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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.
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A baker is using a cookie recipe that calls for 2 ? cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
- A. 5 ? cups
- B. 6 ? cups
- C. 4 ? cups
- D. 10 ? cups
Correct Answer: B
Rationale: To find the amount of flour needed for 90 cookies, first calculate the flour per cookie: (2 ? cups / 36 cookies) = (8/36) = (2/9) cups per cookie. Then multiply by 90: (2/9) × 90 = 20 cups.
Which of the following is the range of the test scores given below? 52, 68, 41, 97, 65, 81, 72, 52, 85, 98, 85
- A. 33
- B. 52
- C. 57
- D. 72
Correct Answer: C
Rationale: The range is calculated by subtracting the lowest score from the highest score. The highest score is 98, and the lowest score is 41. Thus, the range is 98 - 41 = 57.
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.
(x/y) - z = nw. Solve for x in the equation above.
- A. x = y(nw + z)
- B. x = y(2 + rw)
- C. x = yw + yz
- D. x = y(nw - z)
Correct Answer: A
Rationale: To solve for x, first add z to both sides: (x/y) = nw + z. Then multiply both sides by y to isolate x: x = y(nw + z).
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.