Question

se considera proportia x/y=5/7 determinati următoarele rapoarte:​

Answer 1

Răspuns:

rapoarte:

Explicație pas cu pas:

$\frac{x}{y} = \frac{5}{7} \iff \frac{x}{5} = \frac{y}{7} = k \\ x = 5k \\ y = 7k$

a)

$\frac{y - x}{2x} = \frac{7k - 5k}{10k} = \frac{2k}{10k} = \bf \frac{1}{5}$

b)

$\frac{x}{y - x} = \frac{5k}{7k - 5k} = \frac{5k}{2k} = \bf \frac{5}{2}$

c)

$\frac{2x}{x + y} = \frac{10k}{5k + 7k} = \frac{10k}{12k} = \bf \frac{5}{6}$

d)

$\frac{2y}{x + y} = \frac{14k}{5k + 7k} = \frac{14k}{12k} = \bf \frac{7}{6}$