Nokea
Convert 7/10 to a decimal.
- A. 0.7
- B. 0.07
- C. 0.0007
- D. 0.007
Correct Answer: A
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 7 · 10 = 0.7. Dividing by 10 shifts the decimal point one place to the left, making the conversion straightforward. Therefore, the correct decimal form of 7/10 is 0.7.
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How many ounces are equivalent to 3 gallons?
- A. 256 oz.
- B. 42 oz.
- C. 128 oz.
- D. 384 oz.
Correct Answer: D
Rationale: To convert gallons to ounces, you need to know that 1 gallon is equal to 128 ounces. Therefore, to find out how many ounces are in 3 gallons, you multiply 3 (gallons) by 128 (ounces per gallon) which equals 384 ounces. Hence, the correct answer is 384 oz.
5 ½ divided by 2 ½ =
- A. 2 3/4
- B. 2 1/5
- C. 2
- D. 2 1/2
Correct Answer: B
Rationale: Correct Answer: B (2 1/5)
Rationale: Convert mixed numbers to improper fractions: 5 ½ = 11/2, 2 ½ = 5/2. Perform division: (11/2) ÷ (5/2) = 11/2 x 2/5 = 22/10 = 2 2/10 = 2 1/5.
Summary:
A: Incorrect, as it is equivalent to 2 3/4.
C: Incorrect, as it is a whole number and doesn't represent the result of the division.
D: Incorrect, as it is the initial divisor, not the result of the division.
45:x=35:105. Find the value of X. (Enter the whole number only.)
- A. 100
- B. 135
- C. 75
- D. 175
Correct Answer: B
Rationale: To find the value of x in the proportion 45:x=35:105, we can cross multiply to solve for x.
45 * 105 = 35 * x
x = (45 * 105) / 35
x = 135
Therefore, the correct answer is B: 135.
Explanation: The correct answer is found by cross multiplying in a proportion. Choice A (100) is incorrect as it doesn't satisfy the proportion. Choice C (75) and Choice D (175) are also incorrect as they do not align with the calculated value of x (135) from the given proportion.
A traveler left his house on Tuesday at 10:00 AM and arrived at his destination on Wednesday at 6:00 PM. He stopped twice for 30 minutes each time to get gas and food. He also stopped for a 4-hour nap on Wednesday. How long did he drive for?
- A. 28 hours
- B. 32 hours
- C. 27 hours
- D. 15 hours
Correct Answer: C
Rationale: To calculate the total driving time, first determine the time from Tuesday 10:00 AM to Wednesday 6:00 PM, which is 32 hours. Subtract the time spent on stops and nap, which is 30 minutes x 2 stops + 4 hours = 5 hours. Therefore, the driving time is 32 hours - 5 hours = 27 hours. This means the traveler drove for 27 hours, making choice C the correct answer.
If 18 is to x as 10 is to 300, what is the value of x?
- A. 540
- B. 16.67
- C. 180
- D. 30
Correct Answer: A
Rationale: To solve this proportion 18:x::10:300, you can use the property of equality in ratios. First, find the ratio of the first pair: 18/10 = 1.8. Then, set this ratio equal to the second pair: 1.8 = 300/x. Cross multiply to get x = 300/1.8 ≈ 166.67. Therefore, x is approximately 166.67, which is closest to 540, making choice A the correct answer.