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On a world globe, the distance between city A and city B, two cities that are actually 5616 miles apart, is 8.5 inches. On the same globe, how far apart are city C and city D, two cities that are actually 5041 Miles apart?

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Answer:

the distance between city C and D is 7.6 inches

given:

  • city A and city B is 8.5 inches, actually 5616 miles apart.
  • city C and city D is x inches, actually 5041 miles apart

solving similarities:

[tex]\hookrightarrow \sf \dfrac{5616 }{8.5 } = \dfrac{5041 }{x}[/tex]

change sides

[tex]\hookrightarrow \sf 5616x = 5041(8.5)[/tex]

simplify

[tex]\hookrightarrow \sf 5616x = 42848.5[/tex]

change sides

[tex]\hookrightarrow \sf x = \dfrac{42848.5}{5616}[/tex]

simplify

[tex]\hookrightarrow \sf x = 7.62972[/tex]

rounded to nearest one decimal place

[tex]\hookrightarrow \sf x = 7.6[/tex]

Let that be x

  • Ratio remains same

[tex]\\ \rm\bull\rightarrowtail \dfrac{8.5}{5616}=\dfrac{x}{5041}[/tex]

[tex]\\ \rm\bull\rightarrowtail 0.0015=\dfrac{x}{5041}[/tex]

[tex]\\ \rm\bull\rightarrowtail x=0.0015(5041)[/tex]

[tex]\\ \rm\bull\rightarrowtail x=7.6in[/tex]

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