a nurse needs to dilute 2 milliliters of a concentrated medication with 8 milliliters of sterile water what is the final concentration of the solution
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HESI A2

HESI A2 Math 2024

1. A nurse needs to dilute 2 milliliters of a concentrated medication with 8 milliliters of sterile water. What is the final concentration of the solution in percent?

Correct answer: B

Rationale: To find the final concentration, first, calculate the total volume of the solution (2 ml + 8 ml = 10 ml). Then, determine the concentration by dividing the volume of the concentrated medication by the total volume and multiplying by 100%: (2 ml / 10 ml) * 100% = 20%. Therefore, the correct answer is B. Choice A (16.67%) is incorrect as it does not represent the correct calculation. Choices C (25%) and D (50%) are both incorrect as they do not reflect the accurate concentration resulting from the dilution process.

2. The physician ordered 20 mg of Tylenol per kg of body weight; on hand is 80 mg per tablet. The child weighs 12 kg. How many tablets will you give?

Correct answer: B

Rationale: To calculate the total dose of Tylenol for the child weighing 12 kg, multiply the weight by the ordered dose: 12 kg x 20 mg/kg = 240 mg. Since each tablet contains 80 mg of Tylenol, divide the total dose needed by the amount per tablet: 240 mg ÷ 80 mg/tablet = 3 tablets. Therefore, the correct answer is 3 tablets. Choices A, C, and D are incorrect because they do not reflect the accurate calculation for the number of tablets required based on the child's weight and the ordered dose per kg.

3. Convert 5 3/4 to a decimal. Round to the nearest tenth.

Correct answer: C

Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Therefore, the correct answer is 5.8. Choice A, 5.75, is the result before rounding to the nearest tenth. Choice B, 5.7, is incorrect as it does not account for the 0.05 difference when rounding. Choice D, 6, is the next whole number and is not the correct decimal equivalent of 5 3/4.

4. A store is offering a 25% discount on all items. If an item costs $120, what is the discounted price?

Correct answer: A

Rationale: To calculate the discounted price after a 25% discount on $120, you first find the discount amount by multiplying $120 by 0.25, which equals $30. Subtracting the discount amount from the original price gives the discounted price: $120 - $30 = $90. Therefore, the correct answer is $90. Choice B, $80, is incorrect as it does not consider the 25% discount. Choice C, $75, is incorrect as it is lower than the correct calculation. Choice D, $95, is incorrect as it does not reflect the reduction from the discount.

5. If a person can type 45 words per minute, how many words can they type in 20 minutes?

Correct answer: C

Rationale: To find out how many words a person can type in 20 minutes at a speed of 45 words per minute, you multiply the typing speed (45 words/minute) by the duration (20 minutes): 45 words/minute x 20 minutes = 900 words. Hence, the correct answer is 900 words. Choice A (800 words) is incorrect because it results from multiplying 45 words per minute by 18 minutes, not 20. Choice B (850 words) is incorrect as it is not the product of 45 words per minute and 20 minutes. Choice D (750 words) is incorrect because it is the outcome of multiplying 45 words per minute by 15 minutes, not 20.

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