HESI Mathematics

HESI Mathematics Related

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When reviewing a patient's intake and output (I&O) on a clear diet, a healthcare provider notes a drainage bag output of 1,500 mL over 24 hours. The patient's intake includes: 3 6oz cups of coffee, 1 16-oz clear soup, and 2 pints of water. What is the fluid deficit in milliliters?

  • A. 480ml
  • B. 840ml
  • C. 240ml
  • D. 460ml
Correct Answer: A

Rationale: To calculate the fluid deficit accurately, you must first convert the intake to milliliters: 3 cups of coffee x 6oz/cup = 532.8ml, 1 serving of clear soup = 473.2ml, and 2 pints of water = 946.4ml. The total intake is 1,952.4ml. Subtract the total output (1,500ml) from the total intake (1,952.4ml) to find the fluid deficit: 1,952.4ml - 1,500ml = 452.4ml. Therefore, the correct fluid deficit is 452.4ml, which rounds to the nearest tenth as 480ml. Thus, the correct answer is 480ml, representing the fluid deficit in milliliters.

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A woman ran a 24-mile course. She ran the first 6 miles in 1 hour, the second set of 6 miles in 1.2 hours, the third set of 6 miles in 1.5 hours, and the fourth set of 6 miles in 1.6 hours. How long did it take her to complete the course?

  • A. 5.3 hours
  • B. 5.4 hours
  • C. 4 hours
  • D. 5 hours
Correct Answer: A

Rationale: To find the total time taken to complete the 24-mile course, you add the time taken for each set of 6 miles: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours. Therefore, it took her 5.3 hours to complete the course. Each set of 6 miles is a segment of the total 24-mile course. By adding the time taken for each segment, you can determine the total time taken to complete the entire course.

A recipe calls for 1 1/2 cups of milk. This recipe calls for how many ounces of milk? (Enter numeric value only.)

  • A. 8
  • B. 10
  • C. 12
  • D. 16
Correct Answer: C

Rationale: Correct Answer: C (12 ounces)

Rationale:
1 1/2 cups of milk is equivalent to 12 ounces. To convert cups to ounces, we know that 1 cup equals 8 ounces. Therefore, 1 1/2 cups is 1 cup (8 oz) + 1/2 cup (4 oz) = 12 ounces in total.

Summary:
A: 8 ounces - Incorrect, 1 cup is 8 ounces, but this recipe requires 1 1/2 cups.
B: 10 ounces - Incorrect, not the correct conversion for 1 1/2 cups of milk.
D: 16 ounces - Incorrect, this is double the amount needed in the recipe.

Therefore, the correct answer is C (12 ounces) as it accurately converts 1 1/2 cups of milk to ounces.

Ratio and Proportion 15:1000::x:100 = ?

  • A. 1.5
  • B. 2
  • C. 1
  • D. 1.2
Correct Answer: C

Rationale: To solve this proportion, set up the equation: 15/1000 = x/100. Cross multiply to get 15 * 100 = 1000 * x. Simplifying gives x = 1. Therefore, the correct answer is 1. The ratio 15:1000 is equivalent to the ratio 1:67. By setting up the proportion, we find that x = 1, making Option C the correct answer. This question assesses your understanding of ratios and proportions. Remember, when solving proportions, cross multiplication is a useful method to find the unknown value. In this case, the proportion is between 15 and 1000 in the first set, and x and 100 in the second set. By applying the cross multiplication method, you can determine that x equals 1, making Option C the correct answer.

What is 126% as a decimal?

  • A. 126
  • B. 0.0126
  • C. 0.126
  • D. 1.26
Correct Answer: D

Rationale: To convert a percentage to a decimal, divide the percentage value by 100. In this case, 126% as a decimal is calculated as 126 · 100 = 1.26. Therefore, 126% is equal to 1.26 as a decimal. Remember that 126% represents 126 out of 100 parts, which is equivalent to 1.26 in decimal form.

How many meters are in 3 kilometers? (Enter a numeric value only.)

  • A. 300
  • B. 3000
  • C. 30
  • D. 3
Correct Answer: B

Rationale: To convert kilometers to meters, remember that 1 kilometer is equivalent to 1,000 meters. Therefore, to determine how many meters are in 3 kilometers, you multiply 3 (kilometers) by 1,000 (meters), resulting in 3,000 meters. The correct answer is 3,000 meters, which corresponds to option B.

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