5.4: Exercises

Last updated
Save as PDF

Page ID: 59954

\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

For 1-26, convert the measurements. Round your answer up to 3 decimal places, if needed.

1. 5 yards = _____ feet

2. 6 yards = _____ inches

3. 108 inches = _____ yards

4. 257 miles = _____ feet

5. 253 miles = _____ feet

6. 8 pounds = _____ ounces

7. 370 ounces = _____ ton

8. 417 ounces = _____ ton

9. 112 cups = _____ gallons

10. \(8 \dfrac{1}{2}\) gallons = _____ cups

11. 7 quarts = _____ fluid ounces

12. 9 fluid ounces = _____ quarts

13. 8 meters = _____ centimeters

14. 4580 milliliters = _____ liters

15. 3520 milliliters = _____ liters

16. 2 millimeters = _____ meters

17. 171 centimeters = _____ meters

18. 5,180 milliliters = _____ liters

19. 2,610 grams = _____ kilograms

20. 2 kilograms = _____ grams

21. 58.3 millimeters = _____ centimeters

22. 0.3429 kilograms = _____ milligrams

23. 14\(°C\) = ______\(°F\)

24. 41\(°F\) = ______\(°C\)

25. 12\(°C\) = ______\(°F\)

26. 99\(°F\) = ______\(°C\)

Exploration

27. Apollo Spas services 281 hot tubs. If each hot tub needs 105 milliliters of muriatic acid, how many liters of acid are needed for all of the hot tubs?

28. The photo sharing site Flickr had 2.7 billion photos in June 2012. Create a comparison to understand this number by assuming each picture is about 2 megabytes in size, and comparing to the data stored on other media like DVDs, iPods, or flash drives.

29. In June 2012, Twitter was reporting 400 million tweets per day. Each tweet can consist of up to 140 characters (letter, numbers, etc.). Create a comparison to help understand the amount of tweets in a year by imagining each character was a drop of water and comparing to filling something up.

30. During the landing of the Mars Science Laboratory Curiosity, it was reported that the signal from the rover would take 14 minutes to reach earth. Radio signals travel at the speed of light, about 186,000 miles per second. How far was Mars from Earth when Curiosity landed?

31. It is estimated that a driver takes, on average, 1.5 seconds from seeing an obstacle to reacting by applying the brake or swerving. How far will a car traveling at 60 miles per hour travel (in feet) before the driver reacts to an obstacle?