8 is what percent of 40

HESI A2

HESI A2 Quizlet Math

1. What percentage of 40 is 8?

A. 20%
B. 15%
C. 10%
D. 25%

Correct answer: C

Rationale: To find the percentage of 8 in 40, divide 8 by 40 to get 0.2. Multiply this result by 100 to convert it to a percentage: 0.2 × 100 = 10%. Therefore, 8 is 10% of 40, making choice C the correct answer. Choices A, B, and D are incorrect percentages calculated from incorrect divisions and multiplications.

2. Convert the fraction to the simplest possible ratio: 4/6

A. 2:3
B. 4:7
C. 4:6
D. 3:5

Correct answer: A

Rationale: To simplify the fraction 4/6, you can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 4 by 2 gives 2, and dividing 6 by 2 gives 3. Therefore, the simplest ratio of 4/6 is 2:3. Choice B (4:7) is incorrect because it does not result from simplifying the fraction. Choice C (4:6) is incorrect as it represents the original fraction, not the simplest form. Choice D (3:5) is incorrect as it does not match the simplified ratio of 4/6.

3. If the ratio and proportion 15:2000=x:200, what is the value of x?

A. 7
B. 0
C. 7,777
D. 1

Correct answer: D

Rationale: To find the value of x in the given ratio and proportion, we can set up the equation as 15:2000=x:200. Cross multiply to get x * 2000 = 15 * 200. Simplifying this gives x = 1. Therefore, the correct answer is D, which is 1. Choice A (7), Choice B (0), and Choice C (7,777) are incorrect as they do not match the correct calculation of x.

4. What is the probability of rolling a 5 on a six-sided die?

A. 1/6
B. 1/4
C. 1/2
D. 1/3

Correct answer: A

Rationale: The probability of rolling a specific number on a fair six-sided die is calculated by dividing the number of favorable outcomes (1 in this case, as there is one '5' on the die) by the total number of possible outcomes (6 for a six-sided die), resulting in a probability of 1/6. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not accurately represent the probability of rolling a 5 on a six-sided die. Option B (1/4) is incorrect because it represents the probability of rolling a specific number on a four-sided die. Option C (1/2) and Option D (1/3) are incorrect as they do not match the probability calculation for rolling a 5 on a six-sided die.

5. What is the result of subtracting 8.4 from 3.7?

A. 4.5
B. 4.8
C. 4.6
D. 4.7

Correct answer: D

Rationale: To find the result of subtracting 8.4 from 3.7, you need to subtract 3.7 from 8.4. Performing this subtraction, 8.4 - 3.7 equals 4.7. Therefore, the correct answer is 4.7. Choice A, 4.5, is incorrect as it is not the result of subtracting 8.4 from 3.7. Choices B and C, 4.8 and 4.6 respectively, are also incorrect as they do not match the correct subtraction result of 4.7.