HESI A2 Math

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: The correct answer is A (240 kilometers). To calculate the distance traveled, we multiply the speed of the train (80 km/h) by the time it travels (3 hours): 80 km/h x 3 hours = 240 kilometers. Therefore, the train will travel 240 kilometers in 3 hours. Choice B (160 kilometers) is incorrect because it does not accurately calculate the distance traveled by the train in 3 hours. Choice C (240 kilometers) is incorrect because it is identical to the correct answer, but the question does not have duplicate options. Choice D (210 kilometers) is incorrect because it is a different calculation result than the correct answer of 240 kilometers.

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: 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: 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