Nokea
How many meters are in 2 kilometers?
- A. 2000 meters
- B. 0.002 meters
- C. 20 meters
- D. 0.2 meters
Correct Answer: A
Rationale: To convert kilometers to meters, you need to multiply by 1000 because there are 1000 meters in 1 kilometer. Therefore, 2 kilometers is equal to 2 x 1000 = 2000 meters. The correct answer is 2000 meters. This conversion is a fundamental mathematical operation used across different fields, such as science, engineering, and day-to-day measurements, to accurately convert between larger and smaller units of length.
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Ratio and Proportion: 3: X = 5: 800. What is X? (Enter numeric value only.)
- A. 43.64
- B. 50
- C. 48.5
- D. 60
Correct Answer: A
Rationale: To find the value of X in the given ratio, set up the proportion: (3/X) = (5/800). Cross-multiply to solve for X: 3 — 800 = 5X. This simplifies to 2400 = 5X. Dividing both sides by 5 gives X = 2400/5 = 480. Therefore, the correct answer is A) 43.64.
What is the sum of 6 + 12.55 + 5.022?
- A. 18.55
- B. 23.572
- C. 30.572
- D. 16.575
Correct Answer: B
Rationale: To find the sum of 6, 12.55, and 5.022, add them together. 6 + 12.55 equals 18.55. Adding 5.022 to 18.55 gives a total of 23.572. Therefore, the correct answer is 23.572. The sum of these numbers is calculated by adding the individual values together while maintaining the decimal points in their respective places to get the correct total. It's essential to be precise with decimal numbers to ensure the accuracy of the final sum.
How many ounces are in 3 5/8 quarts?
- A. 32
- B. 116
- C. 96
- D. 928/8
Correct Answer: B
Rationale: To convert quarts to ounces, we use the conversion factor that 1 quart is equal to 32 ounces. To find how many ounces are in 3 5/8 quarts, first, we calculate the ounces in 3 quarts by multiplying 3 quarts by 32 ounces/quart, which equals 96 ounces. Then, we find the equivalent of 5/8 quart, which is 5/8 * 32 = 20 ounces. Adding the ounces from 3 quarts and 5/8 quart together, we get a total of 116 ounces. Therefore, the correct answer is 116 ounces.
Multiply: 39/54 x 6/13, reduced to lowest terms =
- A. 3\7
- B. 2\9
- C. 1\3
- D. 13\27
Correct Answer: C
Rationale: To multiply fractions, multiply the numerators together and the denominators together.
(39/54) x (6/13) = (39 x 6) / (54 x 13) = 234 / 702.
Reduce the fraction to lowest terms by dividing both numerator and denominator by their greatest common divisor, which is 234.
234 ÷ 234 = 1 and 702 ÷ 234 = 3.
So, the final answer is 1/3 (Choice C).
Choices A, B, and D are incorrect because they do not simplify to 1/3. Option A simplifies to 3/7, Option B to 2/9, and Option D to 13/27.
Ratio and proportion 0.1:10::x:400 =
- A. 25
- B. 5
- C. 50
- D. 4
Correct Answer: D
Rationale: To solve this proportion, we can set it up as 0.1/10 = x/400. Cross multiply to get x = (0.1 * 400)/10 = 4. Therefore, x equals 4, making choice D the correct answer. When solving proportions, it's crucial to maintain the same relationship between the numbers on both sides of the proportion. In this case, the ratio of 0.1 to 10 should be equal to the ratio of x to 400. By cross multiplying and simplifying, we find that x is 4, confirming choice D as the correct answer.