HESI A2 Math

Correct Answer: B

Rationale: To find the percentage of remaining members who are male after 4 females leave, we first calculate the remaining total members: 34 - 4 = 30. Since 18 members are male, the percentage of males in the remaining team is (18 / 30) * 100% = 60%. Choice B is correct. Choice A (50%) is incorrect because there are more than 50% males in the remaining team. Choice C (70%) is incorrect as it overestimates the percentage of males after 4 females leave. Choice D (55%) is incorrect because the correct percentage is 60%, not 55%.

Correct Answer: D

Rationale: To convert 5 3/4 to a decimal, first convert the mixed number to an improper fraction: 5 * 4 + 3 / 4 = 23/4. Next, divide the numerator by the denominator: 23 ÷ 4 = 5.75. Since we are rounding to the nearest tenth, the answer is 5.8. Choice D (5.8) is correct because it correctly converts 5 3/4 to a decimal and rounds it to the nearest tenth. Choices A, B, and C are incorrect as they do not accurately represent the decimal equivalent of 5 3/4 when rounded to the nearest tenth.

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: B

Rationale: To find the time to wash 80 cars, we use the formula: Time = (Number of cars * Time taken for 1 car)/(Number of cars washed in that time). Time = (80 * 20)/(50) = 32 minutes. Choice B is correct. Choice A is incorrect as it assumes the time taken is constant. Choice C and D are incorrect as they do not consider the increase in the number of cars to be washed.

Correct Answer: A

Rationale: To determine the number of cakes he can bake, first, find how many cakes can be baked per cup of sugar (4 cakes/10 cups = 0.4 cakes/cup). Since the bag is half full, he has 15 cups of sugar (30 cups/2). So, he can bake 6 cakes (0.4 cakes/cup * 15 cups = 6 cakes). Therefore, the correct answer is A: 6 cakes. The other choices are incorrect because they do not align with the calculations based on the given information.