Question

cuanto es el valor de la x en las siguentes fraciones: x/4=6/12 1/9=10/x 4/8=x/16 20/x=0.8/0.4 2x+1/x=18/10 x+1/40=2/16 x+3/24=5/8 5/100=0.25/x 0.6/4=x/20 4/10=0.8/x x/12=35/28 x/8=2x x/8=45/20 9/x=x/4 x/25=4/x x/3=27/3 x/16=4/8

Answer 1

Respuesta:

$1) \frac{x}{4}=\frac{6}{12}\\\\ \frac{x}{4}=\frac{1}{2}\\\\ \frac{4x}{4}=\frac{1\cdot \:4}{2}\\\\ x=2$

$2)\frac{1}{9}=\frac{10}{x}\\\\ 1\cdot \:x=9\cdot \:10\\\\ x=90$

$3) \frac{4}{8}=\frac{x}{16}\\\\ \frac{x}{16}=\frac{1}{2}\\\\ \frac{16x}{16}=\frac{1\cdot \:16}{2}\\\\ x=8$

$4)\frac{20}{x}=\frac{0.8}{0.4}\\\\ 20\cdot \:0.4=x\cdot \:0.8\\\\ 8=x\cdot \:0.8\\\\ \frac{x\cdot \:0.8}{0.8}=\frac{8}{0.8}\\\\ x=10$

$5)2x+\frac{1}{x}=\frac{18}{10}\\\\ 2x\cdot \:10x+\frac{1}{x}\cdot \:10x=\frac{18}{10}\cdot \:10x\\\\ 20x^2+10=18x\\\\ x=\frac{9}{20}+i\frac{\sqrt{119}}{20},\:x=\frac{9}{20}-i\frac{\sqrt{119}}{20}$

$6)x+\frac{1}{40}=\frac{2}{16}\\\\ x+\frac{1}{40}=\frac{1}{8}\\\\ x+\frac{1}{40}-\frac{1}{40}=\frac{1}{8}-\frac{1}{40}\\\\ x=\frac{1}{10}$

$7)x+\frac{3}{24}=\frac{5}{8}\\\\ x+\frac{1}{8}=\frac{5}{8}\\\\ x+\frac{1}{8}-\frac{1}{8}=\frac{5}{8}-\frac{1}{8}\\\\ x=\frac{1}{2}$

$8)\frac{5}{100}=\frac{0.25}{x}\\\\ 5x=100\cdot \:0.25\\\\ 5x=25\\\\ \frac{5x}{5}=\frac{25}{5}\\\\ x=5$

$9)\frac{0.6}{4}=\frac{x}{20}\\\\ \frac{x}{20}=\frac{0.6}{4}\\\\ \frac{x}{20}\cdot \:10=\frac{0.6}{4}\cdot \:10\\\\ \frac{x}{2}=\frac{3}{2}\\\\ \frac{2x}{2}=\frac{3\cdot \:2}{2}\\\\ x=3$

$10)\frac{4}{10}=\frac{0.8}{x}\\\\ 4x=10\cdot \:0.8\\\\ 4/10=0.8/x \\ x=2$

$11)\frac{x}{12}=\frac{35}{28}\\\\ \frac{x}{12}=\frac{5}{4}\\\\ \frac{12x}{12}=\frac{5\cdot \:12}{4}\\\\ x=15$

$12)\frac{x}{8}=2x\\\\ \frac{x}{8}\cdot \:8=2x\cdot \:8\\\\ x=16x\\\\ x-16x=16x-16x\\\\ -15x=0\\\\ \frac{-15x}{-15}=\frac{0}{-15}\\\\ x=0$

$13)\frac{x}{8}=\frac{45}{20}\\\\ \frac{x}{8}\cdot \:10=\frac{45}{20}\cdot \:10\\\\ \frac{5x}{4}=\frac{45}{2}\\\\ \frac{4\cdot \:5x}{4}=\frac{45\cdot \:4}{2}\\\\ 5x=90\\\\ \frac{5x}{5}=\frac{90}{5}\\\\ x=18$

$14)\frac{9}{x}=\frac{x}{4}\\\\ 9\cdot \:4=xx\\\\ 36=x^2\\\\ x=6,\:x=-6$

$15)\frac{x}{25}=\frac{4}{x}\\\\ xx=25\cdot \:4\\\\ x^2=100\\\\ x=10$

$16)\frac{x}{3}=\frac{27}{3}\\\\ \frac{x}{3}=9\\\\ \frac{3x}{3}=9\cdot \:3\\\\ x=27$

$17)\frac{x}{16}=\frac{4}{8}\\\\ \frac{x}{16}=\frac{1}{2}\\\\ \frac{16x}{16}=\frac{1\cdot \:16}{2}\\\\ x=8$

Alaaaaa, me cansé jaja; espero te ayude :") .