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. What is the result of dividing 40.3 by 4.8?

Correct answer: B

Rationale: To divide 40.3 by 4.8, you perform the calculation: 40.3 ÷ 4.8 ≈ 8.4. Therefore, the correct answer is 8.4. Choice A (7.5) is incorrect as it is the result of dividing 40.3 by 5.4. Choice C (6.2) is incorrect as it is the result of dividing 40.3 by 6.5. Choice D (9.1) is incorrect as it is the result of dividing 40.3 by 4.4.

3. If the quotient is 4 and the dividend is 12, what is the divisor?

Correct answer: C

Rationale: To find the divisor, you need to divide the dividend by the quotient. In this case, the dividend is 12 and the quotient is 4. Dividing 12 by 4 gives you the divisor, which is 3. Therefore, the correct answer is 4. Choices A, B, and D are incorrect because they do not result from dividing the dividend by the quotient in this scenario.

4. 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?

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.

5. Write the date 2007 in Roman numerals.

Correct answer: A

Rationale: In Roman numerals, the date 2007 is correctly represented as MMVII. The Roman numeral M stands for 1000, and when repeated twice (MM), it represents 2000. The Roman numeral V represents 5, and when followed by II (two ones), it correctly represents 2007. Choice B (MDVII) is incorrect because D represents 500, and 2007 is greater than that. Choice C (MMDII) is incorrect because D represents 500, and there are two of them, making it 1000, not 2000. Choice D (MMXD) is incorrect as XD is an invalid Roman numeral combination.

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