HESI A2 Quizlet Math

Correct Answer: B

Rationale: To convert yards to feet, we know that 1 yard is equal to 3 feet. Therefore, to find out how many feet are in 3 yards, we multiply 3 (yards) by 3 (feet per yard), which equals 9 feet. So, the correct answer is B: 9 feet. A: 18 feet - Incorrect, as it doubles the correct answer. C: 12 feet - Incorrect, as it is derived from multiplying 3 yards by 4 feet instead of 3 feet. D: 27 feet - Incorrect, as it multiplies 3 yards by 9 feet, which is incorrect conversion.

Correct Answer: B

Rationale: To solve the equation 4y - 6 = 14 for y: 1. Add 6 to both sides: 4y = 20 2. Divide by 4 to isolate y: y = 5 Therefore, the correct answer is B. Choice A is incorrect as 4 is not the solution. Choices C and D are also incorrect as they do not satisfy the equation when substituted back in.

Correct Answer: C

Rationale: To convert quarts to gallons, we know that 1 gallon equals 4 quarts. Therefore, to find out how many gallons are in 16 quarts, we divide 16 by 4 which equals 4 gallons. So, the correct answer is C. Explanation of other choices: A: 1 gallon is not the correct answer because 16 quarts is more than 1 gallon. B: 8 gallons is incorrect as it does not align with the conversion factor of 1 gallon per 4 quarts. D: 4.5 gallons is incorrect as it is not the result of dividing 16 quarts by the conversion factor of 4 quarts per gallon.

Correct Answer: D

Rationale: To divide 40.3 by 4.8, we perform the division operation as follows: 40.3 ÷ 4.8 = 8.39583... Rounded to one decimal place, the result is 8.4, which is the correct answer (Choice D). Choice A (0.084) is incorrect as it is the result of dividing 40.3 by 480. Choice B (84) is incorrect as it is the result of multiplying 40.3 by 4.8. Choice C (0.84) is incorrect as it is close to the correct answer but not the precise result of the division.

Correct Answer: A

Rationale: To find the LCM of 4 and 6, identify the prime factors of each number: 4 = 2^2 and 6 = 2 * 3. The LCM includes all prime factors with the highest powers, so LCM(4, 6) = 2^2 * 3 = 12. Therefore, the correct answer is A (24), as it is the product of the prime factors 2^2 and 3, which is the least common multiple of 4 and 6. Choices B, C, and D are incorrect because they do not represent the correct combination of prime factors for the LCM of 4 and 6.