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stepham18

  • one year ago

The distance between Singapore and Tokyo is 3300 miles. On a wall map, this distance is represented by 11 inches. How far apart are two cities on the map if the actual distance between them is 6300 miles?

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  1. bahrom7893
    • one year ago
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    3300 - 11 6300 - x

  2. satellite73
    • one year ago
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    start by \(3300\div 11=300\) so each inch is 300 miles

  3. bahrom7893
    • one year ago
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    set up a proportion

  4. bahrom7893
    • one year ago
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    sat's method works too, as usual

  5. satellite73
    • one year ago
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    then divide \(6300\div 300\) to compute miles to inches

  6. stepham18
    • one year ago
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    I'm still confused

  7. satellite73
    • one year ago
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    each inch represents a certain number of miles since \(3300\) miles is represented by 11 inches, you know each inch represents \(3300\div 11=300\) miles, i.e. one inch represents 300 miles is that okay so far?

  8. stepham18
    • one year ago
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    yes

  9. satellite73
    • one year ago
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    now you have \(6300\) miles, and you want to know how many inches that would be on the map

  10. satellite73
    • one year ago
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    since each inch is 300 miles, you want to know \(300x=6300\) or more easily stated as you want to know what is \(3600\div 300\)

  11. satellite73
    • one year ago
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    oops typo there sorry you want to know \(6300\div 300\)

  12. satellite73
    • one year ago
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    is that ok or is that confusing still?

  13. stepham18
    • one year ago
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    i think that's ok ..

  14. satellite73
    • one year ago
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    ok but just to make sure it is clear 1 inch is 300 miles 2 inches is 600 miles 3 inches is 900 miles etc in other words, \(x\) inches is \(300x\) miles you have \(6300\) miles to convert to inches, so you want to know what you would multiply 300 by to get \(6300\) which is just another way of saying, what is \(6300\div 300\)

  15. stepham18
    • one year ago
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    which would be 21

  16. satellite73
    • one year ago
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    yes

  17. stepham18
    • one year ago
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    so the answer would be 21 inches?

  18. satellite73
    • one year ago
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    yes

  19. stepham18
    • one year ago
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    thank you

  20. satellite73
    • one year ago
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    yw

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