convert 3 yards to feet
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HESI A2

HESI A2 Quizlet Math

1. How many feet are in 3 yards?

Correct answer: B

Rationale: To convert yards to feet, you multiply by 3, as 1 yard is equal to 3 feet. Therefore, 3 yards equals 3 x 3 = 9 feet. Choice A (18 feet) is incorrect because it multiplies by 2 instead of 3. Choice C (12 feet) is incorrect as it multiplies by 4 instead of 3. Choice D (27 feet) is incorrect as it multiplies by 9 instead of 3.

2. If the outside temperature on a sunny day is 82 degrees on the Fahrenheit scale, what is the approximate temperature on the Celsius scale?

Correct answer: C

Rationale: To convert Fahrenheit to Celsius, you can use the formula:

3. A woman received a bottle of perfume as a present. The bottle contains 3/4 oz of perfume. How many milliliters is this?

Correct answer: B

Rationale: To convert ounces to milliliters, multiply the number of ounces by 29.5735. 3/4 oz × 29.5735 ≈ 22.5 mL. Therefore, the correct answer is 22.5 mL. Choice A (25 mL) is incorrect as it does not result from the correct conversion. Choices C (15 mL) and D (20 mL) are also incorrect conversions.

4. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?

Correct answer: C

Rationale: Given expression: 3a^2 - 2ab + b^2. Substitute the values of a and b: 3(2)^2 - 2(2)(-3) + (-3)^2 = 3(4) + 12 + 9 = 12 + 12 + 9 = 24 + 9 = 33. Therefore, the value of the expression is 33, which corresponds to option C. Options A, B, and D are incorrect as they do not accurately evaluate the expression with the given values of a and b.

5. 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.

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