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anonymous

  • one year ago

On a certain map, a distance of 40 miles is represented by 1cm. How many miles are represented by 2.2cm on the map ?

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  1. anonymous
    • one year ago
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    okay so we know that 2 cm is 80 miles, now we just need to find what the .2 on the map is

  2. anonymous
    • one year ago
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    Should I multiply ?

  3. anonymous
    • one year ago
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    okay, so if I recall, you should find 20% of 40 and add 80 to that, since the .2 in 2.2 is really 0.20 which is equal to 20%

  4. anonymous
    • one year ago
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    so add 80+8 I think

  5. anonymous
    • one year ago
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    Which is 160

  6. anonymous
    • one year ago
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    no

  7. anonymous
    • one year ago
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    80+8=88

  8. anonymous
    • one year ago
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    I mean 88

  9. anonymous
    • one year ago
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    right

  10. anonymous
    • one year ago
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    Sorry I'm not so focused

  11. anonymous
    • one year ago
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    I am not really sure if the .2 in 2.2 stands for a .02 or a .20

  12. anonymous
    • one year ago
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    but I think this is the answer: 88

  13. anonymous
    • one year ago
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    @OregonDuck

  14. mathstudent55
    • one year ago
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    Since a map scale is a ratio, map scale problems can usually be solved by a proportion.

  15. mathstudent55
    • one year ago
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    You are given a real distance and a map distance: Real distance Map distance 40 miles 1 cm This allows you to establish a ratio, which is the scale of the map: 40 miles : 1 cm

  16. mathstudent55
    • one year ago
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    Now you are given a map distance and an unknown real distance We can let x represent the unknown real distance. Real distance Map distance x 2.2 cm This can be written as a ratio: x : 2.2 cm

  17. mathstudent55
    • one year ago
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    The map scale ratio equals the ratio with the unknown real distance, so we write an equation showing the ratios are equal. An equation that is two equal ratios is called a proportion. Also, there are several ways of writing a ration. The ratio of x to y can be written in these ways: x to y x : y x/y Let's write an equation with our ratios, but at the same time let's change the ratios to the fraction form: \(\large \dfrac{40~miles}{1~cm} = \dfrac{x}{2.2~cm} \)

  18. anonymous
    • one year ago
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    Should I multiply 40 by 2.2 ?

  19. mathstudent55
    • one year ago
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    Now we need to solve the proportion for x. We cross multiply: \(1 \times x = 40 \times 2.2\) Now we simplify: \(x = 88\) Answer: the distance is 88 miles

  20. anonymous
    • one year ago
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    I understand it so much better now thank you so much I really appreciated that @mathstudent55 and @heretohelpalways :)

  21. anonymous
    • one year ago
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    I am glad to read/hear that. Happy Openstudying! :)

  22. mathstudent55
    • one year ago
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    You are very welcome. I'm glad you understand it better now.

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