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There are 80 calories in one serving of salad dressing, and 87.5% of those calories are from fat. One serving of salad dressing is 2 tablespoons. Which of the following amounts is the number of calories from fat per tablespoon of salad dressing?
- A. 40
- B. 70
- C. 35
- D. 45
Correct Answer: A
Rationale: To find the calories from fat per tablespoon, first, calculate the total calories from fat: 80 calories * 0.875 = 70 calories from fat. Then, divide by the number of tablespoons in a serving (2): 70 / 2 = 35 calories per tablespoon. Therefore, the correct answer is 35 calories, which is closest to 40.
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A macaroni and cheese recipe calls for 1/2 cup of flour for every 1 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
- A. 2 2/5 cups
- B. 4 cups
- C. 3 8/15 cups
- D. 6 cups
Correct Answer: B
Rationale: To determine the amount of milk needed for 2 cups of flour, set up the proportion: 1 cup of milk / 1/2 cup of flour = x / 2 cups of flour. Cross multiply to get 2 cups of milk = 1 cup of flour * 2 cups of flour. Therefore, x = 4 cups of milk. The chef would need 4 cups of milk for the larger batch.
Simplify the expression: [2(3 + 5 - 3)] / (12 + 2). What is the result of this expression?
- A. 12
- B. 1
- C. 8
- D. 2.57
Correct Answer: D
Rationale: To simplify the given expression [2(3 + 5 - 3)] / (12 + 2), follow the order of operations (PEMDAS/BODMAS). First, calculate the operations within the parentheses: 3 + 5 - 3 = 5. Substitute the result back into the expression to get [2(5)] / (12 + 2). Next, calculate within the brackets: 2(5) = 10. Now, the expression becomes 10 / 14. Simplifying further, 10 / 14 = 5 / 7 = 0.7142 (rounded to two decimal places). Therefore, the result of the expression is approximately 0.71, which corresponds to choice D.
A circle has an area of 49π square inches. What is the circumference of the circle in terms of π?
- A. 7Ï€ in
- B. 14Ï€ in
- C. 28Ï€ in
- D. 3.5Ï€ in
Correct Answer: B
Rationale: To find the circumference of a circle in terms of π, we first determine the radius using the formula for the area of a circle, A = πr^2. Given that the area is 49π square inches, we have 49π = πr^2, which simplifies to r = 7. The circumference of a circle is calculated using the formula C = 2πr. Substituting r = 7, we get C = 2π(7) = 14π. Therefore, the circumference of the circle is 14π inches.
A student lives 23.2 miles from the local community college. Which of the following distances in kilometers does the student travel to go to class? (Round to the nearest tenth.) Note: 1 km = 0.62 mi
- A. 37.4 km
- B. 14.4 km
- C. 61.1 km
- D. 23.6 km
Correct Answer: A
Rationale: To convert miles to kilometers, use the formula: kilometers = miles ÷ 0.62. Thus, 23.2 mi ÷ 0.62 ? 37.419 km, rounded to 37.4 km.
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.