HESI Mathematics

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What is the result of adding 4.934, 7.1, and 9.08?

  • A. 21.114
  • B. 21.042
  • C. 20.214
  • D. 59.13
Correct Answer: A

Rationale: To find the sum of the numbers 4.934, 7.1, and 9.08, you simply add them together. 4.934 + 7.1 + 9.08 equals 21.114. Therefore, the correct answer is A, which represents the sum of the given numbers. When adding decimal numbers, it is essential to align the decimal points and add each place value carefully. In this case, adding the tenths, hundredths, and thousandths place values correctly leads to the sum of 21.114. Remember to pay attention to the position of the decimals and perform the addition accurately to get the correct total.

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Ratio and Proportion: 4:10 :: 5:X

  • A. X = 10.5
  • B. X = 20
  • C. X = 12.5
  • D. X = 25
Correct Answer: C

Rationale: To solve for X in the given ratio and proportion, set up the proportion: (4/10) = (5/X). Cross-multiply to get 4X = 50, leading to X = 12.5. So, the correct answer is X = 12.5, making choice C the correct option.

A person is advised by their healthcare provider to reduce their daily coffee consumption by 75%. If they typically drink 5 cups of coffee daily, how many ounces of coffee are they allowed to consume after following the advice?

  • A. 16
  • B. 10
  • C. 6
  • D. 8
Correct Answer: B

Rationale: To determine how much coffee the person can consume after reducing by 75%, first calculate 75% of 5 cups, which is 3.75 cups. Subtracting 3.75 from 5 gives 1.25 cups remaining. Since 1 cup equals 8 ounces, the person can have 1.25 cups x 8 ounces = 10 ounces of coffee daily after the reduction. Therefore, the correct answer is 10 ounces (Choice B).

Ratio and Proportion: 0.5:20 :: X:200

  • A. X = 50
  • B. X = 4
  • C. X = 5
  • D. X = 25
Correct Answer: A

Rationale: To solve this proportion problem, you need to set up the ratio 0.5/20 equal to X/200. Cross-multiply to solve for X, which gives you 0.5 — 200 = 20X. Simplifying this, you get 100 = 20X, and then by dividing both sides by 20, you find that X = 5. Therefore, the correct answer is A, X = 50.

If a person reads two chapters a day, each with 6 pages, and there are a total of 798 pages, how many days will it take to finish reading?

  • A. 133 days
  • B. 399 days
  • C. 66 1/2 days
  • D. 75 1/2 days
Correct Answer: C

Rationale: To determine the number of days required to finish reading the book, divide the total number of pages (798) by the number of pages read per day, which is 2 chapters x 6 pages = 12 pages per day. Therefore, 798 pages · 12 pages per day = 66.5 days. It will take approximately 66 1/2 days to complete reading the book at this pace.

If 18 is to x as 10 is to 300, what is the value of x?

  • A. 540
  • B. 16.67
  • C. 180
  • D. 30
Correct Answer: A

Rationale: To solve this proportion 18:x::10:300, you can use the property of equality in ratios. First, find the ratio of the first pair: 18/10 = 1.8. Then, set this ratio equal to the second pair: 1.8 = 300/x. Cross multiply to get x = 300/1.8 ≈ 166.67. Therefore, x is approximately 166.67, which is closest to 540, making choice A the correct answer.

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