HESI A2 Math 2024

Correct Answer: C

Rationale: Given that a gross is equal to 12 dozen, 15 gross of eggs would be equal to 15 * 12 = 180 dozen eggs. Since the eggs are packaged in one dozen egg containers, Lanyard Farms would need 180 containers for a week's worth of eggs. Choice A (15) is incorrect as it represents the number of gross, not containers. Choice B (150) is incorrect as it miscalculates the total number of containers needed. Choice D (2,160) is incorrect as it overestimates the number of containers required.

Correct Answer: B

Rationale: The ratio given is 6:16, which can be simplified to 3:8 by dividing both sides by 2. This means that for every 3 surfers, there are 8 swimmers. To find a possible number of surfers and swimmers that fit this ratio, we can multiply both parts of the ratio by a common factor. Multiplying 3 and 8 by 24 gives us 72 surfers and 210 swimmers, which makes answer choice B the correct option. Choice A, C, and D do not reflect the ratio of surfers to swimmers given in the question.

Correct Answer: C

Rationale: To find the surface area of the cylinder, calculate the lateral surface area using the formula 2?rh, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get 2 * ? * 1 * 3 = 6? square meters. Since each can covers 10 sq m, divide the total surface area by the coverage area per can: 6? / 10 ≈ 1.9 cans. Since you can't buy a fraction of a can, you would need to round up, so you would need 2 cans to cover the entire exterior surface. Therefore, you would need 2 * 6 = 12 cans in total. Choices A, B, and D are incorrect as they do not consider the correct surface area calculation or the rounding up to the nearest whole number of cans required.

Correct Answer: D

Rationale: To convert meters to feet, you can use the conversion factor: 1 meter = 3.28084 feet. Therefore, for 6 meters: 6 3.28084 = 19.684 feet. Rounding to two decimal places, the answer is 19.68 feet. Choice D, 19.68 feet, is the correct conversion. Choice A, 1.83 feet, is incorrect as it seems to be a miscalculation. Choice B, 18.48 feet, is incorrect as it doesn't match the correct conversion. Choice C, 18.8 feet, is also incorrect as it is not the accurate conversion from 6 meters to feet.

Correct Answer: D

Rationale: To find the product of 12 and 15, you simply multiply them together. 12 multiplied by 15 equals 180. To express 180 as a decimal, you divide by 100. Therefore, the correct answer is 1.8. Choices A, B, and C are incorrect as they represent values that are not the correct result of multiplying 12 by 15 and converting it to a decimal.