HESI A2 Math

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: 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: A

Rationale: To calculate the annual dividend Mr. Rogers receives for his 400 shares, we need to find the dividend per share first. For Mr. Parker, the dividend per share is $180/150 = $1.20. So, for Mr. Rogers, with 400 shares, his annual dividend would be 400 x $1.20 = $480. Therefore, the correct answer is A: $480. Summary: - B: $500 is incorrect because it is not the correct calculation based on the given information. - C: $450 is incorrect as it is not the correct calculation based on the given information. - D: $72,000 is incorrect as it is an excessively high amount and not a reasonable dividend for owning 400 shares.

Correct Answer: A

Rationale: To calculate the distance traveled by Train A, we use the formula Distance = Speed x Time. The time taken by the train is 3:15 - 1:45 = 1.5 hours. Therefore, Distance = 65 mph x 1.5 hours = 97.5 miles. Choice A is correct because it correctly calculates the distance using the speed and time provided. Choices B, C, and D are incorrect as they do not calculate the distance correctly based on the given information.

Correct Answer: B

Rationale: To calculate the profit: 1. Cost per stand = $35 2. Total cost for 7 stands = $35 * 7 = $245 3. Revenue from selling 11 paintings per stand = $5.50 * 11 = $60.50 per stand 4. Total revenue for 7 stands = $60.50 * 7 = $423.50 5. Profit = Total revenue - Total cost = $423.50 - $245 = $178.50 Summary: A: $245 - Incorrect. This is the total cost of the stands, not the profit. B: $178.50 - Correct. Calculated as total revenue minus total cost. C: $175 - Incorrect. Not considering the revenue generated from selling paintings. D: $423.50 - Incorrect. This is the total revenue, not the profit.