HESI Mathematics

HESI Mathematics Related

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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.

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How many ounces are equivalent to 3 gallons?

  • A. 256 oz.
  • B. 42 oz.
  • C. 128 oz.
  • D. 384 oz.
Correct Answer: D

Rationale: To convert gallons to ounces, you need to know that 1 gallon is equal to 128 ounces. Therefore, to find out how many ounces are in 3 gallons, you multiply 3 (gallons) by 128 (ounces per gallon) which equals 384 ounces. Hence, the correct answer is 384 oz.

What is the result of adding 5 1/3 + 3 1/2?

  • A. 8 1/6
  • B. 8 2/3
  • C. 8 5/6
  • D. 9 1/6
Correct Answer: C

Rationale: To add mixed numbers, convert them to improper fractions. 5 1/3 = 16/3 and 3 1/2 = 7/2. Find a common denominator, in this case, 6: 16/3 = 32/6 and 7/2 = 21/6. Add the fractions: 32/6 + 21/6 = 53/6, which simplifies to 8 5/6. Therefore, the sum of 5 1/3 + 3 1/2 is 8 5/6.

Convert 8:44 P.M. to military time. (Enter the numerical value only.)

  • A. 2044
  • B. 2204
  • C. 1844
  • D. 2040
Correct Answer: D

Rationale: Correct Answer: D (2040)

Rationale:
1. Military time follows a 24-hour clock.
2. To convert 8:44 P.M. to military time, add 12 hours to the given time.
3. 8 + 12 = 20, so the hour becomes 20.
4. The minute remains the same, so it is 44.
5. Therefore, 8:44 P.M. in military time is 2044.

Summary:
A: 2044 - Incorrect, same as the correct answer but not in the 24-hour clock format.
B: 2204 - Incorrect, it would be the military time for 10:04 P.M.
C: 1844 - Incorrect, it is the original time in the 12-hour clock format, not converted to military time.

Subtract: 9/12 - 3/12

  • A. 1/3
  • B. 1/2
  • C. 1/4
  • D. 1/6
Correct Answer: B

Rationale: To subtract fractions with the same denominator, subtract the numerators. In this case, 9/12 - 3/12 = (9-3)/12 = 6/12. Then, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 6. Thus, 6/12 simplifies to 1/2.

What is the result of adding 6, 12.55, and 5.022 together?

  • A. 18.55
  • B. 23.572
  • C. 30.025
  • D. 16.575
Correct Answer: B

Rationale: To find the sum of 6, 12.55, and 5.022, you need to add them together. First, add 6 + 12.55 to get 18.55. Then, add 18.55 + 5.022 to get the final result. 18.55 + 5.022 equals 23.572. Therefore, the correct answer is 23.572, as it represents the sum of all three numbers.

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