Nokea
Ratio and proportion: 6:10=24:x
- A. 40
- B. 25
- C. 240
- D. 4
Correct Answer: A
Rationale: To solve for x, use cross-multiplication:
6x = 10 x 24
6x = 240
Now, divide both sides by 6 to find x:
x = 240 / 6 = 40
Therefore, the correct answer is A. 40.
Choice B, 25, is incorrect because it does not satisfy the proportion.
Choice C, 240, is incorrect because it represents the value that is given in the proportion and not the value of x.
Choice D, 4, is incorrect as it does not align with the correct calculation for x.
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Solve for x if x=11. x+(44/2x)
- A. 2.5
- B. 33
- C. 55
- D. 13
Correct Answer: A
Rationale: Substitute x=11 into the expression:
11 + (44 / 2*11) = 11 + (44 / 22) = 11 + 2 = 13
Therefore, the correct answer is 13.
Choice A (2.5) is incorrect as the correct result is 13, not 2.5.
Choice B (33) is incorrect because it does not result from the given expression.
Choice C (55) is incorrect as it does not match the calculated value.
Choice D (13) is incorrect because the correct solution is 13, not 2.5.
Change the following fraction into a ratio: 19/40
- A. 19:40
- B. 40:19
- C. 19:4
- D. 40:4
Correct Answer: A
Rationale: To change a fraction into a ratio, you replace the fraction bar (/) with a colon (:). Therefore, 19/40 as a ratio is written as 19:40. Choice B (40:19) is incorrect as it reverses the order of the numbers. Choice C (19:4) is incorrect as it uses the denominator as the second number, which is not the correct way to represent a ratio. Choice D (40:4) is incorrect as it does not reflect the original fraction accurately.
You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?
- A. 7/15 cups
- B. 2/3 cups
- C. 1/3 cups
- D. 1/15 cups
Correct Answer: A
Rationale: To find how much more water is needed, subtract 1/3 cup from 4/5 cup. First, find a common denominator:
The least common denominator between 5 and 3 is 15. Convert the fractions: 4/5 = 12/15, 1/3 = 5/15. Now, subtract: 12/15 - 5/15 = 7/15. Therefore, you need to add 7/15 cups of water. Choice B (2/3 cups) is incorrect because it does not represent the correct amount of additional water needed. Choice C (1/3 cups) is incorrect because this is the amount of water that was accidentally added. Choice D (1/15 cups) is incorrect as it does not reflect the correct calculation of the additional water required.
Solve for x. x/250 = 3/500
- A. 1.5
- B. 2
- C. 1500
- D. 25
Correct Answer: A
Rationale: To solve the proportion x/250 = 3/500, cross multiply to get 500x = 750. Then solve for x by dividing both sides by 500, which results in x = 1.5. Therefore, the correct answer is A.
Choice B (2) is incorrect because the correct solution is 1.5, not 2. Choice C (1500) is incorrect as it does not align with the correct calculation of the proportion. Choice D (25) is incorrect and does not match the correct solution obtained by solving the proportion.
Subtract 12 - 7 & 4\5.
- A. 4 & 4\5
- B. 5 & 4\5
- C. 4 & 1\5
- D. 5 & 1\5
Correct Answer: C
Rationale: 12 - 7 & 4\5 equals 4 & 1\5.