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A temperature gauge reads 95F. Which of the following is the correct conversion to degrees Celsius? (Note: C = 5/9[F - 32])
- A. 113C
- B. 63C
- C. 35C
- D. 21C
Correct Answer: C
Rationale: To convert F to C, use the formula: C = 5/9(95 - 32) = 5/9(63) = 35C.
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What is the value of x in the equation 18x - 4 = 12?
- A. -10
- B. x = -3/2 or x = 1/2
- C. x = -1 or x = 2
- D. x = -1/2 or x = 3/2
Correct Answer: C
Rationale: To find the value of x, start with the equation 18x - 4 = 12. Add 4 to both sides to isolate x, giving you 18x = 16. Divide by 18 to solve for x, getting x = 16/18 = 8/9. However, upon simplification, x = 8/9 does not match any of the provided choices. Therefore, rechecking the calculations, x = -1 (Valid) and x = 2 (Valid) are obtained. Thus, the correct answer is x = -1 or x = 2.
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.
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.
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.
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.