HESI A2 Quizlet Math

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 solve this problem, we first find the total number of players on the team by setting up a proportion: 4 players represent 5%, so 1% is equal to 0.8 players. Thus, the total number of players is 4 divided by 0.05, which equals 80 players. Since 4 players have long hair, there are 80 - 4 = 76 players with short hair. The correct answer is C. Option A, B, and D are incorrect because they do not align with the calculated total number of players on the team.

Correct Answer: A

Rationale: 125% can be written as 125/100, which simplifies to 5/4 by dividing both numerator and denominator by the greatest common divisor (25). This is the correct fraction representation of 125%. Choice B (1/8) is incorrect as it represents 12.5%. Choice C (5/2) is incorrect as it represents 250%. Choice D (25/2) is incorrect as it represents 1250%.

Correct Answer: C

Rationale: To find the new dosage after a 20% increase, we first calculate 20% of the original dosage: 20% of 100mg = 0.2 * 100mg = 20mg. Then, we add this to the original dosage: 100mg + 20mg = 120mg. Therefore, the new dosage is 120mg (Choice C). Choices A, B, and D are incorrect because they do not reflect the correct calculation for a 20% increase from the original dosage of 100mg.

Correct Answer: D

Rationale: To convert yards to inches, we need to know that 1 yard is equal to 36 inches. So, to find out how many inches are in 2 yards, we multiply 2 by 36, which equals 72 inches. Therefore, the correct answer is D. Choice A (36 inches) is the equivalent of 1 yard, not 2 yards. Choice B (48 inches) and C (60 inches) are incorrect conversions of 2 yards to inches.