a square lawn has an area of 62500 square meters what will is the cost of building fence around it at a rate of 5 per meter
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HESI A2

HESI A2 Quizlet Math

1. 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?

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: √62500 = 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.

2. 30 1/2 - 13 3/4 = ?

Correct answer: A

Rationale: To solve the expression 30 1/2 - 13 3/4, first convert the mixed numbers to improper fractions. 30 1/2 is equivalent to 61/2 and 13 3/4 is equivalent to 55/4. Subtracting 55/4 from 61/2 gives 16 3/4, which is the correct answer. Choice B (17) is incorrect as the correct answer is a mixed number, not a whole number. Choice C (15 1/4) is incorrect as it doesn't result from subtracting the given fractions. Choice D (15) is incorrect; the correct answer is greater than 15.

3. Calculate: (88)(7.08) =

Correct answer: D

Rationale: To find the product of 88 and 7.08, simply multiply the two numbers: 88 x 7.08 = 623.04. Therefore, the correct answer is D. Choices A, B, and C are incorrect because they do not result from the correct multiplication of 88 and 7.08.

4. How many ounces are in 8 & 1/4 pints?

Correct answer: C

Rationale: To convert 8 1/4 pints to ounces, first convert the mixed number to an improper fraction: 8 1/4 = 33/4. There are 16 ounces in 1 pint. Now, multiply 33/4 by 16 ounces per pint: 33/4 x 16 = 132 ounces. Therefore, the correct answer is 132 oz. Choice A (136 oz) is incorrect because it does not result from the correct conversion. Choice B (128 oz) is incorrect as it is a miscalculation. Choice D (130 oz) is incorrect as well, not derived from the accurate conversion process.

5. If a package of 10 pencils is divided between every 2 students in a class with 20 students, how many pencils are needed?

Correct answer: D

Rationale: If 20 students are divided into pairs, there would be 10 pairs in total (20 students / 2 = 10 pairs). Since each pair receives 10 pencils, the total number of pencils needed is calculated by multiplying the number of pairs (10 pairs) by the number of pencils each pair receives (10 pencils per pair), resulting in 100 pencils required. Therefore, the correct answer is 100 pencils. Choices A, B, and C are incorrect because they do not consider the correct pairing of students or the total number of pencils needed for each pair.

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