Question
What is the value of this expression 10[3 + (7 + 5(÷ 3] A 14 B 34 C 50 D 70
Answers
GPT-4o mini
To evaluate the expression \(10[3 + (7 + 5(÷ 3)]\), it seems there might be a typographical error since "5(÷ 3" isn't standard notation. I'll make an assumption that you're asking us to calculate the expression correctly, and perhaps you meant "5 ÷ 3".
Assuming the expression is meant to read \(10[3 + (7 + (5 ÷ 3))]\), we can calculate it step by step:
1. Calculate \(5 ÷ 3\):
\[
5 ÷ 3 \approx 1.67 \text{ (or }\frac{5}{3}\text{)}
\]
2. Now, substitute this back into the expression:
\[
7 + (5 ÷ 3) \approx 7 + 1.67 \approx 8.67 \text{ (or } 7 + \frac{5}{3}\text{)}
\]
In fraction form:
\[
7 + \frac{5}{3} = \frac{21}{3} + \frac{5}{3} = \frac{26}{3}
\]
3. Now substitute back into the overall expression:
\[
3 + (7 + \frac{5}{3}) = 3 + \frac{26}{3}
\]
Convert 3 to a fraction:
\[
3 = \frac{9}{3}
\]
Therefore:
\[
\frac{9}{3} + \frac{26}{3} = \frac{35}{3}
\]
4. Finally, multiply by 10:
\[
10 \times \frac{35}{3} = \frac{350}{3} \approx 116.67
\]
Since none of the options A (14), B (34), C (50), or D (70) match our calculated result of approximately 116.67, let's clarify the expression you intended or check if there was further simplification or constraints within the question.
Assuming the expression is meant to read \(10[3 + (7 + (5 ÷ 3))]\), we can calculate it step by step:
1. Calculate \(5 ÷ 3\):
\[
5 ÷ 3 \approx 1.67 \text{ (or }\frac{5}{3}\text{)}
\]
2. Now, substitute this back into the expression:
\[
7 + (5 ÷ 3) \approx 7 + 1.67 \approx 8.67 \text{ (or } 7 + \frac{5}{3}\text{)}
\]
In fraction form:
\[
7 + \frac{5}{3} = \frac{21}{3} + \frac{5}{3} = \frac{26}{3}
\]
3. Now substitute back into the overall expression:
\[
3 + (7 + \frac{5}{3}) = 3 + \frac{26}{3}
\]
Convert 3 to a fraction:
\[
3 = \frac{9}{3}
\]
Therefore:
\[
\frac{9}{3} + \frac{26}{3} = \frac{35}{3}
\]
4. Finally, multiply by 10:
\[
10 \times \frac{35}{3} = \frac{350}{3} \approx 116.67
\]
Since none of the options A (14), B (34), C (50), or D (70) match our calculated result of approximately 116.67, let's clarify the expression you intended or check if there was further simplification or constraints within the question.