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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.

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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.

Television screen sizes are measured by the diagonal length of the rectangular screen. Assuming proportionality, if a vehicle on a 32-inch screen appears 9 inches long, how long will it appear on a 50-inch screen? (Round to the nearest inch.)

  • A. 27 in
  • B. 18 in
  • C. 15 in
  • D. 11 in
Correct Answer: C

Rationale: Using the proportion: 9 in / 32 in = x in / 50 in. Cross multiplying gives 32*x = 9*50. Solving for x gives x = 14.06 in, rounding to 14 in. Therefore, the vehicle will appear approximately 15 inches long on a 50-inch screen.

If a bucket containing 2 4/5 gallons of water is 1/3 full, how many gallons of water are in one fully filled bucket?

  • A. 6 4/5
  • B. 14/15
  • C. 2 7/15
  • D. 8 2/5
Correct Answer: D

Rationale: To determine the full capacity of the bucket, we need to find out how much 2 4/5 gallons (1/3 of the bucket) represents. First, convert 2 4/5 to an improper fraction: 2 4/5 = 14/5. Since this amount represents 1/3 of the bucket, we multiply it by 3 to find the full capacity. 14/5 * 3 = 42/5 = 8 2/5. Therefore, one fully filled bucket contains 8 2/5 gallons of water.

A temperature gauge reads 95F. Which of the following is the correct conversion to degrees Celsius? (Note: C = 5/9[F - 32])

  • A. 113C
  • B. 63C
  • C. 35C
  • D. 21C
Correct Answer: C

Rationale: To convert F to C, use the formula: C = 5/9(95 - 32) = 5/9(63) = 35C.

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.

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