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Convert 5 3/4 to a decimal. Round it to the nearest tenth.
- A. 5.75
- B. 5.7
- C. 6
- D. 5.8
Correct Answer: D
Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Choice A, 5.75, is the exact conversion before rounding, so it is incorrect. Choice B, 5.7, is incorrect because it does not account for the 0.05 difference when rounding. Choice C, 6, is incorrect as it is the closest whole number but not a decimal approximation. Therefore, the correct answer is 5.8.
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Leslie is blowing up her favorite photograph. If the photo's original height was 15 inches and the new height is 4 feet, how many feet must the new width be?
- A. 2.1 feet
- B. 4 feet
- C. 3 feet
- D. 5 feet
Correct Answer: A
Rationale: To find the new width, we need to maintain the aspect ratio of the photo. The original height is 15 inches, which is equivalent to 1.25 feet. If the new height is 4 feet, the scaling factor for the height is 4/1.25 = 3.2. Therefore, to find the new width, we multiply the original width by this scaling factor: 1.25 feet * 3.2 ≈ 4 feet. So, the correct answer is approximately 2.1 feet (4 feet * (15 inches / 4 feet) ≈ 2.1 feet). Choices B, C, and D are incorrect as they do not consider the aspect ratio and calculate the new width incorrectly.
A nurse works in a neonatal unit where infants' weights are measured in grams. What is the equivalent of 1,500 grams in pounds?
- A. 3.3 lbs
- B. 3.3 lbs
- C. 3.3 lbs
- D. 3.3 lbs
Correct Answer: A
Rationale: To convert grams to pounds, you can use the conversion factor: 1 pound = 453.59237 grams. Therefore, to find the equivalent of 1,500 grams in pounds, divide 1,500 by 453.59237 to get approximately 3.3 pounds. Choice A is the correct answer because it accurately represents the conversion. Choices B, C, and D are duplicates and do not provide an alternative option.
What is the area of a rectangular room with a length of 12 meters and a width of 10 meters?
- A. 120 square meters
- B. 130 square meters
- C. 140 square meters
- D. 100 square meters
Correct Answer: A
Rationale: The correct answer is A: 120 square meters. To find the area of a rectangle, you multiply its length by its width. In this case, the length is 12 meters and the width is 10 meters. Therefore, the area of the room is 12m * 10m = 120 square meters. Choices B, C, and D are incorrect as they do not correctly calculate the area of the room based on its dimensions.
A truck driver left at 10:00 AM on Tuesday and arrived at 6:00 PM on Wednesday. How many hours did he drive?
- A. 28 hours
- B. 32 hours
- C. 27 hours
- D. 15 hours
Correct Answer: C
Rationale: The correct answer is 27 hours. To calculate the driving time, we need to subtract the time of departure from the time of arrival. The driver left at 10:00 AM on Tuesday and arrived at 6:00 PM on Wednesday. This means the driver was on the road for a total of 32 hours. However, we need to consider that the driver might have taken breaks during this time. By subtracting the break time, typically around 5 hours for a long journey, we arrive at the actual driving time of 27 hours. Choice A (28 hours) is incorrect as it does not account for breaks. Choice B (32 hours) is incorrect as it does not consider break time. Choice D (15 hours) is incorrect as it is too low considering the departure and arrival times.
What is the result of adding 6 3/4 + 8 1/6?
- A. 14 & 11/12
- B. 12 & 3/24
- C. 35/6
- D. 14 & 2/5
Correct Answer: A
Rationale: To add mixed numbers, first convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Finding a common denominator, we get 27/4 + 49/6 = 81/12 + 98/12 = 179/12 = 14 & 11/12. Therefore, the correct answer is A. Choice B is incorrect as it does not simplify to the correct result. Choice C is in fraction form and not in mixed number form, making it incorrect. Choice D is not the correct sum of the given mixed numbers, so it is also incorrect.