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Which of the following options have the same value as [tex]$8 \%$[/tex] of 94?

Choose 2 answers:

A. [tex]0.8 \cdot 94[/tex]

B. [tex]0.08 \cdot 94[/tex]

C. [tex]800 \cdot 94[/tex]

D. 8.94

E. [tex]\frac{8}{100} \cdot 94[/tex]

Answer :

To find which options have the same value as 8% of 94, let's break it down step by step:

1. Calculate 8% of 94:

To find 8% of a number, you multiply the number by 0.08 (since 8% is the same as 8/100, which is 0.08 in decimal form). So, we do the following calculation:

[tex]\[
8\% \, \text{of} \, 94 = 0.08 \times 94 = 7.52
\][/tex]

So, 8% of 94 is 7.52.

2. Compare with each option:

We go through each of the provided options to check which ones also equal 7.52.

- Option A: [tex]\(0.8 \times 94\)[/tex]
- Calculation: [tex]\(0.8 \times 94 = 75.2\)[/tex]
- This is not equal to 7.52.

- Option B: [tex]\(0.08 \times 94\)[/tex]
- Calculation: [tex]\(0.08 \times 94 = 7.52\)[/tex]
- This equals 7.52.

- Option C: [tex]\(800 \times 94\)[/tex]
- Calculation: [tex]\(800 \times 94 = 75200\)[/tex]
- This is not equal to 7.52.

- Option D: 8.94
- This number is not equal to 7.52.

- Option E: [tex]\(\frac{8}{100} \times 94\)[/tex]
- Calculation: [tex]\(\frac{8}{100} \times 94 = 7.52\)[/tex]
- This equals 7.52.

3. Conclusion:

The options that have the same value as 8% of 94 are Option B and Option E since both equal 7.52.

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