anonymous
  • anonymous
On a certain map, a distance of 40 miles is represented by 1cm. How many miles are represented by 2.2cm on the map ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
okay so we know that 2 cm is 80 miles, now we just need to find what the .2 on the map is
anonymous
  • anonymous
Should I multiply ?
anonymous
  • anonymous
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%

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anonymous
  • anonymous
so add 80+8 I think
anonymous
  • anonymous
Which is 160
anonymous
  • anonymous
no
anonymous
  • anonymous
80+8=88
anonymous
  • anonymous
I mean 88
anonymous
  • anonymous
right
anonymous
  • anonymous
Sorry I'm not so focused
anonymous
  • anonymous
I am not really sure if the .2 in 2.2 stands for a .02 or a .20
anonymous
  • anonymous
but I think this is the answer: 88
anonymous
  • anonymous
@OregonDuck
mathstudent55
  • mathstudent55
Since a map scale is a ratio, map scale problems can usually be solved by a proportion.
mathstudent55
  • mathstudent55
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
mathstudent55
  • mathstudent55
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
mathstudent55
  • mathstudent55
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: \(\large \dfrac{40~miles}{1~cm} = \dfrac{x}{2.2~cm} \)
anonymous
  • anonymous
Should I multiply 40 by 2.2 ?
mathstudent55
  • mathstudent55
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
anonymous
  • anonymous
I understand it so much better now thank you so much I really appreciated that @mathstudent55 and @heretohelpalways :)
anonymous
  • anonymous
I am glad to read/hear that. Happy Openstudying! :)
mathstudent55
  • mathstudent55
You are very welcome. I'm glad you understand it better now.

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