x81 927 find x
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Nursing Elites

HESI A2

HESI A2 Quizlet Math

1. 81:X::9:27. Find X.

Correct answer: B

Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.

2. Multiply: 22 × 75 = and express the answer in decimal form.

Correct answer: D

Rationale: The correct answer is D: 16.5. To find the product of 22 and 75, you multiply the two numbers together. Therefore, 22 × 75 = 1650, which is correctly represented as 16.5 in decimal form. Choices A, B, and C are incorrect as they do not reflect the correct decimal form of the product of 22 and 75. Choice A, 0.00165, is incorrect as it is a very small value that does not match the result of multiplying 22 and 75. Choice B, 0.0165, is also incorrect as it is one tenth of the correct answer. Choice C, 0.165, is incorrect as it is one hundredth of the correct answer. Therefore, the only correct representation in decimal form for the product of 22 and 75 is 16.5.

3. After putting ⅓ aside for her share of rent and utilities and spending $75 on groceries, what is left from her weekly paycheck?

Correct answer: A

Rationale: If she puts aside 1/3 of her paycheck for rent and utilities, this means she spends 3 portions in total. So, 1 portion represents 1/3 of the paycheck. Since she spends $75 on groceries, it leaves 2 portions. The total amount of 3 portions is the paycheck. To find out one portion, divide the total paycheck by 3: Paycheck = 3 portions. $75 is one portion. Multiply the one portion by 3 to find the total paycheck: $75 * 3 = $225. Subtract the spent amount from the weekly paycheck: $225 - $75 = $150. Therefore, the amount left from her weekly paycheck is $150. The other choices are incorrect because they do not follow the correct calculation based on the given information.

4. In your class, there are 48 students; 32 students are female. Approximately what percentage are male?

Correct answer: A

Rationale: In a class of 48 students, with 32 being female, the number of male students is 48 - 32 = 16. To calculate the percentage of male students, divide the number of male students (16) by the total number of students (48) and then multiply by 100 to get the percentage: (16 / 48) * 100 = 33%. Therefore, approximately 33% of the students in the class are male. Choices B, C, and D are incorrect because they do not reflect the correct calculation based on the given information.

5. How many ounces are in 4 quarts?

Correct answer: B

Rationale: The correct answer is B: 128 ounces. There are 32 ounces in a quart, so when you have 4 quarts, you multiply 4 by 32 to get the total number of ounces, which equals 128. Choices A, C, and D are incorrect because they do not reflect the correct conversion from quarts to ounces.

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