HESI A2 Math

Correct Answer: C

Rationale: To find the length of the second building's shadow, we can use the concept of similar triangles. The ratio of the first building's height to its shadow length is 1700/525. Since the second building is shorter, the ratio should remain the same. Cross-multiplying, we get (1700/525) = (1450/x), where x is the length of the shadow of the second building. Solving for x gives x = (1450*525)/1700 = 448.5 feet. Therefore, choice C is correct. Choices A, B, and D are incorrect because they do not correctly calculate the length of the shadow using the given information and the concept of similar triangles.

Correct Answer: C

Rationale: To produce 6 eggs, 2 chickens are needed in 24 hours. So, each chicken produces 3 eggs in 24 hours. To produce 24 eggs in 24 hours, you would need 8 chickens (24 eggs / 3 eggs per chicken = 8 chickens). Therefore, choice C (8) is the correct answer. Other choices are incorrect because they do not consider the ratio of chickens to eggs required accurately. Choice A (48) is too high, choice B (18) is based on an incorrect calculation, and choice D (6) is too low based on the given information.

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 make half of the recipe, you need to divide the original amount of sugar by 2. 2 cups of sugar divided by 2 equals 1 cup. Therefore, the correct answer is A: 1 cup. Choice B (1.5 cups) is incorrect because it is not half of 2 cups. Choice C (2 cups) is the original amount and not for making half the recipe. Choice D (0.5 cups) is also incorrect as it is not the correct amount for half of the original recipe.

Correct Answer: C

Rationale: To find the length of the second building's shadow, we can use the concept of similar triangles. The ratio of the first building's height to its shadow length is 1700/525. Since the second building is shorter, the ratio should remain the same. Cross-multiplying, we get (1700/525) = (1450/x), where x is the length of the shadow of the second building. Solving for x gives x = (1450*525)/1700 = 448.5 feet. Therefore, choice C is correct. Choices A, B, and D are incorrect because they do not correctly calculate the length of the shadow using the given information and the concept of similar triangles.