Question

Aflați termenul necunoscut al proporției :

Answer 1

a)

$\frac{2\frac{1}{3} }{0,5}=\frac{3x}{9}\\ \frac{\frac{7}{3} }{\frac{5}{10} } =\frac{x}{3}\\ \frac{7}{3} *\frac{10}{5}=\frac{x}{3} \\\frac{14}{3} =\frac{x}{3} \\= > x=14$

b)

$\frac{14,3}{x-2}=\frac{10}{2,5}\\ \frac{\frac{143}{10} }{x-2}=10*\frac{10}{25} \\\frac{143}{10} \frac{1}{x-2} =4\\\frac{143}{10(x-2)}=4\\ 4*10(x-2)=143\\40x-80=143\\40x=143+80\\40x=223\\x=223/40$

c)

$\frac{14}{25\frac{1}{5} } =\frac{15}{2x-1}\\ \frac{14}{\frac{126}{5} } =\frac{15}{2x-1}\\14*\frac{5}{126}=\frac{15}{2x-1}\\\frac{14*5}{126} =\frac{7*5}{63} =\frac{5}{9}\\= > \frac{5}{9} =\frac{15}{2x-1}\\5(2x-1)=9*15\\ 10x-5=135\\10x=140\\x=140/10\\x=14$