if a businesss operating expenses are 130000 per month how much money does the company spend on employee wages and beneits

ATI TEAS 7

TEAS Test Practice Math

1. If a business's operating expenses are $130,000 per month, how much money does the company spend on employee wages and benefits?

A. $43,333.33
B. $86,666.67
C. $52,000.00
D. $78,000.00

Correct answer: B

Rationale: To calculate the amount spent on employee wages and benefits, we need to find two-thirds (2/3) of the total operating expenses of $130,000. This equals $86,666.67, which is the correct answer. Choice A ($43,333.33) is incorrect as it represents one-third of the total expenses. Choice C ($52,000.00) and Choice D ($78,000.00) are also incorrect as they do not correspond to two-thirds of the total operating expenses.

2. What is a direct proportion? What is an inverse proportion?

A. Direct: Both quantities increase or decrease together; Inverse: When one quantity increases, the other decreases by the same factor
B. Direct: Both quantities decrease together; Inverse: When one quantity increases, the other increases
C. Direct: One quantity stays the same while the other increases; Inverse: Both quantities increase together
D. Direct: One quantity increases while the other decreases; Inverse: Both quantities decrease together

Correct answer: A

Rationale: In a direct proportion, both quantities increase or decrease together. This means that as one quantity goes up, the other also goes up, and vice versa. On the other hand, in an inverse proportion, when one quantity increases, the other decreases by the same factor. Therefore, choice A is correct as it accurately defines direct and inverse proportions. Choices B, C, and D are incorrect because they do not accurately describe the relationship between quantities in direct and inverse proportions.

3. Solve the equation 8x − 6 = 3x + 24. Which of the following is the correct solution?

A. x = 2.5
B. x = 3.6
C. x = 5
D. x = 6

Correct answer: D

Rationale: To solve the equation 8x − 6 = 3x + 24, start by adding 6 to both sides: 8x − 6 + 6 = 3x + 24 + 6, which simplifies to 8x = 3x + 30. Next, subtract 3x from both sides to get 5x = 30. Finally, divide both sides by 5 to solve for x: x = 6. Therefore, the correct solution is x = 6. Choices A, B, and C are incorrect because they do not result from the correct algebraic manipulation of the equation.

4. Calculate the sum of the numbers from 1 to 6:

A. 30
B. 21
C. 15
D. 13

Correct answer: B

Rationale: To find the sum of numbers from 1 to 6, we add them together: 1 + 2 + 3 + 4 + 5 + 6 = 21. Therefore, the correct answer is 21. Choice A (30) is incorrect because it is not the sum of the numbers 1 to 6. Choice C (15) is incorrect as it is the sum of numbers 1 to 5. Choice D (13) is incorrect as it is the sum of numbers 1 to 4, not 1 to 6.

5. What is 2.7834 rounded to the nearest tenth?

A. 2.7
B. 2.78
C. 2.8
D. 2.88

Correct answer: C

Rationale: To round 2.7834 to the nearest tenth, we look at the digit in the hundredths place, which is 8. Since 8 is greater than or equal to 5, the digit in the tenths place is rounded up. Therefore, 2.7834 rounded to the nearest tenth is 2.8. Choice A (2.7) is incorrect because rounding down would require the digit in the hundredths place to be less than 5. Choice B (2.78) is incorrect because rounding to the nearest tenth involves considering the digit in the hundredths place. Choice D (2.88) is incorrect as it goes beyond rounding to just the nearest tenth.