HESI Mathematics

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A mother is planning a birthday party for her son and she wants to give each child 15 balloons. There are 50 balloons in each packet she purchases. How many packets of balloons does she need to purchase for a party of 16 children?

  • A. 50
  • B. 6
  • C. 5
  • D. 17
Correct Answer: C

Rationale: First, calculate the total number of balloons needed: 15 balloons/child * 16 children = 240 balloons. Next, divide by the number of balloons per packet: 240/50 = 4.8 packets. Since she cannot purchase a fraction of a packet, she needs to round up to the nearest whole number. Therefore, she needs to purchase 5 packets to have enough balloons for the party. Hence, the correct answer is C) 5.

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

  • A. 56
  • B. 105
  • C. -23
  • D. -5
Correct Answer: B

Rationale: To evaluate the expression "ab^2 - ac", substitute the values into the expression. Thus, "ab^2 - ac" becomes "(-5)(-4)^2 - (-5)(-5)", which simplifies to "(-5)(16) - 25 = -80 - 25 = -105". Therefore, the evaluated expression is -105.

If the quotient of X and 12 is 4, what is the divisor?

  • A. X+12
  • B. X-12
  • C. 4
  • D. 3
Correct Answer: C

Rationale: To find the divisor when the quotient of X and 12 is 4, we use the formula for division: Dividend = Divisor x Quotient. Given that the quotient is 4 and Dividend = X, we have X = 12 x 4 = 48. Therefore, the divisor is the number that, when multiplied by 4, equals 48, which is 12. So, the correct answer is C: 4.

Choice A (X+12) is incorrect because it represents adding X and 12 together, not the divisor.
Choice B (X-12) is incorrect because it represents subtracting 12 from X, not the divisor.
Choice D (3) is incorrect because it is not related to the given information about X and the quotient being 4.

Change 0.26 to a fraction =

  • A. 7/8
  • B. 13/50
  • C. 26/100
  • D. 2 6/10
Correct Answer: B

Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.26 can be written as 26/100. To simplify, divide both the numerator and the denominator by their greatest common factor, which is 2. This simplifies to 13/50, making it the correct fraction equivalent of 0.26. Therefore, the correct answer is 13/50.

What is 7/8 + 9/10 + 6/5 as a mixed number?

  • A. 3 22/23
  • B. 3 39/40
  • C. 22/23
  • D. 2 39/40
Correct Answer: A

Rationale: To add these fractions, first find a common denominator, which is 40 in this case. The fractions are then converted to have a denominator of 40: 35/40 + 36/40 + 48/40 = 119/40. On simplification, 119/40 equals 2 39/40. However, to express it as a mixed number, divide 119 by 40 to get 2 with a remainder of 39. Therefore, the correct mixed number form is 3 22/23.

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.

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