Nokea
Solve for x: 7:42 :: 4:x
- A. 12
- B. 48
- C. 24
- D. 16
Correct Answer: C
Rationale: To solve the analogy 7:42 :: 4:x, we first simplify the ratio 7:42 to 1:6 by dividing both numbers by 7. Maintaining the same simplification, we apply it to 4:x, resulting in 4:24. Therefore, x = 24, making choice C the correct answer as it completes the analogy.
You may also like to solve these questions
Find x: 40:5 = 60:x
- A. 7.5
- B. 1.5
- C. 12
- D. 15
Correct Answer: A
Rationale: To find the value of x in the proportion 40:5 = 60:x, you can cross multiply. This gives you 40 * x = 5 * 60, which simplifies to 40x = 300. To solve for x, divide both sides by 40, resulting in x = 300 / 40 = 7.5. Therefore, the correct answer is A, 7.5. The other choices can be eliminated by following the correct mathematical procedure. Choice B, 1.5, is incorrect as it does not satisfy the proportion equation. Choices C and D, 12 and 15, respectively, are also incorrect as they are not the solutions obtained by solving the proportion equation.
15:3 = x:5. Find the value of x. (Enter whole number only.)
- A. 20
- B. 25
- C. 30
- D. 35
Correct Answer: B
Rationale: To find the value of x, we can set up a proportion: 15/3 = x/5. Simplifying this, we get 5 = x/5. Multiplying both sides by 5 gives us x = 25. Therefore, the correct answer is B (25). Choice A (20) is incorrect because it does not satisfy the proportion. Choices C (30) and D (35) also do not fit the proportion and are therefore incorrect options.
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 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.
Divide: 413 divided by 0.05 =
- A. 7,350
- B. 73.5
- C. 8,260
- D. 82.6
Correct Answer: C
Rationale: To divide 413 by 0.05, we can rewrite 0.05 as 5/100 to make the division easier. Then, divide 413 by 5 and multiply the result by 100.
413 ÷ 5 = 82.6
82.6 x 100 = 8,260
Therefore, the correct answer is C: 8,260.
Choice A is incorrect as it does not result from the correct division process. Choice B is incorrect because it does not account for multiplying by 100 after dividing by 5. Choice D is incorrect as it is the result of dividing by 0.1 instead of 0.05.