how many liters are in 5000 milliliters
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HESI A2

HESI A2 Quizlet Math

1. How many liters are in 5000 milliliters?

Correct answer: A

Rationale: To convert milliliters to liters, you divide by 1000 since 1000 milliliters make up 1 liter. In this case, 5000 milliliters divided by 1000 milliliters per liter equals 5 liters (5000 mL ÷ 1000 mL/L = 5 L). Therefore, the correct answer is A: 5 liters. Choice B, 4 liters, is incorrect because 5000 milliliters is equivalent to 5 liters, not 4. Choice C, 6 liters, is incorrect as it is not the accurate conversion from milliliters to liters in this case. Choice D, 5.5 liters, is incorrect as it does not reflect the correct conversion of 5000 milliliters to liters, which is 5 liters.

2. What is 2/3 of 60 + 1/5 of 75?

Correct answer: B

Rationale: To solve the expression, first calculate 2/3 of 60 by multiplying 60 by 2/3, which equals 40. Then, calculate 1/5 of 75 by multiplying 75 by 1/5, which equals 15. Finally, add these results together: 40 + 15 = 55. Therefore, the correct answer is 55. Choice A (45) is incorrect because it seems to be the sum of the two fractions, not their individual calculations. Choice C (15) is incorrect because it only represents 1/5 of 75. Choice D (50) is incorrect as it might be a miscalculation of the sum of the two fractions.

3. What is 20% of 150?

Correct answer: B

Rationale: To find 20% of 150, you need to multiply 150 by 0.20: 150 × 0.20 = 30. Therefore, 20% of 150 is indeed 30. Choice A (25) is incorrect as it represents 20% of 125, not 150. Choice C (35) is incorrect as it represents more than 20% of 150. Choice D (20) is incorrect as it is the original percentage to find.

4. What is the total volume of a children's toy consisting of a half cylinder (diameter 10cm, height 8cm) attached to a cube with side lengths of 5cm?

Correct answer: C

Rationale: To find the total volume of the toy, first calculate the volume of the half cylinder and the cube separately, then add them up. The volume of the half cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get V = π(5^2)8 = 200π ≈ 628.32 cubic cm. The volume of the cube is found by V = s^3, where s is the side length. Substituting s = 5, we get V = 5^3 = 125 cubic cm. Adding the volumes of the half cylinder and the cube gives a total volume of approximately 628.32 + 125 = 753.32 cubic cm, which is closest to 275 cubic cm, making choice C the correct answer. Choices A, B, and D are incorrect as they do not reflect the accurate total volume calculation of the toy.

5. A diabetic patient's blood sugar is 180mg/dL. Their usual insulin dose is 1 unit per 40mg/dL above 100mg/dL. How much insulin should be administered?

Correct answer: B

Rationale: Rationale: 1. Calculate the excess blood sugar above 100mg/dL: 180mg/dL - 100mg/dL = 80mg/dL. 2. Determine the insulin dose based on the patient's usual insulin dose: 80mg/dL / 40mg/dL = 2 units. 3. Add the calculated insulin dose to the patient's usual insulin dose: 1 unit (usual dose) + 2 units (calculated dose) = 3 units. Therefore, the correct answer is 3 units of insulin should be administered to the diabetic patient with a blood sugar level of 180mg/dL.

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