Nokea
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.
You may also like to solve these questions
How many grams are in 2 kilograms?
- A. 20 grams
- B. 200 grams
- C. 2 grams
- D. 2,000 grams
Correct Answer: D
Rationale: Correct Answer: D (2,000 grams)
Rationale:
1. 1 kilogram = 1,000 grams.
2. To convert 2 kilograms to grams, multiply 2 by 1,000.
3. 2 x 1,000 = 2,000 grams.
Summary:
A: Incorrect; 2 kilograms is not equal to 20 grams.
B: Incorrect; 2 kilograms is not equal to 200 grams.
C: Incorrect; 2 kilograms is not equal to 2 grams.
How many cakes are needed to provide 24 servings for a class of 70 and a staff of 3?
- A. 4
- B. 2
- C. 3
- D. 5
Correct Answer: A
Rationale: To determine the number of cakes needed, calculate the total number of servings required. The class of 70 and staff of 3 total 73 people. Since each cake offers 24 servings, divide the total servings required by the servings per cake: 73 / 24 ≈ 3.04. Rounding up to the nearest whole number ensures enough servings, indicating that 4 cakes are needed to meet the demand for the class and staff.
Ratio and Proportion: 9 : X :: 5 : 300 (Enter numeric value only.)
- A. 450
- B. 540
- C. 600
- D. 480
Correct Answer: B
Rationale: To find the value of X in the proportion 9 : X :: 5 : 300, we can set up the equation (9/X) = (5/300) and cross-multiply. This gives us 9 * 300 = 5 * X. Simplifying further, we get X = (9 * 300) / 5 = 540. Therefore, the correct answer is 540, which is option B.
What is the result of multiplying 20.3 by 2? (Enter a numerical value only.)
- A. 40.5
- B. 40.6
- C. 41
- D. 39.5
Correct Answer: B
Rationale: To find the result of multiplying 20.3 by 2, you simply multiply the two numbers: 20.3 x 2 = 40.6. When multiplying decimals, multiply as if they were whole numbers and then adjust the decimal point in the product. In this case, the product is 40.6. Therefore, the correct answer is 40.6, rounded to the nearest tenth.
What is the result of subtracting 12.02 from 9.99?
- A. 7.97
- B. 2.03
- C. -2.03
- D. 3.17
Correct Answer: C
Rationale: To find the result of subtracting 12.02 from 9.99, you need to perform the operation 9.99 - 12.02, which equals -2.03. The correct answer is C, -2.03, because when subtracting a larger number from a smaller one, the result will be negative. Therefore, the correct calculation is 9.99 - 12.02 = -2.03. It's important to remember that when subtracting numbers, the order matters, and subtracting the larger number from the smaller one will result in a negative difference.