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Ratios, Rates, and Proportions

Math · Problem-Solving and Data Analysis · 57 questions · every one comes with a full explanation.

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  1. 1The International Space Station orbits Earth at an average speed of 4.76 miles per second. What is the space station's average speed in miles per hour?Medium · Problem-Solving and Data Analysis
  2. 2The population density of Iceland, in people per square kilometer of land area, increased from 2.5 in 1990 to 3.3 in 2014. During this time period, the land area of Iceland was 100Medium · Problem-Solving and Data Analysis
  3. 3If x y = 4 and 24 x n y = 4 , what is the value of n ?Medium · Problem-Solving and Data Analysis
  4. 4Pure beeswax has a density of 0.555 ounce per cubic inch. An online company sells pure beeswax at a price of $8.00 per ounce. What is the selling price, in dollars per cubic inch, Medium · Problem-Solving and Data Analysis
  5. 5On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles Medium · Problem-Solving and Data Analysis
  6. 6Rectangle A has length 15 and width w. Rectangle B has length 20 and the same length-to-width ratio as rectangle A. What is the width of rectangle B in terms of w ?Medium · Problem-Solving and Data Analysis
  7. 7Tanya earns $13.50 per hour at her part-time job. When she works z hours, she earns dollars. Which of the following expressions gives the amount, in dollars, Tanya will earn if sheMedium · Problem-Solving and Data Analysis
  8. 8The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. Jenny has a pitcher that contains 1 gallon of water. How many tMedium · Problem-Solving and Data Analysis
  9. 9One of a planet's moons orbits the planet every 252 days. A second moon orbits the planet every 287 days. How many more days does it take the second moon to orbit the planet 29 Medium · Problem-Solving and Data Analysis
  10. 10Which of the following speeds is equivalent to 90 kilometers per hour? (1 kilometer = 1,000 meters)Medium · Problem-Solving and Data Analysis
  11. 11A distance of 61 furlongs is equivalent to how many feet? 1 furlong=220 yards and 1 yard=3 feetMedium · Problem-Solving and Data Analysis
  12. 12Food Protein Cost 1 large egg 6 grams $0.36 1 cup of milk 8 grams $0.24 The table above shows the amount of protein in two foods and the cost of each food. Based on tMedium · Problem-Solving and Data Analysis
  13. 13The population density of Cedar County is 230 people per square mile. The county has a population of 85,100 people. What is the area, in square miles, of Cedar County?Medium · Problem-Solving and Data Analysis
  14. 14A distance of 112 furlongs is equivalent to how many feet? 1 furlong=220 yards and 1 yard=3 feetMedium · Problem-Solving and Data Analysis
  15. 15For the values j and k , the ratio of j to k is 11 to 12 . If j is multiplied by 17 , what is k multiplied by in order to maintain the same ratio?Medium · Problem-Solving and Data Analysis
  16. 16How many tablespoons are equivalent to 14 teaspoons? 3 teaspoons=1 tablespoonMedium · Problem-Solving and Data Analysis
  17. 17A triathlon is a multisport race consisting of three different legs. A triathlon participant completed the cycling leg with an average speed of 19.700 miles per hour. What was the Medium · Problem-Solving and Data Analysis
  18. 18The total area of a coastal city is 92.1 square miles, of which 11.3 square miles is water. If the city had a population of 621,000 people in the year 2010, which of the following Medium · Problem-Solving and Data Analysis
  19. 19The equation above can be used to calculate the distance d, in miles, traveled by a car moving at a speed of 55 miles per hour over a period of t hours. For any positive constant kMedium · Problem-Solving and Data Analysis
  20. 20One side of a flat board has an area of 874 square inches. If a pressure of 19 pounds per square inch of area is exerted on this side of the board, what is the total force, in poMedium · Problem-Solving and Data Analysis
  21. 21A competition consisted of four different events. One participant completed the first event with an average speed of 20.300 miles per hour. What was this average speed, in yards peMedium · Problem-Solving and Data Analysis
  22. 22For a certain rectangular region, the ratio of its length to its width is 35 to 10 . If the width of the rectangular region increases by 7 units, how must the length change to maMedium · Problem-Solving and Data Analysis