Nokea
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.
You may also like to solve these questions
Convert 0.60 to a ratio in simplest form.
- A. 3:5
- B. 2:50
- C. 2:6
- D. 1:6
Correct Answer: A
Rationale: To convert 0.60 to a ratio, start by expressing it as a fraction: 0.60 = 60/100. Then simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 20 in this case. Dividing 60 by 20 gives 3, and dividing 100 by 20 gives 5. Therefore, the simplified fraction is 3/5, which translates to the ratio 3:5 in simplest form.
What is 75 multiplied by 2.2 rounded to the nearest tenth?
- A. 34.1
- B. 34.09
- C. 35
- D. 34
Correct Answer: A
Rationale: To find the result of 75 multiplied by 2.2, we get 165. When rounded to the nearest tenth, 165 is 165.0. However, since the question asks for the result rounded to the nearest tenth, we look at the first decimal place, which is 0. Since 0 is less than 5, the tenths place remains the same as 0. Therefore, rounding 165 to the nearest tenth gives us 165.0, which can also be written as 165.0. Hence, the correct answer is 34.1 (Choice A), not 34.09 or 35 or 34.
What is the result of adding 6 3/4 and 8 1/6?
- A. 14 11/12
- B. 12 3/24
- C. 35/6
- D. 14 2/5
Correct Answer: A
Rationale: To add mixed numbers, convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Find a common denominator, which is 12. Add the fractions: 27/4 + 49/6 = 81/12 + 98/12 = 179/12. Convert the improper fraction back to a mixed number: 179/12 = 14 11/12. Therefore, the correct result of adding 6 3/4 and 8 1/6 is 14 11/12. The sum of the two mixed numbers is expressed as 14 11/12.
Change 0.004 to a ratio.
- A. 3:5
- B. 4/1000
- C. 1:250
- D. 2/500
Correct Answer: C
Rationale: To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.
What is the result of dividing 3.44 by 0.6?
- A. 11.41
- B. 5.73
- C. 2.33
- D. 0.57
Correct Answer: B
Rationale: To divide 3.44 by 0.6, align the decimal points by making the divisor a whole number: 3.44 · 0.6 = 3.44 · 0.60 = 5.73. Therefore, the correct answer is 5.73. When dividing decimal numbers, ensure the decimal points are aligned and then perform the division as if they were whole numbers. Adding a trailing zero to the dividend in this case makes the division easier and ensures the correct placement of the decimal point in the quotient. Remember, maintaining the alignment of decimal points is crucial to accurately dividing decimal numbers.