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 volume of an Egyptian model pyramid with a square base side length of 10cm and a height of 8cm?

Correct answer: D

Rationale: To find the volume of a pyramid, we use the formula: Volume = (1/3) * base area * height. First, calculate the base area by squaring the base side length: 10cm * 10cm = 100 sq cm. Substitute the values into the formula: Volume = (1/3) * 100 sq cm * 8cm = 80 cu cm. Therefore, the correct answer is 160 cu cm. Choices A, B, and C are incorrect because they do not correctly calculate the volume of the pyramid based on the given dimensions.

3. What is the result of dividing 4 7/8 by 1 1/6?

Correct answer: A

Rationale: To divide mixed numbers, convert them to improper fractions and then multiply by the reciprocal of the divisor. Here, 4 7/8 = 39/8 and 1 1/6 = 7/6. Dividing 39/8 by 7/6 gives 39/8 รท 7/6 = 39/8 * 6/7 = 234/56 = 4 5/28. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not represent the correct result of dividing 4 7/8 by 1 1/6.

4. A rectangular bandage measures 5cm by 8cm. What is the area covered by the bandage?

Correct answer: D

Rationale: Rationale: To find the area of a rectangle, you multiply the length by the width. In this case, the length of the bandage is 8cm and the width is 5cm. Area = length x width Area = 8cm x 5cm Area = 40cm^2 Therefore, the area covered by the bandage is 40cm^2.

5. Solve for x: 4x + 2 = 18.

Correct answer: B

Rationale: To solve for x, first, subtract 2 from both sides of the equation: 4x = 16. Then, divide by 4 to isolate x: x = 4. Choice A, x = 4, is the correct answer as calculated. Choice C, x = 5, is incorrect because the correct value of x is 4, not 5. Choice D, x = 3, is incorrect as well, as the correct value of x is 4, not 3.

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