farmer juan has 14 acres with an average yield of 17460 eggs per acre the profit per egg is 165 what profit should farmer juan expect
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HESI A2

HESI A2 Math

1. Farmer Juan has 14 acres with an average yield of 17460 eggs per acre. The profit per egg is $1.65. What profit should Farmer Juan expect?

Correct answer: A

Rationale: To calculate Farmer Juan's profit, multiply the number of acres (14) by the yield per acre (17460 eggs) and by the profit per egg ($1.65): 14 acres * 17460 eggs * $1.65 = $403,326. Therefore, Farmer Juan should expect a profit of $403,326. Choice A is correct as it accurately calculates the total profit based on the given information. Choices B, C, and D are incorrect as they do not correctly compute the total profit from the provided data.

2. What is the result of adding 7/21 + 10/21?

Correct answer: A

Rationale: When adding fractions with the same denominator, you simply add the numerators while keeping the denominator the same. In this case, 7/21 + 10/21 = 17/21. Therefore, the correct answer is A. Choice B (15/21) is incorrect because it adds the numerators incorrectly. Choice C (9/21) is incorrect as it does not reflect the sum of the fractions provided. Choice D (10/21) is also incorrect as it does not represent the correct sum of the two fractions.

3. A nurse working at a medical clinic earns $17.81 per hour. The nurse works three 8-hour shifts and one 12-hour shift every week and is paid weekly. Weekly deductions include federal tax $102.80, state tax $24.58, federal insurance $18.13, and family health insurance $52.15. What is the nurse's take-home pay each week?

Correct answer: A

Rationale: To calculate the nurse's take-home pay, first determine the weekly gross income. The nurse works 3 shifts x 8 hours = 24 hours at $17.81 per hour plus 1 shift x 12 hours = 12 hours at $17.81 per hour, totaling 36 hours. Therefore, the gross income is 36 hours x $17.81 = $641.16. Next, subtract the weekly deductions: federal tax $102.80 + state tax $24.58 + federal insurance $18.13 + family health insurance $52.15 = $197.66. Deducting $197.66 from the gross income gives $641.16 - $197.66 = $443.50 as the nurse's take-home pay each week. Therefore, the correct answer is $443.50. Choice B ($450.00) is incorrect because it does not consider the specific deductions provided. Choices C ($500.00) and D ($430.00) are also incorrect as they do not reflect the accurate calculation based on the given information.

4. How many meters are in 2 kilometers?

Correct answer: C

Rationale: 1 kilometer equals 1,000 meters. Therefore, 2 kilometers equals 2,000 meters. Choice A, 100 meters, is incorrect as it represents only 1/10th of a kilometer. Choice B, 200 meters, is incorrect as it represents only 1/5th of a kilometer. Choice D, 3000 meters, is incorrect as it miscalculates the conversion from kilometers to meters.

5. Solve the proportion (find the value of x): 9:14 = x:56.

Correct answer: C

Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.

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