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Artemon [7]
2 years ago
11

If you were to measure a straight line from New York to Hong Kong it would measure 12.6 cm. If the scale of the map says that 30

00 miles are 3.2 cm, what is the distance between New York and Hong Kong in miles?
Mathematics
2 answers:
adell [148]2 years ago
7 0

WE can solve it by ratio and proportions

Let the distance be x

\\ \sf\longmapsto \dfrac{x}{12.6}=\dfrac{3000}{3.2}

\\ \sf\longmapsto 3.2x=3000(12.6)

\\ \sf\longmapsto 3.2x=37800

\\ \sf\longmapsto x=\dfrac{37800}{3.2}

\\ \sf\longmapsto x=11812.5mi

amid [387]2 years ago
5 0

Answer:

  • 11812.5 miles

Step-by-step explanation:

<u>Given:</u>

  • 3000 miles → 3.2 cm
  • x miles → 12.6 cm

<u>Solve for x by cross-product:</u>

  • 3.2x = 3000*12.6
  • x = 37800/3.2
  • x = 11812.5 miles
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