What is the result of dividing 0.6 by 0.12?
- A. 5
- B. 4
- C. 6
- D. 3
Correct Answer: A
Rationale: To divide 0.6 by 0.12, you can perform the operation as follows: 0.6 · 0.12 = 5. Therefore, the correct answer is 5, as the result of dividing these two numbers. When dividing decimals, you can move the decimal point to the right on both numbers until the divisor is a whole number, then divide as you would with whole numbers. In this case, you can multiply both 0.6 and 0.12 by 10 to make the divisor a whole number, resulting in 6 · 1 = 5.
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After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?
- A. $1.93
- B. $5.00
- C. $0.72
- D. $20.13
Correct Answer: A
Rationale: To find out how much money the shopper has left, you need to add the total spent at both stores: $75.64 + $22.43 = $98.07. Next, subtract this total from the initial amount of $100.00: $100.00 - $98.07 = $1.93. Therefore, the shopper has $1.93 remaining after shopping at both stores. This calculation accurately determines the correct amount of money left after the purchases, making choice A the right answer.
What is the sum of 6 3/4 and 8 1/6?
- A. 14 & 11/12
- B. 12 & 3/24
- C. 35/6
- D. 14 & 2/5
Correct Answer: A
Rationale: To add mixed numbers, convert them to improper fractions. 6 3/4 = 27/4, and 8 1/6 = 49/6. Add the fractions: 27/4 + 49/6 = 162/24 + 98/24 = 260/24. Simplify to 10 & 22/24, then to 11 & 10/12 or 11 & 5/6. Therefore, the correct sum is 14 & 11/12.
How many ounces are in 2 quarts?
- A. 8 ounces
- B. 16 ounces
- C. 32 ounces
- D. 64 ounces
Correct Answer: D
Rationale: To convert quarts to ounces, remember that 1 quart is equal to 32 ounces. When dealing with 2 quarts, you need to multiply 2 by 32 to find the total number of ounces, which equals 64 ounces. Therefore, the correct answer is 64 ounces. Understanding the conversion factor of 32 ounces in 1 quart enables you to accurately calculate the total ounces for any given quantity of quarts.
A young adult is running a 24-mile course. If they run the first 6 miles in 1 hour, the second 6 miles in 1.2 hours, the third 6 miles in 1.5 hours, and the fourth 6 miles in 1.6 hours, how long will it take them to complete the run? (Round to the nearest tenth.)
- A. 5.3
- B. 5.6
- C. 5.8
- D. 6
Correct Answer: A
Rationale: To find the total time taken to complete the 24-mile run, add the times for each segment: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it will take them 5.3 hours to finish the 24-mile course. The correct answer is A, 5.3 hours.
2.5:150 :: 20:x = ?
- A. X = 3000
- B. X = 1000
- C. X = 1500
- D. X = 1200
Correct Answer: D
Rationale: The analogy in the question presents the relationship between 2.5 and 150 as 2.5 multiplied by 60 equals 150. To find the value of x, we should determine what number, when multiplied by 20, equals x. Following the same pattern as the initial analogy, 20 multiplied by 60 equals 1200. Hence, x = 1200, making choice D the correct answer.
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