razao e proporçao

leozinho · Member

razao e proporçao

paulo testoni · Guru

Hola.

6 X Y
2/5 3 1/3

6*2/5 = x*3 = y*1/3, daqui vc tira:

1) 3x = 12/5, x = 4/5

2) x*3 = y*1/3

3*4/5 = y/3, y = 36/5

paulo testoni · Guru

02) Determinar X Y Z nas sucessões inversamente proporcionais:
16 6 y 10
x 2/3 4/5 z

16/x = 6/(2/3) = y/ 4/5 = 10/z, daqui vc tira que:

1) 16/x = 6/(2/3)

16/x = 6*(3/2), 16/x = 9, x = 16/9

2) 6/(2/3) = y/ 4/5

9 = 5y/4, y = 36/5

3) y/ 4/5 = 10/z

(36/5)/(4/5) = 10/z, (36/5)*(5/4) = 10/z

9 = 10/z, z = 10/9