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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. 1A printer produces posters at a constant rate of 42 posters per minute. At what rate, in posters per hour, does the printer produce the posters?Easy · Problem-Solving and Data Analysis
  2. 2For a person m miles from a flash of lightning, the length of the time interval from the moment the person sees the lightning to the moment the person hears the thunder is k secondEasy · Problem-Solving and Data Analysis
  3. 3A customer spent $27 to purchase oranges at $3 per pound. How many pounds of oranges did the customer purchase?Easy · Problem-Solving and Data Analysis
  4. 4A group of monarch butterflies migrated from Chicago, Illinois, to Michoacán, Mexico, flying a total of 2,100 miles. It took a single butterfly in the group 120 days to travel thisEasy · Problem-Solving and Data Analysis
  5. 5In a box of pens, the ratio of black pens to red pens is 8 to 1 . There are 40 black pens in the box. How many red pens are in the box?Easy · Problem-Solving and Data Analysis
  6. 6The population density of Worthington is 290 people per square mile. Worthington has a population of 92,800 people. What is the area, in square miles, of Worthington?Easy · Problem-Solving and Data Analysis
  7. 7A wind turbine completes 900 revolutions in 50 minutes. At this rate, how many revolutions per minute does this turbine complete?Easy · Problem-Solving and Data Analysis
  8. 8In the table above, the ratio of y to x for each ordered pair is constant. What is the value of k ?Easy · Problem-Solving and Data Analysis
  9. 9The ratio of t to u is 1 to 2, and . What is the value of u ?Easy · Problem-Solving and Data Analysis
  10. 10A special camera is used for underwater ocean research. When the camera is at a depth of 58 fathoms, what is the camera's depth in feet? 1 fathom=6 feetEasy · Problem-Solving and Data Analysis
  11. 11How many yards are equivalent to 612 inches? 1 yard=36 inchesEasy · Problem-Solving and Data Analysis
  12. 12Shaquan has 7 red cards and 28 blue cards. What is the ratio of red cards to blue cards that Shaquan has?Easy · Problem-Solving and Data Analysis
  13. 13A cherry pitting machine pits 12 pounds of cherries in 3 minutes. At this rate, how many minutes does it take the machine to pit 96 pounds of cherries?Easy · Problem-Solving and Data Analysis
  14. 14A kangaroo has a mass of 28 kilograms. What is the kangaroo's mass, in grams? (1 kilogram=1,000 grams)Easy · Problem-Solving and Data Analysis
  15. 15An object travels at a constant speed of 12 centimeters per second. At this speed, what is the time, in seconds, that it would take for the object to travel 108 centimeters?Easy · Problem-Solving and Data Analysis
  16. 16The weight of an object on Venus is approximately of its weight on Earth. The weight of an object on Jupiter is approximately of its weight on Earth. If an object weighs 100 poundsEasy · Problem-Solving and Data Analysis
  17. 17How many feet are equivalent to 34 yards? 1 yard=3 feetEasy · Problem-Solving and Data Analysis
  18. 18To make a bakery's signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffinEasy · Problem-Solving and Data Analysis
  19. 19A fish swam a distance of 5,104 yards. How far did the fish swim, in miles? 1 mile=1,760 yardsEasy · Problem-Solving and Data Analysis
  20. 20What length, in centimeters, is equivalent to a length of 51 meters? 1 meter=100 centimetersEasy · Problem-Solving and Data Analysis
  21. 21Marta has 7,500 pesos she will convert to US dollars using a currency exchange service. At this time, the currency exchange rate is 1 peso = 0.075 US dollars. The exchange service Easy · Problem-Solving and Data Analysis
  22. 22Tilly earns p dollars for every w hours of work. Which expression represents the amount of money, in dollars, Tilly earns for 39 w hours of work?Easy · Problem-Solving and Data Analysis
  23. 23Makayla is planning an event in a 5,400-square-foot room. If there should be at least 8 square feet per person, what is the maximum number of people that could attend this event?Easy · Problem-Solving and Data Analysis
  24. 24If , which of the following is equivalent to ?Easy · Problem-Solving and Data Analysis
  25. 25How many teaspoons are equivalent to 44 tablespoons? 3 teaspoons=1 tablespoonEasy · Problem-Solving and Data Analysis
  26. 26The ratio x to y is equivalent to the ratio 12 to t . When x = 156 , what is the value of y in terms of t ?Easy · Problem-Solving and Data Analysis