HESI Mathematics

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Convert 0.07 to a ratio.

  • A. 7:10
  • B. 7:10,000
  • C. 7:1,000
  • D. 0.361111
Correct Answer: D

Rationale: To convert 0.07 to a ratio, we first need to express it as a fraction. 0.07 as a fraction is 7/100. To convert this to a ratio, we need to express it in the form of a ratio of two integers. Therefore, 7/100 can be simplified to 7:100. Hence, the correct answer is D: 7:100.

Explanation:
A) 7:10 - Incorrect. This ratio is not equivalent to 0.07.
B) 7:10,000 - Incorrect. This ratio is not equivalent to 0.07.
C) 7:1,000 - Incorrect. This ratio is not equivalent to 0.07.

Summary: The correct ratio for 0.07 is 7:100, which represents the equivalent proportion of the decimal value. Other choices are incorrect as they do not accurately represent the given decimal value.

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Ratio and Proportion: 3 : 10 :: 12 : X

  • A. X = 3.6
  • B. X = 40
  • C. X = 0.27
  • D. X = 2.5
Correct Answer: B

Rationale: To solve this proportion, set up the equation: 3/10 = 12/X. Cross-multiply to get 3X = 120. Dividing both sides by 3 gives X = 40. Therefore, the correct answer is B. X equals 40 to maintain the proportional relationship. The ratio 3:10 is equivalent to the ratio 12:40, hence X equals 40.

Which of the following decimals is the largest?

  • A. 0.6
  • B. 0.667
  • C. 0.0688
  • D. 0.68
Correct Answer: D

Rationale: To determine the largest decimal among the options, you need to compare them by looking at the digits after the decimal point. When comparing 0.6, 0.667, 0.0688, and 0.68, consider that 0.6 is equivalent to 0.600, 0.667 remains 0.667, 0.0688 is already in its most precise form, and 0.68 is the same as 0.680. By comparing them, you can see that 0.68 is the largest decimal among the options provided. Remember, when comparing decimals, it's important to line up the decimal points to make accurate comparisons.

An adult female states she weighs 55. What measurement is she describing?

  • A. Pounds
  • B. Ounces
  • C. Kilograms
  • D. Grams
Correct Answer: C

Rationale: When an adult states their weight as a whole number without a specified unit, it is commonly understood to be in kilograms. In this case, the adult female stating she weighs 55 is most likely referring to 55 kilograms. Therefore, the correct answer is C) Kilograms.

Multiply: (99)(0.56) =

  • A. 54.44
  • B. 56.44
  • C. 55.44
  • D. 57.44
Correct Answer: A

Rationale: To multiply decimals, first ignore the decimal points and multiply the numbers as whole numbers. Then, count the total number of decimal places in both factors (2 in this case) and place the decimal point in the product so that it has the same total number of decimal places. Therefore, (99)(0.56) = 5544. After placing the decimal point, the answer is 54.44. Therefore, the correct answer is A: 54.44.

Ratio and Proportion: 240 : X = 80 : 0.8 (Enter a numeric value only.)

  • A. 2.4
  • B. 3.2
  • C. 4
  • D. 1.6
Correct Answer: A

Rationale: To solve for X, set up the proportion: 240/X = 80/0.8. Cross-multiply to get 240 — 0.8 = 80 — X, which simplifies to 192 = 80X. Dividing both sides by 80 gives X = 192/80 = 2.4. Therefore, the correct answer is A) 2.4.

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