Nokea
Convert the decimal 0.98 to a percent.
- A. 98%
- B. 9%
- C. 98
- D. 99%
Correct Answer: A
Rationale: To convert a decimal to a percent, you multiply the decimal by 100. In this case, 0.98 100 = 98%. Therefore, the correct answer is A, which is 98%. Choice B (9%) is incorrect as it results from an error in calculation. Choice C (98) is incorrect as it lacks the percent symbol. Choice D (99%) is incorrect as it is not the equivalent percentage of 0.98.
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What is the result of adding 1/2 + 4/5?
- A. 1 3/10
- B. 1/2/2024
- C. 1 2/5
- D. 1 1/5
Correct Answer: A
Rationale: To add fractions, you need a common denominator. In this case, the common denominator is 10. So, 1/2 + 4/5 = 5/10 + 8/10 = 13/10 = 1 3/10. Therefore, the correct answer is A: 1 3/10. Choice B, 1/2/2024, is incorrect as it does not represent the sum of the fractions given. Choice C, 1 2/5, is incorrect as it does not match the sum calculated. Choice D, 1 1/5, is incorrect as it does not reflect the correct sum of the fractions provided.
If x = -2 and m = -3, evaluate: xm - 2m
- A. 12
- B. 6
- C. 8
- D. 10
Correct Answer: A
Rationale: Substitute x = -2 and m = -3 into the expression: (-2) * (-3) - 2 * (-3) = 6 + 6 = 12. Therefore, the correct answer is 12. The mistake in the other choices lies in the calculation. Choice B, 6, is the result of adding the two terms instead of subtracting the second term from the first. Choice C, 8, and Choice D, 10, are also incorrect as they do not follow the correct calculation process.
A roast was cooked at 325°F in the oven for 4 hours. The internal temperature rose from 32°F to 145°F. What was the average rise in temperature per hour?
- A. 20
- B. 32
- C. 28
- D. 37°F/hr
Correct Answer: C
Rationale: The temperature increased from 32°F to 145°F, resulting in a total increase of 145°F - 32°F = 113°F. Dividing this total increase by the 4 hours of cooking time gives an average rise of 113°F · 4 = 28.25°F per hour, which can be rounded to 28°F per hour. Therefore, the correct answer is 28. Choice A (20) is incorrect because it does not reflect the actual average rise in temperature per hour. Choice B (32) is incorrect as it does not consider the total temperature increase and divide it by the total hours. Choice D (37°F/hr) is incorrect as it does not match the calculated average rise in temperature per hour.
What is (12/15) · (3/5) = ?
- A. 1 1/3
- B. 1 2/3
- C. 2 1/3
- D. 1
Correct Answer: A
Rationale: To divide fractions, you multiply by the reciprocal of the divisor. (12/15) · (3/5) is the same as (12/15) * (5/3). Cancel out common factors to simplify: 12 · 3 = 4, 15 · 5 = 3. So, the expression simplifies to 4/3, which is 1 1/3 in mixed number form. Choice A, 1 1/3, is the correct answer. Choices B, C, and D are incorrect because they do not represent the simplified form of the division of the given fractions.
If 30% of a given number is 18, what is the full number?
- A. 60
- B. 30
- C. 40
- D. 45
Correct Answer: A
Rationale: If 30% of a number is 18, you can find the full number by dividing 18 by 0.30 (the decimal equivalent of 30%). This calculation results in 60. Therefore, the full number is 60. Choice B (30) is the result if 30% of the number itself was calculated, not the full number. Choices C (40) and D (45) are incorrect and do not align with the given information.