christianwest96 christianwest96
  • 16-02-2020
  • Mathematics
contestada

If on a scale drawing 24 inches equals 10 ft. what does 1/8 inches equal

Respuesta :

Edufirst
Edufirst Edufirst
  • 22-02-2020

Answer:

 [tex]\large\boxed{\large\boxed{(5/96)ft\approx 0.052ft}}[/tex]

Explanation:

1. Use the scale ratio to set a proportion with the unknown lenght.

       [tex]24inches/10ft=(1/8)inches/x[/tex]

2. To solve for x, use cross multiplication:

        [tex]24inches\times x=10ft\times(1/8)inches[/tex]

3. Divide both sides by 24inches:

          [tex]x=10ft\times(1/8)inches\times (1/24inches)[/tex]

4. Simplify:

          [tex]x=10ft/192=(5/96)ft\approx 0.052ft[/tex]

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