if randy sells 8 times as many vacuum cleaners as janice and janice sells 690 vacuum cleaners per year on average how many does randy sell each month
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HESI A2

HESI A2 Math

1. If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on average, how many does Randy sell each month?

Correct answer: B

Rationale: If Janice sells 690 vacuum cleaners per year, Randy sells 8 times that amount, which is 690 x 8 = 5,520 vacuum cleaners per year. To find out how many Randy sells each month, you divide 5,520 by 12 (months), which equals 460 vacuum cleaners per month. Therefore, Randy sells 5,520 vacuum cleaners per year divided by 12 months, which equals 460 vacuum cleaners per month. Choices A, C, and D are incorrect as they do not reflect the correct calculation based on the information provided.

2. How many liters are in 8,000 milliliters?

Correct answer: B

Rationale: There are 1,000 milliliters in a liter. To convert milliliters to liters, you divide by 1,000. Therefore, 8,000 milliliters ÷ 1,000 = 8 liters. This makes option B the correct answer. Option A, 0.8 liters, is incorrect as it is 1/10th of the correct answer. Option C, 0.8 liters (repeated), is also incorrect. Option D, 0.08 liters, is incorrect as it is 1/100th of the correct answer.

3. Add: 34 + 74 + 37 = ?

Correct answer: A

Rationale: To find the sum of the numbers 34 + 74 + 37, add them together: 34 + 74 + 37 = 145. Therefore, the correct answer is A. Choice B (155) is incorrect as it results from adding 34 + 74 + 37 incorrectly. Choice C (154) is incorrect as it is the result of adding the first two numbers correctly, but missing the addition of the third number. Choice D (135) is incorrect as it is the result of a calculation error, possibly adding the numbers in a different order.

4. The head nurse at the hospital has a team of six nurses and one phlebotomist. If the phlebotomist is responsible for 1/7 of the patients, what fraction of the patients is each nurse responsible for?

Correct answer: A

Rationale: The correct answer is A: 1/6. The phlebotomist is responsible for 1/7 of the patients, leaving 6/7 of the patients for the six nurses. To find out the fraction of patients each nurse is responsible for, divide the remaining patients (6/7) among the six nurses. This results in each nurse being responsible for 1/6 of the patients. Choice B, 1/7, is incorrect because that is the fraction assigned to the phlebotomist. Choices C and D, 1/8 and 1/5, are incorrect fractions and do not reflect the correct distribution of patients among the nurses.

5. A woman received a bottle of perfume as a present. The bottle contains 3/4 oz of perfume. How many milliliters is this?

Correct answer: B

Rationale: To convert ounces to milliliters, multiply the number of ounces by 29.5735. 3/4 oz × 29.5735 ≈ 22.5 mL. Therefore, the correct answer is 22.5 mL. Choice A (25 mL) is incorrect as it does not result from the correct conversion. Choices C (15 mL) and D (20 mL) are also incorrect conversions.

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