HESI Mathematics

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Multiply and reduce to lowest term: (2 x 5/8)

  • A. 3\4
  • B. 10\8
  • C. 5\8
  • D. 1 1/4
Correct Answer: D

Rationale: To multiply (2 x 5/8), first multiply the whole number 2 by the numerator 5 to get 10. Then, multiply the result by the denominator 8 to get 10/8. Simplify 10/8 to 1 1/4 by dividing the numerator by the denominator, resulting in 1 whole and 1/4 left over. Therefore, the correct answer is D.

Choice A (3/4) is incorrect because the multiplication result is not 3/4. Choice B (10/8) is incorrect as it represents the result before reducing to lowest terms. Choice C (5/8) is incorrect as it only represents the initial fraction being multiplied, not the final result after multiplication and simplification.

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What is the temperature in Fahrenheit when converted from 50°C? (Enter a numeric value only. If rounding is necessary, round to the nearest whole number.)

  • A. 150°F
  • B. 122°F
  • C. 120°F
  • D. 145°F
Correct Answer: B

Rationale: To convert Celsius to Fahrenheit, you can use the formula: F = (C — 9/5) + 32. Plugging in 50°C gives us (50 — 9/5) + 32 = 122°F. Therefore, the correct answer is 122°F. When converting temperatures between Celsius and Fahrenheit, it's important to remember the formula and apply it correctly. In this case, by substituting 50°C into the formula, it results in 122°F when rounded to the nearest whole number.

What is 54% of $789.56?

  • A. $426.36
  • B. $526.38
  • C. $363.20
  • D. $426.37
Correct Answer: A

Rationale: To calculate 54% of $789.56, you multiply $789.56 by 0.54 (which is the decimal form of 54%). This gives you approximately $426.36. Therefore, the correct answer is A, as it represents 54% of the given amount.

Report all decimal places: 3.7 + 7.289 + 4 =

  • A. 14.989
  • B. 5.226
  • C. 15
  • D. 15.07
Correct Answer: A

Rationale: To find the sum of 3.7, 7.289, and 4, add them together: 3.7 + 7.289 + 4 = 14.989. The correct answer is A, 14.989, as it accurately reports all decimal places in the sum. When adding numbers with decimal points, it is crucial to maintain the decimal precision to obtain the correct result. In this case, the sum includes three decimal places, so the answer should also have three decimal places to represent the precise result. Therefore, 14.989 is the accurate sum that includes all the decimal places present in the numbers being added.

How many grams are in 4 kilograms? (Enter numeric value only.)

  • A. 400
  • B. 4000
  • C. 40
  • D. 4
Correct Answer: B

Rationale: To convert kilograms to grams, you need to know that there are 1,000 grams in 1 kilogram. Therefore, to find out how many grams are in 4 kilograms, you multiply 4 (kilograms) by 1,000 (grams/kilogram), which equals 4,000 grams. Thus, the correct answer is 4000 grams, as there are 4,000 grams in 4 kilograms.

Add: 5 1/4 + 7 1/3 =

  • A. 11 2/7
  • B. 12 7/12
  • C. 11 5/12
  • D. 12 1/2
Correct Answer: B

Rationale: To add 5 1/4 and 7 1/3, first convert both fractions to have the same denominator. LCM of 4 and 3 is 12. So, 5 1/4 becomes 5 3/12 and 7 1/3 becomes 7 4/12. Adding these gives 12 7/12, which is choice B. This is correct because when you add fractions, you add the numerators while keeping the denominators the same.

Choice A (11 2/7) is incorrect as it doesn't account for the proper conversion and addition of fractions with a common denominator. Choice C (11 5/12) is incorrect as the addition was not done accurately. Choice D (12 1/2) is incorrect as it doesn't consider the fractions separately before adding.

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