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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.
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Simplify the expression (2(3 + 5 - 3)) / (12 + 2). Which of the following is correct?
- A. 6
- B. 8
- C. 12
- D. 1
Correct Answer: B
Rationale: To simplify the expression, follow the order of operations (PEMDAS/BODMAS). First, solve the subtraction inside the parentheses: 5 - 3 = 2. Then, simplify the expression to get (2(3 + 2)) / 14 = (2(5)) / 14 = 10 / 14 = 5 / 7 ≈ 0.71. Since 8 is the closest whole number to 0.71, the correct answer is B, 8.
A consumer purchases a new sofa that is on sale for 10% off. The original price of the sofa is $950. Which of the following prices represents the sale price of the sofa before taxes are applied?
- A. $940
- B. $855
- C. $85
- D. $95
Correct Answer: B
Rationale: To find the sale price before taxes, you need to deduct 10% of the original price ($950) from the original price. This is calculated as follows: $950 - ($950 * 0.10) = $950 - $95 = $855. Therefore, the sale price of the sofa before taxes is $855. This calculation involves applying the 10% discount to the original price to determine the reduced sale price. The correct answer is $855.
As the number of hours an employee works increases, the amount of taxes withheld, the amount of retirement savings withheld, and the number of sick leave hours granted increase. Which of the following is the independent variable?
- A. Number of hours worked
- B. Number of sick leave hours granted
- C. Amount of retirement savings withheld
- D. Amount of taxes withheld
Correct Answer: A
Rationale: The independent variable is the one that is changed or controlled in a scientific experiment. In this scenario, the number of hours worked is being manipulated, leading to variations in taxes withheld, retirement savings withheld, and sick leave hours granted. Therefore, the number of hours worked is the independent variable in this context. It drives the changes observed in taxes withheld, retirement savings withheld, and sick leave hours granted.
What is the metric equivalent of 7 inches in measurements used for appointments?
- A. 3.2 cm
- B. 17.8 cm
- C. 15.4 cm
- D. 2.8 cm
Correct Answer: B
Rationale: To convert inches to centimeters, you can use the conversion factor that 1 inch is equal to 2.54 centimeters. Therefore, 7 inches is equivalent to 7 * 2.54 = 17.78 cm, which is closest to 17.8 cm (Choice B). This conversion is commonly used in various fields to provide accurate measurements across different systems. In this case, for appointments, knowing the metric equivalent of inches is important for precise measurements and communication, ensuring accurate scheduling and planning.
Which of the following values is the greatest?
- A. 4.25
- B. 2/9
- C. 3/10
- D. 4.4
Correct Answer: C
Rationale: By comparing these values, it is clear that 4.4 is greater than both 4.25 and the fractions 2/9 and 3/10 Therefore, Option D (4.4) is the greatest value among the options provided.