Question

Dividir 284 em partes inversamente proporcionais a 3,5 e 7 ???????

Answer 1

k.(1/3+1/5+1/7)=284

mmc:

3,5,7/3
1,5,7/5
1,1,7/7
1,1,1=>3.5.7=>105

k.(1/3+1/5+1/7)=284

k.(35+21+15)/105=284

k.(71/105)=284

71k=284.(105)

k=284.105/71

k=29.820/71

k=420

x=1/3.(420)=140

y=1/5.(420)=84

z=1/7.(420)=60


x=140

y=84

z=60

Answer 2

Resposta: As partes são 140, 84 e 60

Explicação passo-a-passo:

x/3+x/5+x/7=284

MMC  3  5  7 | 3

          1   5  7 | 5

          1   1   7 | 7

          1   1   1  | 3*5*7=105

105/3+105/5+105/7=

35x+21x+15x/105=

71x=284*105

71x=29820

x=29820/71

x=420

x=420/3=140

x=420/5=84

x=420/7=60