Nokea
Ratio and Proportion: 200:2::20:X (Enter numeric value only.)
- A. 2
- B. 0.2
- C. 4
- D. 10
Correct Answer: B
Rationale: Correct Answer: B (0.2)
Rationale:
To solve this proportion problem, we can set up the equation:
200/2 = 20/X
Simplify the left side:
100 = 20/X
Cross multiply to solve for X:
100X = 20
Divide by 100 to isolate X:
X = 20/100
X = 0.2
Summary:
- Choice A (2) is incorrect as it does not match the calculated value of X.
- Choice C (4) is incorrect as it is not the correct answer derived from the proportion.
- Choice D (10) is incorrect as it does not align with the calculated value of X.
You may also like to solve these questions
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.
What factor is used to convert pounds to kilograms?
- A. 0.22
- B. 2.2
- C. 22
- D. 220
Correct Answer: B
Rationale: To convert pounds to kilograms, the correct factor is 2.2. This conversion factor is used because 1 pound is approximately equal to 0.454 kilograms. Therefore, to convert from pounds to kilograms, you multiply the weight in pounds by 0.454 to get the weight in kilograms. In this case, the factor is the reciprocal of 0.454, which simplifies to approximately 2.2.
Evaluate ab^2-ac if a=c, b=-4, and c=-5
- A. 56
- B. 105
- C. -23
- D. -5
Correct Answer: B
Rationale: To evaluate the expression "ab^2 - ac", substitute the values into the expression. Thus, "ab^2 - ac" becomes "(-5)(-4)^2 - (-5)(-5)", which simplifies to "(-5)(16) - 25 = -80 - 25 = -105". Therefore, the evaluated expression is -105.
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.
What is the result of adding 9.98 and 0.065?
- A. 10.63
- B. 10.045
- C. 1.0063
- D. 998.065
Correct Answer: B
Rationale: To find the sum of 9.98 and 0.065, you align the decimal points and add the numbers as you would with whole numbers: 9.98 + 0.065 = 10.045. Therefore, the correct answer is B, which is 10.045. When adding decimal numbers, it's essential to keep the decimal points aligned to ensure an accurate sum. In this case, the sum is 10.045.