how many centimeters are there in 1 foot
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HESI A2

HESI A2 Math 2024

1. How many centimeters are there in 1 foot?

Correct answer: D

Rationale: To convert feet to centimeters, you need to consider that there are 2.54 centimeters in an inch. Since a foot is equal to 12 inches, you multiply 12 inches by 2.54 to get 30.48 centimeters. Therefore, there are 30.48 centimeters in 1 foot. Choice A (4.72 centimeters) is incorrect as it does not use the correct conversion factor. Choice B (10 centimeters) is incorrect as it is not the accurate conversion for 1 foot. Choice C (25.4 centimeters) is incorrect as it corresponds to 10 inches, not 1 foot.

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. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?

Correct answer: A

Rationale: To find how much more water is needed, subtract 1/3 cup from 4/5 cup. First, find a common denominator: The least common denominator between 5 and 3 is 15. Convert the fractions: 4/5 = 12/15, 1/3 = 5/15. Now, subtract: 12/15 - 5/15 = 7/15. Therefore, you need to add 7/15 cups of water. Choice B (2/3 cups) is incorrect because it does not represent the correct amount of additional water needed. Choice C (1/3 cups) is incorrect because this is the amount of water that was accidentally added. Choice D (1/15 cups) is incorrect as it does not reflect the correct calculation of the additional water required.

4. Convert 9/10 to a decimal.

Correct answer: C

Rationale: To convert 9/10 to a decimal, divide 9 by 10: 9 รท 10 = 0.9. The correct answer is 0.9. Choice A (0.7) is incorrect as 7/10 is equal to 0.7. Choice B (0.8) is incorrect as 8/10 is equal to 0.8. Choice D (1) is incorrect as 10/10 would be equal to 1.

5. A patient is prescribed 500 mg of medication, but the available tablets are 250 mg each. How many tablets should be given?

Correct answer: B

Rationale: To find out how many tablets of 250 mg are needed to reach a total of 500 mg, you divide the total prescribed dosage by the dosage per tablet. In this case, 500 mg / 250 mg per tablet = 2 tablets. Therefore, the correct answer is 2 tablets. Choice A (3 tablets) is incorrect because it would exceed the prescribed dosage. Choices C (4 tablets) and D (5 tablets) are incorrect as they would also provide more medication than needed.

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