Question

Va rog frumos exercitiu 10 .
Multumesc .

Answer 1

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

0,25=25/100=1/4

0,2=2/10=1/5

{a;b;c} i.p. {1/3; 1/4; 1/5} si (a+b+c)/3=60

a/3=b/4=c/5=k; si a+b+c=60•3=180

a=3k; b=4k; c=5k

3k+4k+5k=180

12k=180 =>k=180/12=15

a=3•15=45

b=4•15=60

c=5•15=75

De retinut:

{a;b;c} d.p. {x; y; z}=> a/x=b/y=c/z=k

=> a=x•k; b=y•k; c=z•k

{a;b;c} i.p. {x; y; z}=> a•x=b•y=c•z=k

=> a=k/x; b=k/y; c=k/z