Nokea
Divide: 4 2/3 · 2 3/4 =
- A. 1 23/33
- B. 2 8/9
- C. 3 21/3
- D. 4 23/4
Correct Answer: A
Rationale: To divide mixed numbers, convert them to improper fractions. For 4 2/3, the improper fraction is 14/3, and for 2 3/4, it is 11/4. When dividing 14/3 by 11/4, you get 154/33, which simplifies to 4 22/33 or 1 22/33. Therefore, the correct answer is 1 23/33, which is represented in mixed number form as 1 23/33.
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Ratio and Proportion: 0.6:X = 0.3:2 (Enter numeric value only.)
- A. 2
- B. 4
- C. 3
- D. 5
Correct Answer: B
Rationale: To find the value of X, we set up a proportion: 0.6/X = 0.3/2. Cross multiply to get 0.6*2 = 0.3*X. Simplify to get 1.2 = 0.3*X. Divide both sides by 0.3 to solve for X, which gives X = 4. Choice B (4) is correct. Choices A, C, and D are incorrect as they do not match the calculated value of X when solving the proportion equation.
What is the result of subtracting 9 from 28.19?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To find the result of subtracting 9 from 28.19, you need to subtract 9 from 28.19. The calculation is 28.19 - 9 = 19.19. Therefore, the correct answer is D, 19.19. When subtracting a whole number from a decimal number, it is essential to align the decimal points and perform the subtraction correctly. In this case, the 9 is subtracted from the 0.19, resulting in the final answer of 19.19. It's crucial to pay attention to place value and the position of the decimal point to ensure the accuracy of the result.
If a die is rolled, what is the probability of getting an odd number?
- A. 50%
- B. 75%
- C. 16.70%
- D. 33%
Correct Answer: A
Rationale: When a fair six-sided die is rolled, there are 3 odd numbers (1, 3, 5) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an odd number is calculated by taking the number of favorable outcomes (3) divided by the total number of outcomes (6), which simplifies to 3/6 or 1/2, equivalent to 50%. Therefore, the correct answer is 50%. This means that when rolling a fair six-sided die, there is a 50% chance of getting an odd number.
In the ratio 0.6 : X :: 7 : 42, what is X?
- A. 3
- B. 3.6
- C. 4
- D. 4.2
Correct Answer: B
Rationale: To find the value of X in the given ratio, set up the proportion: (0.6/X) = (7/42). Simplifying this, we get (0.6/X) = (1/6). Cross multiplying gives 0.6 * 6 = X, which results in X = 3.6. Therefore, the correct answer is 3.6, representing the value of X in the given ratio.
Ratio and Proportion: 15:1000 :: X:100
- A. X = 7.5
- B. X = 6,666
- C. X = 0.15
- D. X = 1.5
Correct Answer: D
Rationale: To solve this proportion problem, we set up the ratio 15:1000 equal to X:100. This gives us (15/1000) = (X/100). Cross-multiplying, we get 15 — 100 = 1000X, which simplifies to 1500 = 1000X. Dividing both sides by 1000, we find X = 1.5. Therefore, the correct answer is X = 1.5.