express the ratio of 67 as a percentage
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Nursing Elites

HESI A2

HESI A2 Math Portion

1. Express the ratio of 6:7 as a percentage.

Correct answer: A

Rationale: To express the ratio 6:7 as a percentage, we first need to find the total parts in the ratio, which is 6 + 7 = 13. To convert this ratio to a percentage, divide the part you want to find the percentage for by the total parts, then multiply by 100. In this case, to find the percentage for 6 in the ratio 6:7, the calculation would be (6/13) * 100 = 46.15%. Therefore, the correct answer is A, 67%. Choices B, C, and D are incorrect percentages as they do not result from the correct calculation for the given ratio.

2. The formula for calculating heart rate is HR = (220 - age) x 0.65. If a patient's heart rate is 136.5, what is their age?

Correct answer: C

Rationale: Rationale: Given formula: HR = (220 - age) * 0.65 Given heart rate: HR = 136.5 Substitute the given heart rate into the formula: 136.5 = (220 - age) * 0.65 Solve for age: 136.5 = 143 - 0.65age 0.65age = 143 - 136.5 0.65age = 6.5 age = 6.5 / 0.65 age = 10 Therefore, the patient's age is 50 (option C).

3. Convert to metric: 7 grams = x milligrams

Correct answer: C

Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. Therefore, 7 grams is equal to 7,000 milligrams. Choice A (700 mg) is incorrect because it represents grams to milligrams incorrectly. Choice B (0.7 mg) is incorrect as it converts grams to milligrams erroneously by decimal placement. Choice D (0.07) is incorrect as it converts grams to milligrams inaccurately by misplacing the decimal point.

4. Ratio and proportion: 6:10=24:x

Correct answer: A

Rationale: To solve for x, use cross-multiplication: 6x = 10 x 24 6x = 240 Now, divide both sides by 6 to find x: x = 240 / 6 = 40 Therefore, the correct answer is A. 40. Choice B, 25, is incorrect because it does not satisfy the proportion. Choice C, 240, is incorrect because it represents the value that is given in the proportion and not the value of x. Choice D, 4, is incorrect as it does not align with the correct calculation for x.

5. How many ounces are in a ton?

Correct answer: A

Rationale: The correct answer is A: 32,000 ounces. A ton is equivalent to 2,000 pounds. Since each pound contains 16 ounces, you can calculate the total number of ounces in a ton by multiplying 2,000 pounds by 16 ounces, which equals 32,000 ounces. Choice B (30,000 ounces), Choice C (35,000 ounces), and Choice D (40,000 ounces) are incorrect because they do not correctly calculate the number of ounces in a ton based on the conversion of pounds to ounces.

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