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Use what you know about percentages to evaluate the following expressions, rounding your answers to one decimal place:

1. 35% of 110
2. What percent of 55 is 33?
3. 13 out of 87 is what percent?

A) 38.5, 18.2, 14.9
B) 38.5, 30.2, 14.9
C) 35.0, 33.0, 14.9
D) 35.0, 18.2, 15.0

Answer :

Final answer:

To calculate percentages, one uses the part divided by the total, multiplied by 100. The correct evaluations are: 35% of 110 is 38.5, 33% of 55 is 18.2, and 13 out of 87 as a percentage is 14.9. Correct option is a .

Explanation:

Calculating a percentage involves using the formula: part over total, multiplied by 100. To find 35% of 110, we calculate 0.35 × 110, which equals 38.5. When it's said that 33% of 55, we understand that 33 out of 100 parts of 55 are meant, so we compute 0.33 × 55, resulting in 18.15, which rounds to 18.2. Lastly, to convert 13 out of 87 into a percentage, we divide 13 by 87 and then multiply by 100. This gives us roughly 14.9425, which rounds to 14.9%. Hence, the correct answers are 38.5, 18.2, and 14.9.

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