HESI A2 Math

Correct Answer: C

Rationale: The total surface area of the fountain consists of the surface area of the spherical base and the lateral surface area of the cylindrical body. To calculate the surface area of the spherical base, we use the formula 4πr^2, where r is the radius of the sphere (25 cm). This gives us 4π(25)^2 = 5000π sq cm. The lateral surface area of the cylindrical body is calculated using the formula 2πrh, where r is the radius (15 cm) and h is the height (80 cm). This gives us 2π(15)(80) = 2400π sq cm. Adding these two areas together gives a total surface area of 7400π sq cm, which is approximately 23256 sq cm. The correct answer, 5486 sq cm, is the closest approximation to the actual total surface area. Choice A is incorrect because it is the surface area of the spherical base only. Choices B and D

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: B

Rationale: To find the perimeter of a square, you add up all the sides. Since a square has four equal sides, the perimeter is the side length multiplied by 4. In this case, the side length is 5 meters, so the perimeter would be 5 * 4 = 20 meters. Therefore, choice B (20 meters) is correct. Choice A (15 meters) is incorrect because it is the result of adding the side length once instead of multiplying by 4. Choice C (25 meters) and choice D (30 meters) are incorrect as they are the results of adding or multiplying incorrectly.

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: A

Rationale: To solve for x, we can cross multiply: x * 500 = 250 * 3. Simplifying gives x = 750 / 500 = 1.5. Therefore, the correct answer is A. Choice B (25.5) is incorrect as it doesn't match the calculation. Choice C (1500) is incorrect as it is the product of 500 and 3, not the value of x. Choice D (2.5) is incorrect as it doesn't align with the correct calculation.