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A temporary gauge reads 95F. Which of the following is the correct conversion to degrees Celsius ( Note: C = 5/9 (F = 32))
- A. 21° C
- B. 113° C
- C. 63° C
- D. 35° C
Correct Answer: D
Rationale: Using the formula C = 5/9(F - 32): 95F - 32 = 63; 63 × 5/9 ? 35C.
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Which of the following percentages is equivalent to the fraction 5/8?
- A. 160%
- B. 65.25%
- C. 62.50%
- D. 1.60%
Correct Answer: C
Rationale: To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For the fraction 5/8, it equals 0.625 when divided, which when multiplied by 100 results in 62.50%. Therefore, choice C, 62.50%, is the correct percentage equivalent to the fraction 5/8.
Which of the following expressions represents the sum of three times a number and eight times another number?
- A. 3x + 8x
- B. 3x + 8y
- C. 8x - 3y
- D. 3x - 8y
Correct Answer: B
Rationale: To find the sum of three times a number and eight times another number, you need to multiply each number by its respective factor. Three times a number is represented by 3x, and eight times another number is represented by 8y. When adding these two terms together, the correct expression is 3x + 8y. Therefore, choice B is the correct answer as it accurately represents the sum of three times a number and eight times another number.
Which of the following is the correct decimal placement for the product of 1.3 × 0.47?
- A. 0.611
- B. 6.11
- C. 0.00611
- D. 0.0611
Correct Answer: A
Rationale: Multiplying 1.3 by 0.47 gives 0.611.
A recipe calls for 2 1/2 cups of flour to yield 36 cookies. How much flour will be needed to make 90 cookies using the same recipe?
- A. 6 1/2 cups
- B. 10 1/2 cups
- C. 5 1/2 cups
- D. 4 1/2 cups
Correct Answer: A
Rationale: To determine the amount of flour needed for 90 cookies using the same recipe, set up a proportion: (90 cookies / 36 cookies) * 2.5 cups = 6.25 cups, which simplifies to 6 1/2 cups of flour. Therefore, to make 90 cookies, you will need 6 1/2 cups of flour, based on the original recipe's ratio of flour to cookies.
Which of the following statements demonstrates a negative correlation between two variables?
- A. Cars that are older tend to have higher mileage
- B. Tennis balls that are older tend to have less bounce
- C. Shorter people tend to weigh less than taller people
- D. People who play baseball more tend to have more hits
Correct Answer: B
Rationale: A negative correlation exists when one variable increases as the other variable decreases. In the statement 'Tennis balls that are older tend to have less bounce,' as the age of the tennis balls increases, the bounce decreases, establishing a negative correlation. This demonstrates an inverse relationship where increased age is associated with reduced bounce. Hence, choice B showcases a negative correlation between the variables, making it the correct answer.