HESI A2 Math

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.

Correct Answer: C

Rationale: To find the GCF of 12 and 18, list the factors of each: 12: 1, 2, 3, 4, 6, 12; 18: 1, 2, 3, 6, 9, 18. The common factors are 1, 2, 3, and 6. The greatest common factor is the largest number that both 12 and 18 can be divided by without remainder, which is 6. Choice A (2) and B (3) are factors, but not the greatest common factor. Choice D (9) is a factor of 18 but not 12, so it cannot be the GCF.

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: B

Rationale: To calculate the profit: 1. Cost per stand = $35 2. Total cost for 7 stands = $35 * 7 = $245 3. Revenue from selling 11 paintings per stand = $5.50 * 11 = $60.50 per stand 4. Total revenue for 7 stands = $60.50 * 7 = $423.50 5. Profit = Total revenue - Total cost = $423.50 - $245 = $178.50 Summary: A: $245 - Incorrect. This is the total cost of the stands, not the profit. B: $178.50 - Correct. Calculated as total revenue minus total cost. C: $175 - Incorrect. Not considering the revenue generated from selling paintings. D: $423.50 - Incorrect. This is the total revenue, not the profit.

Correct Answer: A

Rationale: To solve for y in the equation 4y + 21/y when y = 3: 1. Substitute y = 3 into the equation: 4(3) + 21/3 = 12 + 7 = 19. Therefore, the correct answer is A (19). Explanation for other choices: B: 7.7 - Incorrect. Not the result of substituting y = 3. C: 23/3 - Incorrect. Not the simplified result of the equation. D: 11 - Incorrect. Not the result of substituting y = 3.