Nokea
Change 0.004 to a ratio.
- A. 1:250
- B. 17:40
- C. 9:20
- D. 20:40
Correct Answer: A
Rationale: To convert 0.004 to a ratio, first express it as a fraction. 0.004 = 4/1000 = 1/250. Therefore, the ratio is 1:250. Choice A is the correct answer. Choices B, C, and D are incorrect ratios as they do not represent the equivalent fraction of 0.004.
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Convert 9/10 to a decimal.
- A. 0.7
- B. 0.8
- C. 0.9
- D. 1
Correct Answer: C
Rationale: To convert 9/10 to a decimal, divide 9 by 10: 9 · 10 = 0.9. The correct answer is 0.9. Choice A (0.7) is incorrect as 7/10 is equal to 0.7. Choice B (0.8) is incorrect as 8/10 is equal to 0.8. Choice D (1) is incorrect as 10/10 would be equal to 1.
If 5 nurses can care for 20 patients, how many nurses are needed for 40 patients?
- A. 7
- B. 8
- C. 9
- D. 10
Correct Answer: B
Rationale: If 5 nurses can care for 20 patients, it means each nurse is responsible for 20/5 = 4 patients. To care for 40 patients, we divide the total patients by the number of patients each nurse can care for: 40/4 = 10 nurses. Therefore, 10 nurses are needed for 40 patients. Among the options, the closest number is 8 nurses, making it the correct answer. Choice A, 7 nurses, is insufficient. Choice C, 9 nurses, exceeds the required amount. Choice D, 10 nurses, matches the total number of nurses required, not the closest, making it incorrect.
What is the volume of a birthday party hat with a cone-shaped top having a radius of 5cm and a height of 12cm?
- A. 60 cu cm
- B. 120 cu cm
- C. 150 cu cm
- D. 180 cu cm
Correct Answer: C
Rationale: To find the volume of a cone, we use the formula: (1/3) * π * (radius)^2 * height. Substituting the given values: (1/3) * π * (5cm)^2 * 12cm = 150 cu cm. Therefore, the correct answer is C. Choice A, B, and D are incorrect as they do not correspond to the correct calculation using the formula for the volume of a cone.
How many ounces are in 4 quarts?
- A. 64 ounces
- B. 128 ounces
- C. 32 ounces
- D. 16 ounces
Correct Answer: B
Rationale: The correct answer is B: 128 ounces. There are 32 ounces in a quart, so when you have 4 quarts, you multiply 4 by 32 to get the total number of ounces, which equals 128. Choices A, C, and D are incorrect because they do not reflect the correct conversion from quarts to ounces.
A car travels 240 miles in 4 hours. What is its speed in miles per hour?
- A. 50 mph
- B. 60 mph
- C. 55 mph
- D. 75 mph
Correct Answer: B
Rationale: To calculate speed, divide the distance traveled by the time taken: 240 miles · 4 hours = 60 mph. Therefore, the correct answer is B. Choice A (50 mph) is incorrect as it results from an incorrect calculation. Choice C (55 mph) and D (75 mph) are also incorrect because they are not the correct result of dividing 240 miles by 4 hours.