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2.50 × 0.25 Simplify the expression above. Which of the following is correct?
- A. 6.25
- B. 0.0625
- C. 6.025
- D. 0.625
Correct Answer: D
Rationale: Multiplying 2.50 by 0.25 gives 0.625.
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A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?
- A. $451
- B. $527
- C. $316
- D. $431
Correct Answer: A
Rationale: To find the original price, start by letting x represent the original price. The sale price is 30% less than x, which means it is 70% of x (100% - 30% = 70%). After the additional 25% off coupon, the consumer pays 75% of the sale price (100% - 25% = 75%). Setting up the equation: 0.75 * 0.7 * x = $237. Solving for x gives x = $451, which is the original price of the recliner.
A homeowner has hired two individuals to mow his lawn. If person A is able to mow the lawn in 2 hours by himself, and person B is able to mow the lawn in 3 hours by himself, how long would it take for both person A and person B to mow the lawn together?
- A. 5 hours
- B. 1 hour
- C. 2.5 hours
- D. 1.2 hours
Correct Answer: D
Rationale: To find out how long it would take for both person A and person B to mow the lawn together, we can use the formula: 1 / (1/A + 1/B), where A and B represent the individual times taken by each person. Substituting A = 2 hours and B = 3 hours into the formula: 1 / (1/2 + 1/3) = 1 / (5/6) = 6/5 = 1.2 hours. Therefore, it would take both person A and person B 1.2 hours to mow the lawn together.
A baker is using a cookie recipe that calls for 2 1/4 cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
- A. 6 1/4 cups
- B. 4 3/4 cups
- C. 5 5/8 cups
- D. 10 1/8 cups
Correct Answer: C
Rationale: To determine how much flour is needed for 90 cookies using the same recipe, start by calculating the amount of flour required per cookie in the original recipe. The original recipe uses 2 1/4 cups of flour for 36 cookies. To find the amount per cookie, divide the total flour by the number of cookies: 2 1/4 / 36 = 1/16 cup per cookie. Next, multiply the amount per cookie by the new number of cookies: 1/16 * 90 = 5 5/8 cups. Therefore, the baker will need 5 5/8 cups of flour to make 90 cookies following the same recipe.
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.
What is the mean of the test scores listed below? 100, 78, 47, 84, 93, 78
- A. 80
- B. 78
- C. 81
- D. 96
Correct Answer: A
Rationale: To find the mean of a set of numbers, you need to sum all the numbers together and then divide by the total count of numbers. In this case, the sum of the test scores is 100 + 78 + 47 + 84 + 93 + 78 = 480. Since there are 6 test scores in total, you divide the sum by 6 to get the mean. Therefore, the mean = 480 · 6 = 80. Hence, the correct answer is A, which is 80. It represents the average test score among the provided values.