Nokea
A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water are in one fully filled bucket?
- A. 14/15
- B. 8 2/5
- C. 6 4/5
- D. 2 7/15
Correct Answer: C
Rationale: To determine the amount of water in a fully filled bucket, we need to find out how much 1/3 represents in gallons. If 2 4/5 gallons represent 1/3 of the bucket, then the total amount in the bucket can be calculated by multiplying 2 4/5 by 3 (since 1/3 is multiplied by 3 to get the whole). 2 4/5 * 3 = 8 2/5 gallons, which is the capacity of the bucket when completely filled. Therefore, one fully filled bucket contains 8 2/5 gallons of water.
You may also like to solve these questions
What is the area of a circle with a diameter of 16 inches in terms of pi (Ï€)?
- A. 32Ï€ in squared
- B. 64Ï€ in squared
- C. 256Ï€ in squared
- D. 16Ï€ in squared
Correct Answer: B
Rationale: To calculate the area of a circle, you use the formula A = Ï€r^2, where r is the radius of the circle. Since the diameter is given as 16 inches, the radius (r) is half of that, which is 8 inches. By substituting r = 8 into the formula, you calculate the area as A = Ï€(8)² = 64Ï€ square inches. Therefore, the correct answer is 64Ï€ in squared (Choice B). This calculation is derived from the concept of the radius being half of the diameter in a circle formula.
What is the metric equivalent of 7 inches in measurements used for appointments?
- A. 3.2 cm
- B. 17.8 cm
- C. 15.4 cm
- D. 2.8 cm
Correct Answer: B
Rationale: To convert inches to centimeters, you can use the conversion factor that 1 inch is equal to 2.54 centimeters. Therefore, 7 inches is equivalent to 7 * 2.54 = 17.78 cm, which is closest to 17.8 cm (Choice B). This conversion is commonly used in various fields to provide accurate measurements across different systems. In this case, for appointments, knowing the metric equivalent of inches is important for precise measurements and communication, ensuring accurate scheduling and planning.
The Americans with Disabilities Act (ADA) requires the slope of a wheelchair ramp to be no greater than 1:12. What is the minimum length of the ramp needed to provide access to a door that is 2.5 feet above the sidewalk?
- A. 25 feet
- B. 30 feet
- C. 32.5 feet
- D. 14.5 feet
Correct Answer: B
Rationale: To determine the minimum length of the ramp needed to provide access to a door elevated 2.5 feet above the sidewalk, we divide the vertical rise (2.5 feet) by the slope ratio (1:12). This calculation results in 2.5 feet divided by 1/12, which equals 30 feet. Therefore, a 30-foot ramp is required to meet the ADA requirement of a 1:12 slope, ensuring proper wheelchair access to a door elevated 2.5 feet above the sidewalk.
How many milliliters are in 0.5 liters?
- A. 5,000
- B. 5
- C. 500
- D. 50
Correct Answer: C
Rationale: To convert liters to milliliters, you need to know that 1 liter is equal to 1,000 milliliters. Therefore, to find out how many milliliters are in 0.5 liters, you multiply 0.5 by 1,000, which gives you 500 milliliters. Hence, the correct answer is 500 milliliters. Remember, when converting between units, you must use the correct conversion factor to ensure the accuracy of your calculations.
A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the bag, what is the probability that the ball is red?
- A. 4/12
- B. 5/12
- C. 1/4
- D. 1/2
Correct Answer: A
Rationale: To find the probability of selecting a red ball, we calculate the total number of balls in the bag, which is 5 (green) + 4 (red) + 3 (yellow) = 12 balls. The probability is the number of favorable outcomes (4 red balls) divided by the total number of outcomes (12 balls), giving us 4/12 or 1/3. Therefore, the correct answer is A, representing a probability of 1/3 for selecting a red ball from the bag.