Question

Aflati termenul necunoscut din urmatoarele proportii
a)xsupra3=5supra1
b)0,(3)suprax=2supra0,(2)
c)xsupra0,5=1supra2supra3
d) 1supra4supra2=3supra2suprax
ajutatima urgent

Answer 1

$a) \frac{x}{3} = \frac{5}{1}$

$x = \frac{3 \times 5}{1}$

$x = \frac{15}{1}$

$x = 15$

$b) \frac{0.(3)}{x} = \frac{2}{0.(2)}$

$\frac{ \frac{3}{9} }{x} = \frac{2}{ \frac{2}{9} }$

$2x = \frac{3}{9} \times \frac{2}{9}$

$2x = \frac{3 \times 2}{9 \times 9}$

$2x = \frac{6}{81}$

$2x = \frac{2}{27}$

$2x \times 27 = 2$

$54x = 2$

$x = \frac{2}{54}$

$x = \frac{1}{27}$

$c) \frac{x}{0.5} = \frac{1}{ \frac{2}{3} }$

$\frac{x}{ \frac{5}{10} } = 1 \times \frac{3}{2}$

$x \times \frac{10}{5} = \frac{3}{2}$

$x \times 2 = \frac{3}{2}$

$2x = \frac{3}{2}$

$2x \times 2 = 3$

$4x = 3$

$x = \frac{3}{4}$

$d) \frac{1}{ \frac{4}{2} } = \frac{3}{ \frac{2}{x} }$

$\frac{1}{2} = 3 \times \frac{x}{2}$

$\frac{1}{2} = \frac{3x}{2}$

$3x = 1$

$x = \frac{1}{3}$