Nokea
Ratio and Proportion: 0.5 : 20 :: X : 200
- A. X = 50
- B. X = 5
- C. X = 25
- D. X = 4
Correct Answer: B
Rationale: To find the value of X in the proportion 0.5 : 20 :: X : 200, you can set up the equation as (0.5/20) = (X/200). Cross-multiply to solve for X: 0.5 — 200 = 20 — X. This simplifies to X = (0.5 — 200)/20 = 5. Therefore, the correct answer is B, X = 5.
You may also like to solve these questions
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.
Compare the relationships of these numbers. ¼ is-------- than 2/24
- A. less than
- B. equal to
- C. greater than
Correct Answer: C
Rationale: To compare ¼ and 2/24, convert both fractions to have a common denominator. LCD is 24. ¼ = 6/24 and 2/24 = 2/24. 6/24 is greater than 2/24 since 6 is larger than 2. Therefore, the correct answer is C (greater than). Choice A (less than) and B (equal to) are incorrect as ¼ is larger than 2/24 when compared using the same denominator. Choice D is incomplete and doesn't provide any comparison.
A newborn's birth weight is recorded as 6,067 grams, and there are 453.59 grams in a pound. What is this infant's weight in pounds and ounces?
- A. 6 pounds, 13 ounces
- B. 13 pounds, 6 ounces
- C. 10 pounds, 13 ounces
- D. 6 pounds, 6 ounces
Correct Answer: B
Rationale: To convert 6,067 grams to pounds, divide by 453.59, giving 13.36 pounds. To find ounces, subtract the whole pounds (13) and multiply the decimal portion (0.36) by 16 (ounces in a pound), resulting in 5.76 ounces. Therefore, the infant's weight is 13 pounds and 5.76 ounces, which rounds to 13 pounds, 6 ounces (option B). Option A is incorrect as it doesn't account for the decimal portion of the pound. Option C is incorrect as it overestimates the weight. Option D is incorrect as it underestimates the weight by not considering the decimal portion.
25% of $506.50 =
- A. $126.64
- B. $126.63
- C. $136.64
- D. $323.46
Correct Answer: A
Rationale: To calculate 25% of $506.50, you multiply $506.50 by 0.25.
Step 1: $506.50 x 0.25 = $126.625
Step 2: Round to the nearest cent: $126.625 is closer to $126.63 than $126.64
Therefore, the correct answer is A: $126.64.
Choice B is incorrect as it is not the closest rounded value. Choice C is incorrect as it is not the correct calculation. Choice D is incorrect as it is not even close to the correct calculation.
What is 80% of 55?
- A. 45
- B. 44
- C. 40
- D. 39
Correct Answer: B
Rationale: To calculate 80% of a number, you multiply the number by 0.80 or 80/100. In this case, to find 80% of 55, you would do 55 * 0.80, which equals 44. Therefore, the correct answer is 44, corresponding to option B. When finding a percentage of a number, remember that you are essentially finding a fraction of that number based on the percentage given. In this case, 80% is the same as 80/100 or 0.80 as a decimal. Multiplying this by 55 gives you the result of 44. Therefore, option B is the correct answer.