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To ride a certain amusement park attraction, a person must be 48 inches tall. How many feet tall must a person be to meet this requirement? (Enter a numeric value only.)
- A. 4
- B. 5
- C. 6
- D. 3
Correct Answer: A
Rationale: To convert inches to feet, you need to divide by 12 because there are 12 inches in a foot. Therefore, 48 inches · 12 = 4 feet. Hence, the correct answer is A) 4 feet.
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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.
How many liters are in 5000 milliliters? (Enter numeric value only.)
- A. 0.5L
- B. 50L
- C. 5L
- D. 500L
Correct Answer: C
Rationale: Correct Answer: C (5L)
Rationale:
1. 1 liter = 1000 milliliters.
2. To convert 5000 milliliters to liters, divide 5000 by 1000.
3. 5000 ml ÷ 1000 = 5 liters.
4. Therefore, there are 5 liters in 5000 milliliters.
Summary:
- A (0.5L): Incorrect, as dividing 5000 ml by 1000 equals 5L, not 0.5L.
- B (50L): Incorrect, as the conversion from milliliters to liters is 1:1000.
- D (500L): Incorrect, as dividing 5000 ml by 1000 equals 5L, not 500L.
Solve for x when x=11. x + 44 / 2x =
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct Answer: C
Rationale: To solve the equation, substitute x=11 into the expression: 11 + 44 / (2*11). First, perform the operation inside the parentheses: 2*11 = 22. Then, divide 44 by 22 to get 2. Finally, add 11 and 2 to get the result of 13. Therefore, when x=11, x + 44 / 2x equals 13, making choice C the correct answer.
Identify the number that represents the largest amount.
- A. 95%
- B. 1.25%
- C. 16.25%
- D. 73.90%
Correct Answer: A
Rationale: Correct Answer: A
Rationale:
To identify the largest amount, we look for the highest percentage value. 95% is the highest among the given choices.
Summary:
- Choice B (1.25%) is the smallest percentage.
- Choice C (16.25%) is higher than choice B but not the largest.
- Choice D (73.90%) is lower than choice A, making it incorrect.
In conclusion, 95% (Choice A) represents the largest amount among the options provided.
Which fraction represents the largest value?
- A. 3/7
- B. 3/6
- C. 3/9
- D. 3/8
Correct Answer: B
Rationale: To determine the largest fraction when the numerators are the same, compare the denominators. A smaller denominator indicates a larger fraction as it represents more significant parts of a whole. In this case, the fractions all have a common numerator of 3. Comparing the denominators, 6 is the smallest, making 3/6 the largest fraction. Therefore, 3/6 represents the largest value among the options. Remember, when fractions have the same numerator, the fraction with the smaller denominator is larger as it represents a larger portion of the whole.