Mathematics

Mathematics Related

Review Mathematics related questions and content

As the number of hours an employee works increases, the amount of taxes withheld, the amount of retirement savings withheld, and the number of sick leave hours granted increase. Which of the following is the independent variable?

  • A. Number of hours worked
  • B. Number of sick leave hours granted
  • C. Amount of retirement savings withheld
  • D. Amount of taxes withheld
Correct Answer: A

Rationale: The independent variable is the one that is changed or controlled in a scientific experiment. In this scenario, the number of hours worked is being manipulated, leading to variations in taxes withheld, retirement savings withheld, and sick leave hours granted. Therefore, the number of hours worked is the independent variable in this context. It drives the changes observed in taxes withheld, retirement savings withheld, and sick leave hours granted.

You may also like to solve these questions

What is the decimal form of 87.5%?

  • A. 0.875
  • B. 875
  • C. 8.75
  • D. 8,750
Correct Answer: A

Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. In this case, to convert 87.5% to a decimal, you move the decimal point two places to the left, resulting in 0.875. Therefore, the correct answer is A, 0.875, as it represents 87.5% in decimal form. Remember that the decimal form of a percentage is always less than 1, which is why choices B, C, and D are incorrect as they do not follow this conversion rule.

Which of the following values is the greatest?

  • A. 4.25
  • B. 2/9
  • C. 3/10
  • D. 4.4
Correct Answer: C

Rationale: By comparing these values, it is clear that 4.4 is greater than both 4.25 and the fractions 2/9 and 3/10 Therefore, Option D (4.4) is the greatest value among the options provided.

Which of the following is the total number of whole boxes that measure 2ft × 2ft × 2ft that can be stored in a room that measures 9ft × 9ft × 9ft, if the sizes of the boxes cannot be altered?

  • A. 18
  • B. 64
  • C. 125
  • D. 92
Correct Answer: B

Rationale: The volume of the room is 9ft × 9ft × 9ft = 729 cubic feet. Each box is 2ft × 2ft × 2ft = 8 cubic feet. 729 / 8 = 91 boxes (rounded down), meaning 64 whole boxes can fit.

A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?

  • A. $451
  • B. $527
  • C. $316
  • D. $431
Correct Answer: A

Rationale: To find the original price, start by letting x represent the original price. The sale price is 30% less than x, which means it is 70% of x (100% - 30% = 70%). After the additional 25% off coupon, the consumer pays 75% of the sale price (100% - 25% = 75%). Setting up the equation: 0.75 * 0.7 * x = $237. Solving for x gives x = $451, which is the original price of the recliner.

Which of the following is the correct decimal placement for the product of 1.3 × 0.47?

  • A. 0.611
  • B. 6.11
  • C. 0.00611
  • D. 0.0611
Correct Answer: A

Rationale: Multiplying 1.3 by 0.47 gives 0.611.

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