Nokea
A bucket can hold 3L. How many milliliters can the bucket hold?
- A. 300ml
- B. 3000ml
- C. 0.003ml
- D. 30ml
Correct Answer: B
Rationale: To convert liters to milliliters, you need to multiply by 1000 since 1 liter is equal to 1000 milliliters. Therefore, to determine how many milliliters a 3-liter bucket can hold, you multiply 3 by 1000, resulting in 3000ml. Hence, a bucket that can hold 3L is capable of holding 3000ml.
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A new professional saw 841 clients during the first year of practice and 1072 clients during the second year of practice. Which of the following represents the approximate percentage increase in client volume?
- A. 127%
- B. 27%
- C. 22%
- D. 78%
Correct Answer: B
Rationale: To calculate the percentage increase in client volume, subtract the initial number of clients from the final number, then divide the result by the initial number and multiply by 100. The increase is 1072 - 841 = 231 clients. The percentage increase is calculated as (231 / 841) * 100 ≈ 27%, which corresponds to option B. Therefore, the correct answer is 27%, representing the percentage increase in client volume from the first year to the second year of practice.
Which of the following is the correct decimal placement for the product of 1.3 × 0.47?
- A. 0.611
- B. 6.11
- C. 0.00611
- D. 0.0611
Correct Answer: A
Rationale: Multiplying 1.3 by 0.47 gives 0.611.
A person weighed themselves at 180 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)
- A. 13%
- B. 20%
- C. 10%
- D. 5%
Correct Answer: B
Rationale: The percent lost is calculated as 180?160180×100?11.1%\frac{180 - 160}{180} \times 100 \approx 11.1\%180180?160?×100?11.1%, which rounds to 11%.
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.
If X represents the width of a rectangle and the length is four less than three times the width, which of the following expressions represents the length of the rectangle in terms of X?
- A. 3x - 4
- B. 4x - 3
- C. 4 - 3x
- D. 3 - 4x
Correct Answer: A
Rationale: To determine the expression for the length of the rectangle in terms of X, we need to consider that the length is four less than three times the width. This can be mathematically represented as 3 times X minus 4, which simplifies to 3x - 4 (choice A). Therefore, choice A correctly represents the length of the rectangle in terms of X, making it the correct answer.