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.
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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.
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.
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 recipe calls for 2.5 teaspoons, which equals approximately 4.93 ml. What is the correct amount of vanilla in ml?
- A. 7.43 ml
- B. 0.507 ml
- C. 5.33 ml
- D. 12.325 ml
Correct Answer: D
Rationale: To find the correct amount of vanilla in ml, you need to multiply the required teaspoons by the conversion factor. 2.5 teaspoons * 4.93 ml = 12.325 ml. Therefore, the correct amount of vanilla required is 12.325 ml.
What is the value of x in the equation 8x - 4 - 10 = 2?
- A. x = -2 or x = 1
- B. x = -1 or x = 2
- C. x = -1/2 or x = 3/2
- D. x = -3/2 or x = 1/2
Correct Answer: B
Rationale: To find the value of x, first simplify the equation: 8x - 14 = 2. Then, add 14 to both sides to get 8x = 16. Finally, divide by 8 to find x = 2. Therefore, the correct answer is x = -1 or x = 2.
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