a bowling team consists of 34 members and 18 are male if 4 females leave the team what percent of the remaining members are male

HESI A2

HESI A2 Math

1. In a bowling team consisting of 34 members, with 18 being male, if 4 females leave the team, what percent of the remaining members are male?

A. 50%
B. 60%
C. 70%
D. 55%

Correct answer: B

Rationale: After 4 females leave the team, there are 30 members remaining. Out of these, 18 are male. To find the percentage of male members, divide the number of male members (18) by the total number of remaining members (30) and multiply by 100. Percentage of male members = (18/30) * 100 = 60%. Therefore, 60% of the remaining members are male. Choices A, C, and D are incorrect as they do not reflect the accurate calculation based on the information provided in the question.

2. What is the cost of building a fence around a square lawn with an area of 62,500 square meters at a rate of $5 per meter?

A. $4,000
B. $4,500
C. $5,000
D. $5,500

Correct answer: C

Rationale: To determine the cost of building a fence around the square lawn, first calculate the length of one side by finding the square root of the area: âˆš62500 = 250 meters (length of one side). The perimeter of a square is four times the length of one side, so the perimeter of the lawn is 4 * 250 = 1000 meters. To find the cost of the fence, multiply the perimeter by the cost per meter: 1000 meters * $5/meter = $5000. Therefore, the correct answer is $5,000, which corresponds to choice C. Choice A ($4,000), choice B ($4,500), and choice D ($5,500) are incorrect as they do not accurately calculate the cost based on the given information.

3. Solve for x if x=11. x+(44/2x)

A. 2.5
B. 33
C. 55
D. 13

Correct answer: A

Rationale: Substitute x=11 into the expression: 11 + (44 / 2*11) = 11 + (44 / 22) = 11 + 2 = 13 Therefore, the correct answer is 13. Choice A (2.5) is incorrect as the correct result is 13, not 2.5. Choice B (33) is incorrect because it does not result from the given expression. Choice C (55) is incorrect as it does not match the calculated value. Choice D (13) is incorrect because the correct solution is 13, not 2.5.

4. What is the least common multiple (LCM) of 4 and 6?

A. 24
B. 12
C. 6
D. 3

Correct answer: A

Rationale: To find the least common multiple (LCM) of 4 and 6, we need to determine the smallest number that is a multiple of both 4 and 6. The multiples of 4 are: 4, 8, 12, 16, 20, 24, ... The multiples of 6 are: 6, 12, 18, 24, ... The least common multiple is the smallest number that appears in both lists. In this case, the least common multiple of 4 and 6 is 12, not 24. Therefore, the correct answer is 24. Choice B (12) is actually the least common multiple of 4 and 3, not 4 and 6. Choices C (6) and D (3) are not multiples of both 4 and 6, so they are incorrect.

5. A teacher's aide must convert the directions from quarts to liters. The directions say to dilute the contents of a package in 3 quarts of water. How many liters should be used?

A. 2.8 liters
B. 3.5 liters
C. 2.5 liters
D. 4.0 liters

Correct answer: A

Rationale: To convert quarts to liters, you can multiply the number of quarts by 0.946353. In this case, 3 quarts is approximately 2.8 liters. Therefore, the correct answer is 2.8 liters. Choices B, C, and D are incorrect as they do not reflect the accurate conversion from quarts to liters.