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How many feet are in 6 yards?
- A. 2 feet
- B. 9 feet
- C. 36 feet
- D. 18 feet
Correct Answer: D
Rationale: To convert yards to feet, remember that 1 yard is equal to 3 feet. To find how many feet are in 6 yards, you multiply 6 by 3, which equals 18 feet. Therefore, the correct answer is 18 feet. Understanding this conversion is essential for accurate measurements in various situations such as construction, crafting, or any activity involving distance calculations.
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A consumer makes a $400 down payment on a television that costs $1,570. How many months will it take to pay off the television with monthly payments of $100? (Assume no interest)
- A. 16
- B. 12
- C. 11
- D. 15
Correct Answer: B
Rationale: To determine the number of months needed to pay off the television, subtract the down payment from the total cost: $1,570 - $400 = $1,170. Next, divide the remaining amount ($1,170) by the monthly payment of $100 to find the number of months: $1,170 · $100 = 11.7 months. Since you cannot make a fraction of a monthly payment, the consumer will need to make 12 monthly payments to fully pay off the television.
An athlete runs 4 miles in 28 minutes and then changes pace to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?
- A. 7.5 minutes
- B. 7 minutes
- C. 8.5 minutes
- D. 8 minutes
Correct Answer: A
Rationale: To calculate the average time per mile, we add the total time taken for both parts (28 minutes + 32 minutes = 60 minutes) and divide it by the total distance covered (8 miles). This gives us 60 minutes / 8 miles = 7.5 minutes per mile. Therefore, the correct answer is 7.5 minutes, representing the average time it takes the athlete to run 1 mile.
A temperature gauge reads 95 F. Which of the following is the correct conversion to degrees Celsius? (Note: C = (F - 32) x 5/9)
- A. 34C
- B. 63C
- C. 113C
- D. 35C
Correct Answer: A
Rationale: To convert Fahrenheit to Celsius, you can use the formula C = (F - 32) x 5/9. Substituting the given Fahrenheit value of 95 into the formula gives C = (95 - 32) x 5/9 = 35 degrees Celsius. Therefore, the correct conversion is 35C, which corresponds to choice D.
What is the decimal equivalent of 7/25?
- A. 0.28
- B. 3.4
- C. 0.18
- D. 3.57
Correct Answer: A
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. For 7/25, the calculation would be 7 · 25 = 0.28. Therefore, the decimal equivalent of 7/25 is 0.28. This process involves dividing the numerator by the denominator to represent the fraction as a decimal number.
A sweater that normally sells for $87 is marked 25% off. Which of the following estimates the sale price of the sweater?
- A. $36
- B. $65
- C. $51
- D. $22
Correct Answer: B
Rationale: To calculate the sale price after a 25% discount, you need to find 25% of the original price and subtract it from the original price. 25% of $87 is $21.75 ($87 x 0.25 = $21.75). Subtracting this from the original price gives you $87 - $21.75 = $65, which is the estimated sale price of the sweater.