Question

Aflați x din proporția x/4=5/3,x/x+1=3/4,(4/5+1/5×10/3)×5/11 totul supra 0,2+0,(3)=x/2
Datini rezolvarea pls
Dau coronita

Answer 1

$\frac{x}{4}=\frac{5}{3} \\ \\ x\cdot 3=4\cdot5 \\ \\ 3x=45 \\ \\ x=45:3 \\ \\ x=15$


$\frac{x}{x+1} = \frac{3}{4} \\ \\ 4\cdot x=3\cdot(x+1) \\ \\ 4x=3x+3 \\ \\ 4x-3x=3 \\ \\ x=3$



$( \frac{( \frac{4}{5} + \frac{1}{5}\cdot \frac{10}{3})\cdot \frac{5}{11}}{0,2+0,(3)}= \frac{x}{2} \\ \\ (\frac{4}{5} + \frac{1}{5}\cdot \frac{10}{3})\cdot \frac{5}{11}= ( \frac{^{3}) 4}{5}+ \frac{10}{15})\cdot \frac{5}{11} = \frac{22}{15}\cdot \frac{5}{11}= \frac{2}{3} \\ \\ 0,2+0,(3)= \frac{2}{10}+\frac{3}{9} = \frac{1}{5}+ \frac{1}{3}= \frac{8}{15} \\ \\ \frac{2}{3}: \frac{8}{15} = \frac{2}{3}\cdot \frac{15}{8}= \frac{5}{4}$

$\frac{5}{4}= \frac{x}{2} \\ \\ 5\cdot2 =4\cdotx \\ \\ 10=4x \\ \\ x= \frac{10}{4}= \frac{5}{2} \\ \\ x= \frac{5}{2}$