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.
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What temperature in Fahrenheit is 50 degrees Celsius? (Enter a numeric value only. If rounding is necessary, round to the nearest whole number.)
- A. 150°F
- B. 122°F
- C. 120°F
- D. 145°F
Correct Answer: B
Rationale: To convert Celsius to Fahrenheit, use the formula: F = (C — 9/5) + 32. Substituting C = 50 into the formula, we get F = (50 — 9/5) + 32 = 90 + 32 = 122°F. Therefore, 50 degrees Celsius is equivalent to 122 degrees Fahrenheit. The correct answer is B, 122°F.
What is the result of adding 6 3/4 and 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, convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Find a common denominator, which is 12. Add the fractions: 27/4 + 49/6 = 81/12 + 98/12 = 179/12. Convert the improper fraction back to a mixed number: 179/12 = 14 11/12. Therefore, the correct result of adding 6 3/4 and 8 1/6 is 14 11/12. The sum of the two mixed numbers is expressed as 14 11/12.
Ratio and Proportion: 4:10 :: 5:X
- A. X = 10.5
- B. X = 20
- C. X = 12.5
- D. X = 25
Correct Answer: C
Rationale: To solve for X in the given ratio and proportion, set up the proportion: (4/10) = (5/X). Cross-multiply to get 4X = 50, leading to X = 12.5. So, the correct answer is X = 12.5, making choice C the correct option.
A salesman needs to sell 63 items to make his monthly goal. There are eighteen selling days left in the month. What is the average number of items he needs to sell daily to reach his goal?
- A. 4
- B. 3.5
- C. 7
- D. 8.5
Correct Answer: B
Rationale: Correct Answer: B (3.5)
Rationale:
1. 63 items to be sold in 18 days.
2. Calculate average items per day: 63 items ÷ 18 days = 3.5 items/day.
3. Hence, the salesman needs to sell 3.5 items daily to reach his goal.
Summary:
- Choice A (4): Incorrect, as the actual average is 3.5 items/day.
- Choice C (7): Incorrect, as it is double the correct average.
- Choice D (8.5): Incorrect, as it is more than double the correct average.
Change 0.004 to a ratio.
- A. 3:5
- B. 4/1000
- C. 1:250
- D. 2/500
Correct Answer: C
Rationale: To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.
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