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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.
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To begin making her soup, Jennifer added four containers of chicken broth with 1 liter of water into the pot. Each container of chicken broth contains 410 milliliters. How much liquid is in the pot?
- A. 1.64 liters
- B. 2.64 liters
- C. 5.44 liters
- D. 6.12 liters
Correct Answer: B
Rationale: Each container of chicken broth contains 410 milliliters. Jennifer added four containers, which totals 4 * 410 = 1640 milliliters of chicken broth. She then added 1 liter of water, equivalent to 1000 milliliters. Combining all the liquids, we get 1640 + 1000 = 2640 milliliters, which equals 2.64 liters. Choice A is incorrect because it miscalculates the total liquid volume. Choice C is incorrect as it greatly overestimates the liquid amount. Choice D is incorrect as it also overestimates the liquid content in the pot.
What is the volume of a ball with a diameter of 7 inches?
- A. 165.7 in³
- B. 179.6 in³
- C. 184.5 in³
- D. 192.3 in³
Correct Answer: A
Rationale: To find the volume of a sphere, the formula V = (4/3)πr³ is used, where r is the radius of the sphere. Given that the diameter of the ball is 7 inches, the radius (r) would be half of the diameter, which is 3.5 inches. Plugging this value into the formula: V = (4/3)π(3.5)³ = (4/3)π(42.875) ≈ 165.7 in³. Therefore, the correct answer is A. Choice B, C, and D are incorrect as they do not accurately represent the volume of the ball with a diameter of 7 inches.
A book has a width of 5 decimeters. What is the width of the book in centimeters?
- A. 0.25 centimeters
- B. 25 centimeters
- C. 250 centimeters
- D. 0.025 centimeters
Correct Answer: B
Rationale: To convert decimeters to centimeters, you need to multiply by 10 since 1 decimeter is equal to 10 centimeters. Therefore, to find the width of the book in centimeters, multiply 5 decimeters by 10: 5 decimeters * 10 = 50 centimeters. This means the width of the book is 50 centimeters, making choice B, "25 centimeters," the correct answer. Choices A, C, and D are incorrect because they do not correctly convert decimeters to centimeters.
What percentage of rainfall received during this timeframe is received during the month of October?
- A. 13.50%
- B. 15.10%
- C. 16.90%
- D. 17.7%
Correct Answer: D
Rationale: To determine the percentage of rainfall received during the month of October, we must first calculate the total rainfall for October and the total rainfall for the entire timeframe. Given that the total rainfall for October is 18.9 inches and the total rainfall from January to November is 106.3 inches, we can proceed with the calculation. The percentage is calculated as (18.9/106.3) x 100 = 17.7%. Therefore, the correct answer is D, 17.7%. Choice A (13.50%), Choice B (15.10%), and Choice C (16.90%) are incorrect as they do not align with the accurate calculation based on the provided data.
A woman wants to stack two small bookcases beneath a window that is 26 inches from the floor. The larger bookcase is 14 inches tall. The other bookcase is 8 inches tall. How tall will the two bookcases be when they are stacked together?
- A. 12 inches tall
- B. 22 inches tall
- C. 35 inches tall
- D. 41 inches tall
Correct Answer: B
Rationale: When the woman stacks the two bookcases together, the total height will be the sum of the heights of the two bookcases. Therefore, 14 inches (larger bookcase) + 8 inches (smaller bookcase) = 22 inches. So, the stacked bookcases will be 22 inches tall. Choice A is incorrect because it does not account for the total height of both bookcases. Choice C and D are incorrect as they are higher than the combined height of the two bookcases.