what percentage of her income is left
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HESI A2

HESI A2 Quizlet Math

1. What percentage of her income is left after Mary spent 15%?

Correct answer: B

Rationale: To determine the percentage of income remaining after spending 15%, subtract the percentage spent from 100% (100% - 15% = 85%). Therefore, Mary has 85% of her income left, which aligns with answer choice B. Choice A (12%) is incorrect because it represents the remaining amount after spending 88% of her income. Choice C (75%) is incorrect as it does not account for the 15% already spent. Choice D (95%) is incorrect as it does not consider the amount spent by Mary.

2. How many liters are in 300 milliliters?

Correct answer: C

Rationale: To convert milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in 1 liter. Therefore, 300 milliliters ÷ 1000 = 0.3 liters. Choice A, 0.03 liters, is the result of dividing by 10 instead of 1000. Choice B, 3 liters, is the result of multiplying instead of dividing. Choice D, 0.003 liters, is the result of dividing by 1000 twice, which is incorrect.

3. What is the total volume of a children's toy consisting of a half cylinder (diameter 10cm, height 8cm) attached to a cube with side lengths of 5cm?

Correct answer: C

Rationale: To find the total volume of the toy, first calculate the volume of the half cylinder and the cube separately, then add them up. The volume of the half cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get V = π(5^2)8 = 200π ≈ 628.32 cubic cm. The volume of the cube is found by V = s^3, where s is the side length. Substituting s = 5, we get V = 5^3 = 125 cubic cm. Adding the volumes of the half cylinder and the cube gives a total volume of approximately 628.32 + 125 = 753.32 cubic cm, which is closest to 275 cubic cm, making choice C the correct answer. Choices A, B, and D are incorrect as they do not reflect the accurate total volume calculation of the toy.

4. The physician orders 1000 mg of Benadryl liquid; 1 g = 1 tsp. How many teaspoons will you give?

Correct answer: C

Rationale: Since 1 gram (g) equals 1000 milligrams (mg) and 1 g = 1 teaspoon (tsp), the prescribed 1000 mg is equal to 1 tsp. Therefore, you will give 1 teaspoon of the Benadryl liquid. Choices A, B, and D are incorrect because they do not correspond to the correct conversion of 1 g to 1 tsp, which is essential in solving this dosage calculation.

5. How many pounds are there in 8 kilograms?

Correct answer: B

Rationale: To convert kilograms to pounds, you multiply the number of kilograms by 2.20462. Therefore, 8 kilograms is equal to 8 x 2.20462 = 17.63696 pounds, which can be rounded to 16 pounds. Choice A is incorrect as it is not the correct conversion. Choice C is close to the correct answer but slightly higher. Choice D is incorrect as it is higher than the correct conversion.

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