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How many liters are in 35 milliliters?
- A. 3.5
- B. 0.35
- C. 0.035
- D. 350
Correct Answer: C
Rationale: To convert milliliters to liters, you divide by 1000 since there are 1000 milliliters in a liter. Therefore, 35 milliliters is equal to 35/1000 = 0.035 liters. The correct answer is option C. Remember that when converting between milliliters and liters, you are essentially changing the unit of measurement, so the numerical value changes accordingly. It's important to understand these conversion factors to work accurately with different units of volume.
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Roger's car gets an average of 25 miles per gallon. If his gas tank holds 16 gallons, about how far can he drive on a full tank?
- A. 400 miles
- B. 100 miles
- C. 320 miles
- D. 41 miles
Correct Answer: A
Rationale: To find out how far Roger can drive on a full tank, you multiply the miles per gallon by the tank capacity: 25 miles/gallon x 16 gallons = 400 miles. Therefore, the correct answer is 400 miles. This calculation shows that Roger can drive 400 miles on a full tank of gas.
Express 0.608 as a percent.
- A. 6.08%
- B. 0.61%
- C. 608%
- D. 60.80%
Correct Answer: D
Rationale: To convert a decimal to a percent, multiply by 100. Therefore, 0.608 — 100 = 60.8%. Thus, the correct answer is D) 60.80%.
Express 0.9% as a decimal.
- A. 0.009
- B. 90
- C. 9
- D. 0.09
Correct Answer: A
Rationale: To convert a percentage to a decimal, divide by 100. In this case, 0.9% = 0.9 · 100 = 0.009. Therefore, the correct answer is A) 0.009, which represents 0.9% in decimal form.
Convert 0.75 to a ratio in simplest form.
- A. 5:07
- B. 3:04
- C. 7:05
- D. 0.09375
Correct Answer: B
Rationale: To convert 0.75 to a ratio in simplest form, we first need to express 0.75 as a fraction, which is 75/100 or 3/4. The ratio form of 3/4 is 3:4. Therefore, the correct answer is B. Choice A (5:07) is incorrect as it doesn't represent the correct ratio. Choice C (7:05) is also incorrect because it doesn't match the simplified form of 0.75. Choice D (0.09375) is incorrect as it is not in ratio form and does not represent the given decimal value correctly.
2.5:150 :: 20:x = ?
- A. X = 3000
- B. X = 1000
- C. X = 1500
- D. X = 1200
Correct Answer: D
Rationale: The analogy in the question presents the relationship between 2.5 and 150 as 2.5 multiplied by 60 equals 150. To find the value of x, we should determine what number, when multiplied by 20, equals x. Following the same pattern as the initial analogy, 20 multiplied by 60 equals 1200. Hence, x = 1200, making choice D the correct answer.