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How many gallons are in 576 fluid ounces?
- A. 4 gallons
- B. 4.5 gallons
- C. 5 gallons
- D. 6 gallons
Correct Answer: B
Rationale: To convert fluid ounces to gallons, you need to divide by 128, as 1 gallon is equivalent to 128 fluid ounces. So, 576 fluid ounces divided by 128 equals 4.5 gallons. Therefore, there are 4.5 gallons in 576 fluid ounces. Understanding conversion factors is essential for accurately working with different units of volume.
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A production statistic shows that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?
- A. 3 chickens
- B. 8 chickens
- C. 12 chickens
- D. 4 chickens
Correct Answer: B
Rationale: If 2 chickens produce 6 eggs in 24 hours, it means each chicken produces 3 eggs in 24 hours. To produce 24 eggs, you would need to calculate 24 eggs · 3 eggs per chicken = 8 chickens. Therefore, 8 chickens are needed to produce 24 eggs in 24 hours. This calculation is based on the proportionality of the number of chickens to the number of eggs produced, ensuring the correct quantity of chickens is determined for the desired egg output.
If a die is rolled, what is the probability of getting an odd number?
- A. 50%
- B. 75%
- C. 16.70%
- D. 33%
Correct Answer: A
Rationale: When a fair six-sided die is rolled, there are 3 odd numbers (1, 3, 5) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an odd number is calculated by taking the number of favorable outcomes (3) divided by the total number of outcomes (6), which simplifies to 3/6 or 1/2, equivalent to 50%. Therefore, the correct answer is 50%. This means that when rolling a fair six-sided die, there is a 50% chance of getting an odd number.
Ratio and Proportion: 9 : X :: 5 : 300
- A. 540
- B. 600
- C. 450
- D. 500
Correct Answer: A
Rationale: To find the value of X, set up the proportion: 9/X = 5/300. Cross-multiply to get 9 * 300 = 5 * X. Solve for X by dividing 2700 by 5, which equals 540. Therefore, the correct answer is A, which is 540.
What is the result of subtracting 2 5/8 from 7/8, reduced to lowest terms?
- A. 1 3/4
- B. 1 6/8
- C. 1 1/4
- D. 1 5/8
Correct Answer: A
Rationale: To subtract mixed numbers, convert them to improper fractions. 2 5/8 as an improper fraction is 21/8. Subtracting 7/8 from 21/8 results in 14/8. Simplifying 14/8 to lowest terms gives 1 3/4, which is the final answer.
Change 0.26 to a fraction =
- A. 7/8
- B. 13/50
- C. 26/100
- D. 2 6/10
Correct Answer: B
Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.26 can be written as 26/100. To simplify, divide both the numerator and the denominator by their greatest common factor, which is 2. This simplifies to 13/50, making it the correct fraction equivalent of 0.26. Therefore, the correct answer is 13/50.