Question

Stabiliți dacă numerele 0,21 1,47 și 3,5 sunt direct proporționale cu nr 1,47 10,29 și 24,5..ajutor​

Answer 1

 

$\displaystyle\bf\\Stabilim~daca~(0,21;~1,47;~3,5)~d.p.~cu~(1,47;~10,29;~24,5)\\\\Verificam~daca~este~adevarat:\\\\\frac{0,21}{1,47}=\frac{1,47}{10,29}=\frac{3,5}{24,5}\\\\\\\frac{21}{147}=\frac{147}{1029}=\frac{35}{245}\\\\Descompunem~in~factori~primi.\\\\\frac{3\times7}{3\times7^2}=\frac{3\times7^2}{3\times7^3}=\frac{5\times7}{5\times7^2}\\\\Simplificam:\\\\\boxed{\bf\frac{1}{7}=\frac{1}{7}=\frac{1}{7}~~~Adevarat}\\\\\\\implies~~\boxed{\bf(0,21;~1,47;~3,5)~d.p.~cu~(1,47;~10,29;~24,5)}$