HESI Mathematics

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A newborn's birth weight is recorded as 6,067 grams, and there are 453.59 grams in a pound. What is this infant's weight in pounds and ounces?

  • A. 6 pounds, 13 ounces
  • B. 13 pounds, 6 ounces
  • C. 10 pounds, 13 ounces
  • D. 6 pounds, 6 ounces
Correct Answer: B

Rationale: To convert 6,067 grams to pounds, divide by 453.59, giving 13.36 pounds. To find ounces, subtract the whole pounds (13) and multiply the decimal portion (0.36) by 16 (ounces in a pound), resulting in 5.76 ounces. Therefore, the infant's weight is 13 pounds and 5.76 ounces, which rounds to 13 pounds, 6 ounces (option B). Option A is incorrect as it doesn't account for the decimal portion of the pound. Option C is incorrect as it overestimates the weight. Option D is incorrect as it underestimates the weight by not considering the decimal portion.

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Evaluate ab^2 - ac if a=c, b=-4, and c=-5

  • A. 56
  • B. 63
  • C. -23
  • D. -5
Correct Answer: C

Rationale: To evaluate the expression ab^2 - ac when a=c, b=-4, and c=-5, substitute these values into the expression. We get (-4)(-5)^2 - (-5) = (-4)(25) + 5 = -100 + 5 = -95. Therefore, the correct answer is -95, not 63 as previously stated. Hence, the correct answer is option C, which is -95.

Subtract 12 - 7 4/5.

  • A. 5 & 1/5
  • B. 4 & 4/5
  • C. 5 & 4/5
  • D. 4 & 1/5
Correct Answer: D

Rationale: To subtract mixed numbers, align the whole numbers and fractions. First, subtract the whole numbers: 12 - 7 = 5. Then, subtract the fractions: 0/5 - 4/5 = -4/5. Combine the results: 5 - 4/5 = 4 & 1/5. Therefore, the correct answer is 4 & 1/5 (Choice D).

What is 3 percent of 60?

  • A. 0.18
  • B. 1.8
  • C. 18
  • D. 0.018
Correct Answer: B

Rationale: To find 3% of 60, you multiply 60 by 3% (or 0.03).
So, 60 x 0.03 = 1.8.
Therefore, the correct answer is B: 1.8.
Choice A (0.18) is incorrect as it represents 0.3% of 60. Choice C (18) is incorrect as it represents 30% of 60. Choice D (0.018) is incorrect as it represents 0.03% of 60.

How many liters are in 5000 milliliters? (Enter numeric value only.)

  • A. 0.5L
  • B. 50L
  • C. 5L
  • D. 500L
Correct Answer: C

Rationale: Correct Answer: C (5L)

Rationale:
1. 1 liter = 1000 milliliters.
2. To convert 5000 milliliters to liters, divide 5000 by 1000.
3. 5000 ml ÷ 1000 = 5 liters.
4. Therefore, there are 5 liters in 5000 milliliters.

Summary:
- A (0.5L): Incorrect, as dividing 5000 ml by 1000 equals 5L, not 0.5L.
- B (50L): Incorrect, as the conversion from milliliters to liters is 1:1000.
- D (500L): Incorrect, as dividing 5000 ml by 1000 equals 5L, not 500L.

20:5 = 30:x. Find the value of x. (Enter the numerical value only. Round to the nearest tenth.)

  • A. 5
  • B. 6
  • C. 7.5
  • D. 8
Correct Answer: C

Rationale: To find the value of x, set up the proportion: 20/5 = 30/x. Cross-multiply to get 20x = 150. Dividing both sides by 20 gives x = 7.5. Therefore, the value of x is 7.5 when rounded to the nearest tenth.

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