The cost of renting a car is $50 per day plus $0.25 per mile driven. If a customer rents the car for 3 days and drives 120 miles, what is the total cost?
- A. $156
- B. $190
- C. $165
- D. $210
Correct Answer: A
Rationale: To calculate the total cost, first, multiply the number of days by the cost per day: 3 days x $50/day = $150. Then, multiply the number of miles driven by the cost per mile: 120 miles x $0.25 = $30. Finally, add the two amounts together: $150 (daily cost) + $30 (mileage cost) = $180. Therefore, the correct total cost is $180, which corresponds to choice A. The other choices are incorrect because they do not reflect the accurate calculation of $150 for the daily cost and $30 for the mileage cost.
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What was the mean time for the women who ran the 200m event at the 2008 Olympic Games (times in seconds: 22.33, 22.50, 22.50, 22.61, 22.71, 22.72, 22.83, 23.22)?
- A. 22.50 sec
- B. 22.66 sec
- C. 22.68 sec
- D. 22.77 sec
Correct Answer: C
Rationale: To find the mean time, you need to add all the times (22.33 + 22.50 + 22.50 + 22.61 + 22.71 + 22.72 + 22.83 + 23.22) and then divide by the total number of times (8). This calculation results in a mean time of 22.68 seconds. Choice A, 22.50 sec, is incorrect because it is the time of one of the runners, not the mean time. Choice B, 22.66 sec, and Choice D, 22.77 sec, are also incorrect as they are not the calculated mean of the given times.
Which of the following is listed in order from least to greatest? (-3/4, -7 4/5, -8, 18%, 0.25, 2.5)
- A. -3/4, -7 4/5, -8, 18%, 0.25, 2.5
- B. -8, -7 4/5, -3/4, 18%, 0.25, 2.5
- C. 18%, 0.25, -3/4, 2.5, -7 4/5, -8
- D. -8, -7 4/5, -3/4, 18%, 0.25, 2.5
Correct Answer: D
Rationale: To arrange the numbers from least to greatest, we first compare the integers, then the fractions, and finally the percentages and decimals. The correct order is -8, -7 4/5, -3/4, 18%, 0.25, 2.5. Choice A is incorrect because it incorrectly orders the fractions. Choice B is incorrect because it incorrectly places -8 after the fractions. Choice C is incorrect because it starts with the percentages instead of the integers, leading to an incorrect order.
What is the mode of the numbers in the distribution shown in the table?
- A. 1
- B. 2
- C. 3
- D. 4
Correct Answer: A
Rationale: The mode of a set of numbers is the value that appears most frequently. In the distribution shown in the table, the number '1' occurs more times than any other number, making it the mode. Choices B, C, and D are incorrect because they do not represent the number that occurs most frequently in the dataset.
Which of the following is listed in order from least to greatest?
- A. -2 3/4, -2 7/8, -1/5, 2/5, 1/8
- B. -1/5, 1/8, 2/5, -2 3/4, -2 7/8
- C. -2 7/8, -2 3/4, -1/5, 1/8, 2/5
- D. 1/8, 2/5, -1/5, -2 7/8, -2 3/4
Correct Answer: C
Rationale: To determine the order from least to greatest, we can convert all fractions and mixed numbers to decimals or use a least common denominator. Converting the fractions in Choice C to decimals, we get -2.875, -2.75, -0.2, 0.125, and 0.4 when reading from left to right. Negative integers with larger absolute values are less than negative integers with smaller absolute values. Therefore, the correct answer is Choice C. Choices A, B, and D are incorrect because they do not present the numbers in the correct order from least to greatest when converted to decimals or compared using common denominators.
How many cubic inches of water could the aquarium hold if it were filled completely? (Dimensions: 30 in 10 in 12 in)
- A. 3600 cubic inches
- B. 52 cubic inches
- C. 312 cubic inches
- D. 1144 cubic inches
Correct Answer: A
Rationale: To find the volume of the aquarium, we multiply its length, width, and height. The formula for the volume of a rectangular solid is V = l w h. Substituting the given dimensions, we get V = 30 10 12 = 3600 cubic inches. Therefore, the aquarium can hold 3600 cubic inches of water. Choice B (52 cubic inches), Choice C (312 cubic inches), and Choice D (1144 cubic inches) are incorrect as they do not correctly calculate the volume of the aquarium based on its dimensions.
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