HESI A2 Math

Correct Answer: B

Rationale: To find the number of girls in the school, we first calculate 60% of 500 students: 60/100 * 500 = 0.6 * 500 = 300 girls. Therefore, the correct answer is B: 300 girls. Choice A (250 girls) is incorrect as it represents 50%, not 60%. Choices C (200 girls) and D (350 girls) are also incorrect as they do not reflect the correct calculation of 60% of the total students.

Correct Answer: D

Rationale: To divide mixed numbers, convert them to improper fractions, then multiply by the reciprocal of the divisor. 4 7/8 = 39/8 1 1/6 = 7/6 (39/8) ÷ (7/6) = (39/8) * (6/7) = 234/56 = 4 5/28 Therefore, the correct answer is D: 4 & 5/28. Choice A is incorrect as it doesn't represent the correct division result. Choices B and C are also incorrect because they do not match the calculated result of 4 5/28.

Correct Answer: A

Rationale: To find the area of a rectangle, you multiply its length by its width. In this case, the length is 12 meters and the width is 10 meters. So, Area = Length x Width = 12m x 10m = 120 square meters. Choice A is correct as it correctly calculates the area. Choices B, C, and D are incorrect as they do not correctly calculate the area based on the given dimensions.

Correct Answer: B

Rationale: To solve the expression (x+44)/2x when x=11: 1. Substitute x=11: (11+44)/2*11 2. Simplify: (55)/22 = 2.5 Therefore, the correct answer is B. Other choices are incorrect because they do not correctly simplify the expression given x=11. Choice A simplifies it incorrectly, choice C and D do not simplify it at all.

Correct Answer: A

Rationale: To find the new width, we need to use the concept of proportionality. Since the height is increasing from 15 inches to 4 feet (48 inches), we set up the proportion: 15/width = 48/new width. Solving for the new width, we get width = (15 * new width) / 48. Given the new height is 4 feet, we substitute 48 for the new height: width = (15 * new width) / 48 = (15 * new width) / 48 = 4.2 feet. Therefore, the correct answer is A: 2.1 feet. Choices B, C, and D are incorrect as they do not align with the proportionality calculation.