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What is the best decimal approximation of 10 times the positive square root of 20?
- A. 89.4
- B. 200
- C. 44.7
- D. 100
Correct Answer: C
Rationale: To find 10 times the positive square root of 20, first calculate the square root of 20, which is approximately 4.472. Then, multiply this by 10: 10 * 4.472 ≈ 44.7. The best decimal approximation of 10 times the positive square root of 20 is 44.7, which corresponds to Option C.
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The length of a person's shadow is proportional to their height. If a person's shadow is 120 cm long and their height is 180 cm, how long is the shadow of a person who is 135 cm tall at the same time of day?
- A. 202.5 cm
- B. 75 cm
- C. 160 cm
- D. 90 cm
Correct Answer: D
Rationale: To find the shadow length of a 135 cm tall person, set up the proportion: 120 cm / 180 cm = x / 135 cm. Cross multiply to get 180x = 120 * 135, then solve for x by dividing both sides by 180. Therefore, x = 120 * 135 / 180 = 90 cm. Hence, the shadow length of a 135 cm tall person at the same time of day would be 90 cm.
One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all the floors, how much ammonia is needed?
- A. 20 oz
- B. 20 gallons
- C. 720 oz
- D. 720 gallons
Correct Answer: C
Rationale: To calculate the total amount of ammonia needed, you must multiply the amount of ammonia required for one gallon of solution by the total number of gallons needed. With 6 oz of ammonia per gallon, multiplying 6 oz by 120 gallons gives you a total of 720 oz of ammonia needed. Therefore, 720 oz of ammonia are required to clean all the floors.
A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. What is the estimated gratuity amount?
- A. $4.00
- B. $5.76
- C. $5.00
- D. $7.00
Correct Answer: B
Rationale: To calculate a 15% gratuity on a $38.40 bill, you multiply $38.40 by 0.15 (15%). This calculation results in $5.76, which is the estimated gratuity amount. Therefore, the correct answer is $5.76 (Choice B). Leaving a 15% gratuity is a common practice to show appreciation for the service provided by the restaurant staff.
What is an appropriate unit of measure to express the length of a dollar bill?
- A. Meters
- B. Decimeters
- C. Kilometers
- D. Centimeters
Correct Answer: D
Rationale: Dollar bills are relatively small items, so their length is commonly measured in centimeters. Meters, decimeters, and kilometers are much larger units of length, making centimeters the most suitable unit to accurately express the length of a dollar bill. Centimeters provide a more precise and practical measurement for the size of a dollar bill compared to the other options, which are more suitable for larger distances or objects.
Solve the equation 4(X-5)=8 for x. Which of the following is the correct answer?
- A. 7
- B. 03-Apr
- C. 3 1/4
- D. -3
Correct Answer: A
Rationale: To solve the equation 4(X-5)=8 for x, first distribute the 4: 4X - 20 = 8. Next, add 20 to both sides to isolate X: 4X = 28. Finally, divide by 4 to solve for X: X = 7. Therefore, the correct answer is A as X equals 7.