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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.
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What length of plastic barrier is needed to enclose a circular flower bed with a 5-foot diameter? Use π = 3.14.
- A. 19.625 feet
- B. 15.7 feet
- C. 31.4 feet
- D. 7.85 feet
Correct Answer: B
Rationale: To calculate the length of the plastic barrier needed to enclose a circular flower bed, you must find the circumference (C) using the formula C = π * d, where d is the diameter. Substituting the values, C = 3.14 * 5 = 15.7 feet. Therefore, 15.7 feet of plastic barrier is required to enclose the flower bed. The correct answer is B, '15.7 feet,' as it corresponds to the calculated circumference of the circular flower bed.
Which of the following percentages is equivalent to 5 1/4?
- A. 525%
- B. 514%
- C. 5.14%
- D. 5.25%
Correct Answer: A
Rationale: To convert 5 1/4 to a percentage, first convert the mixed number to an improper fraction. 5 1/4 is equal to 21/4. To find the equivalent percentage, multiply 21/4 by 100%. This gives 525%, making choice A the correct answer.
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.
What is the best decimal approximation of 10 times the positive square root of 207?
- A. 100
- B. 44.7
- C. 200
- D. 89.4
Correct Answer: D
Rationale: To find the decimal approximation of 10 times the positive square root of 207, we first approximate the square root of 207 to be around 14.4. Multiplying this by 10 gives us 144. Among the choices, 89.4 is the closest value to this approximation, making it the correct answer. Therefore, the best decimal approximation of 10 times the positive square root of 207 is 89.4.
In the equation f(t) = 4t + 9, which of the following is the independent variable?
- A. f
- B. t
- C. 4
- D. 9
Correct Answer: B
Rationale: The independent variable is 't' in the equation f(t) = 4t + 9. In a mathematical equation, the independent variable is the one that can be changed or controlled. In this case, 't' is the variable that determines the value of the function f(t). The function f is dependent on the value of 't,' making 't' the independent variable.