HESI A2 Math

Correct Answer: C

Rationale: To find the length of the second building's shadow, we can use the concept of similar triangles. The ratio of the first building's height to its shadow length is 1700/525. Since the second building is shorter, the ratio should remain the same. Cross-multiplying, we get (1700/525) = (1450/x), where x is the length of the shadow of the second building. Solving for x gives x = (1450*525)/1700 = 448.5 feet. Therefore, choice C is correct. Choices A, B, and D are incorrect because they do not correctly calculate the length of the shadow using the given information and the concept of similar triangles.

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.

Correct Answer: B

Rationale: To solve the expression (x+44)/2x when x=11: 1. Substitute x=11: (11+44)/2*11 2. Simplify: (55)/22 = 2.5 Therefore, the correct answer is B. Other choices are incorrect because they do not correctly simplify the expression given x=11. Choice A simplifies it incorrectly, choice C and D do not simplify it at all.

Correct Answer: B

Rationale: To calculate the interest earned on a principal of $1,000 with a 5% annual interest rate, you multiply the principal by the interest rate: $1,000 x 0.05 = $50. Therefore, the correct answer is B, $50. Choice A is incorrect as it miscalculates the interest. Choice C overestimates the interest earned. Choice D is close, but $55 is not the correct calculation based on the given information.

Correct Answer: B

Rationale: The correct answer is B: Yes, it is within the normal range. A potassium level of 4.5 mmol/L falls within the normal range of 3.5 to 5.3 mmol/L. Therefore, it is not too low (Option A) or too high (Option C). Additional information is not required to determine that 4.5 mmol/L is within the normal range, making Option D incorrect.