emzogwayo
emzogwayo emzogwayo
  • 17-09-2020
  • Mathematics
contestada

Find the ratio a:c if
a:b = 1:2, b:d = 4:5, d:c = 3:1
​

Respuesta :

jimrgrant1 jimrgrant1
  • 17-09-2020

Answer:

a : c = 6 : 5

Step-by-step explanation:

Expressing the ratios in fractional form, then

[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{d}[/tex] × [tex]\frac{d}{c}[/tex] = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{5}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{12}{10}[/tex] = [tex]\frac{6}{5}[/tex]

Thus a : c = 6 : 5

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