Question

aflati numerele x,y si z stiind ca sunt invers proportionale cu numerele:0,5 ; 0,(3); si 0,1(6) iar 3x+4y-2z=30​

Answer 1

Răspuns:

0,5=5/10=1/2

0,(3)=3/9=1/3

0,1(6)=(16-1)/90=15/90=1/6

x·1/2=y·1/3=z·1/6=k

x/2=y/3=z/6=k

x=2k

y=3k

z=6k

3·2k+4·3y-2·6z=30

6k+12k-12k=30=>6k=30=>k=30:6=>k=5

x=2·5=>x=10

y=3·5=>y=15

z=6·5=>z=30