a cars gas tank is 34 full if the tank holds 16 gallons when full how many gallons are in the tank
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HESI A2

HESI A2 Math Practice Test 2022

1. If a car's gas tank is 3/4 full and the tank holds 16 gallons when full, how many gallons are in the tank?

Correct answer: A

Rationale: To find out how many gallons are in the tank when it is 3/4 full, you need to calculate 3/4 of 16 gallons. 3/4 of 16 is (3/4) x 16 = 12 gallons. Therefore, the car's gas tank contains 12 gallons when it is 3/4 full. Choice B (8 gallons) is incorrect because that would be 1/2 of the tank's capacity, not 3/4. Choice C (14 gallons) is incorrect as it exceeds the full capacity of the tank. Choice D (10 gallons) is incorrect as it is less than 3/4 of the tank's capacity.

2. 7:5=91:x. Find x.

Correct answer: A

Rationale: To solve the proportion 7:5=91:x, cross multiply to get 7x = 5 * 91. Then, solve for x by dividing both sides by 7, which gives x = 65. Therefore, the correct answer is x=65. Choice B, x=55, is incorrect because it does not satisfy the proportion equation. Choices C and D, x=75 and x=85, are also incorrect as they do not match the calculated value of x when the proportion is solved.

3. How many ounces are in 2 quarts?

Correct answer: D

Rationale: To convert quarts to ounces, you need to multiply by 32 (1 quart = 32 ounces). Therefore, 2 quarts x 32 ounces/quart = 64 ounces. Hence, there are 64 ounces in 2 quarts. Choices A, B, and C are incorrect because they do not reflect the correct conversion factor from quarts to ounces.

4. What is the result of the addition: 34 + 4 + 234?

Correct answer: D

Rationale: Adding the given numbers together: 34 + 4 + 234 = 272. The correct sum is 272. Choice A, 70.2, is incorrect as it does not reflect the accurate addition of the numbers. Choice B, 230.72, is incorrect as well. Choice C, 234.74, is also incorrect since the correct sum is 272, not 234.74.

5. 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.

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