HESI A2 Math

Correct Answer: B

Rationale: To find how many vacuum cleaners Randy sells per month, we first calculate the total annual sales for Janice: 690 vacuum cleaners per year. Since Randy sells 8 times as many, he sells 690 * 8 = 5,520 vacuum cleaners per year. To find monthly sales for Randy, we divide this by 12 (months in a year): 5,520 / 12 = 460 vacuum cleaners per month. Therefore, the correct answer is B: 5,520. Choice A (4,600) is incorrect because it does not account for Randy selling 8 times as many as Janice. Choice C (6,400) and choice D (8,320) are incorrect as they are not the result of the correct calculation based on the information provided in the question.

Correct Answer: A

Rationale: To find the time for 4 workers to build 3 play sets, we use the formula: Time = (Total work) / (Rate of work). Given 2 workers take 18 hours to build 1 play set, their combined rate is 1/18 play set per hour. For 4 workers, the rate is 4 times faster, so it's 4/18 play sets per hour. To build 3 play sets, the total work is 3. Thus, Time = 3 / (4/18) = 27 hours. Choice A is correct. Choices B, C, and D are incorrect as they do not account for the increased efficiency of having more workers.

Correct Answer: D

Rationale: First, calculate Claire's weekly calorie intake: 2,500 calories/day * 7 days = 17,500 calories/week. Since Alice consumes twice as many calories as Claire, she consumes 2 * 17,500 = 35,000 calories per week. Therefore, choice D is correct. Choices A, B, and C are incorrect because they do not account for Alice consuming twice as many calories as Claire.

Correct Answer: A

Rationale: To calculate Farmer Juan's profit, multiply the total number of eggs (14 acres * 17460 eggs/acre) by the profit per egg ($1.65). 14 acres * 17460 eggs/acre * $1.65 = $403,326. This is the correct answer as it calculates the total profit based on the given information. Choices B, C, and D are incorrect as they do not correctly calculate the total profit using the number of acres, yield per acre, and profit per egg provided in the question.

Correct Answer: C

Rationale: To find the perimeter of a square, we add up all four sides. Since the garden bed has a side length of 8 meters, each side is 8m. Therefore, the perimeter = 8m + 8m + 8m + 8m = 32m (Choice C). Choices A, B, and D are incorrect because they do not correctly calculate the total length of all four sides of the square.