Question

determinati numarul rational x astfel incat media aritmetica ponderata a numerelor x si 0,(36)cu ponderile 10 respectiv 22 sa fie 2

Answer 1

0,(36)=36/99=4/11

(10·x+22·4/11)/(10+22)=2;      22·0,(36)=22·4/11=8

 (10x+8)/32=2

10x+8=2·32

10x=64-8

x=56:10

x=5,6

verificare: (10·5,6+8)/32=( 56+8)/32=64/32=2 (A)