions in the table, we will follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
### Expression b:
\[ 14.8 + 23.7 \div 2.1 - 7.4 \]
1. **Division**: Calculate \( 23.7 \div 2.1 \):
\[
23.7 \div 2.1 \approx 11.2857
\]
2. **Addition**: Now add \( 14.8 + 11.2857 \):
\[
14.8 + 11.2857 \approx 26.0857
\]
3. **Subtraction**: Finally, subtract \( 7.4 \):
\[
26.0857 - 7.4 \approx 18.6857
\]
So, the result for expression b is approximately:
\[
\text{b} \approx 18.69
\]
### Expression c:
\[ 47.9 \div 6.1 - 12.7 \times 3.9 \]
1. **Division**: Calculate \( 47.9 \div 6.1 \):
\[
47.9 \div 6.1 \approx 7.8689
\]
2. **Multiplication**: Calculate \( 12.7 \times 3.9 \):
\[
12.7 \times 3.9 \approx 49.53
\]
3. **Subtraction**: Now subtract \( 49.53 \) from \( 7.8689 \):
\[
7.8689 - 49.53 \approx -41.6611
\]
So, the result for expression c is approximately:
\[
\text{c} \approx -41.66
\]
### Final Results:
- \( \text{b} \approx 18.69 \)
- \( \text{c} \approx -41.66 \)
Quick Answer
b ≈ 18.69, c ≈ -41.66
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