Question

1)ENCONTRE O VALOR DE x NAS PROPORÇÕES : POR FAVOR GENTE ME AJUDEM QUEM SOUBER !!! OBG !!! CALCULOS POR FAVOR !!!

A)3/4=1/2
  ------------
  1/3=X

B)5/3=1/3
   ----------
   2X=2/5

C)1=2/3
   ---------
   X-1=***

D)X=3  <-
   ------      |
   X-6=   _|

E)$\frac{1}{3}$ = $\frac{x-1}{X+1}$

F)X+5=4/5
   ------------
   X+8

Answer 1

$\frac{ \frac{3}{4} }{ \frac{1}{2} }= \frac{ \frac{1}{3} }{x}$ (multiplica cruzado)

$\frac{3}{4}.x= \frac{1}{2}. \frac{1}{3}--> \frac{3}{4}x= \frac{1}{6}$

$x= \frac{1}{6}: \frac{3}{4}-->x= \frac{1}{6}. \frac{4}{3}-->x= \frac{2}{9}$
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B) $\frac{ \frac{5}{3} }{ \frac{1}{3} }= \frac{2x}{ \frac{2}{5} }=$ (cruzado)
 
    $2x. \frac{1}{3}= \frac{5}{3}. \frac{2}{5}--> \frac{2x}{3}= \frac{2}{3}-->x=1$
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$\frac{1}{3}= \frac{x-1}{x+1}$ (cruzado)

$x+1 =3(x-1)-->x+1=3x-3$

$x-3x=-4-->-2x=-4-->2x=4-->x=2$
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$\frac{x+5}{ \frac{4}{5} }=x+8$

$x+5= \frac{4}{5}.(x+8)-->x+5= \frac{4x+32}{5}$

$5(x+5)=4x+32-->5x+25=4x+32$

$5x-4x=32-25--> x=7$
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C) $\frac{1}{ \frac{2}{3} }=x-1$
    
     $\frac{2}{3}.(x-1)=1--> \frac{2x-2}{3}=1$
     
    $2x-2=3-->2x=5-->x= \frac{5}{2}$
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D) $\frac{x}{3}= \frac{x-6}{1}-->x=3x-18$

$x-3x=-18-->-2x=-18-->x=9$