\(a,\left(4\frac{1}{2}-\frac{2}{5}x\right):1\frac{3}{4}=\frac{11}{14}\)

\(\Rightarrow\left(\frac{9}{2}-\frac{2}{5}x\right):\frac{7}{4}=\frac{11}{4}\)

\(\Rightarrow\left(\frac{9}{2}-\frac{2}{5}x\right)=\frac{11}{4}\cdot\frac{7}{4}\)

\(\Rightarrow\left(\frac{9}{2}-\frac{2}{5}x\right)=\frac{77}{16}\)

\(\Rightarrow\frac{9}{2}-\frac{2}{5}x=\frac{77}{16}\)

\(\Rightarrow-\frac{2}{5}x=\frac{77}{16}-\frac{9}{2}\)

\(\Rightarrow-\frac{2}{5}x=\frac{5}{16}\)

\(\Rightarrow x=\frac{5}{16}:\left(-\frac{2}{5}\right)\)

\(\Rightarrow x=-\frac{25}{32}\)

\(b,\frac{2}{3}\cdot x-\frac{2}{5}x=\frac{9}{3}\)

\(\Rightarrow x\left(\frac{2}{3}-\frac{2}{5}\right)=\frac{8}{3}\)

\(\Rightarrow x\cdot\frac{4}{15}=\frac{8}{3}\)

\(\Rightarrow x=\frac{8}{3}:\frac{4}{15}\)

\(\Rightarrow x=10\)

\(c,\frac{-2}{3}|x|+1\frac{1}{2}=\frac{2}{5}\)

\(\Rightarrow\frac{-2}{3}|x|+\frac{3}{2}=\frac{2}{5}\)

\(\Rightarrow\frac{-2}{3}|x|=\frac{2}{5}-\frac{3}{2}\)

\(\Rightarrow\frac{-2}{3}|x|=-\frac{11}{10}\)

\(\Rightarrow|x|=\frac{-11}{10}:\frac{-2}{3}\)

\(\Rightarrow|x|=\frac{33}{20}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{33}{20}\\x=-\frac{33}{20}\end{cases}}\)

\(d,|2x-\frac{1}{3}|+\frac{1}{6}=\frac{3}{4}\)

\(\Rightarrow|2x-\frac{1}{3}|=\frac{3}{4}-\frac{1}{6}\)

\(\Rightarrow|2x-\frac{1}{3}|=\frac{7}{12}\)

\(\Rightarrow\orbr{\begin{cases}2x-\frac{1}{3}=\frac{7}{12}\\2x-\frac{1}{3}=-\frac{7}{12}\end{cases}\Rightarrow\orbr{\begin{cases}2x=\frac{11}{12}\\2x=-\frac{1}{4}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{11}{24}\\x=-\frac{1}{8}\end{cases}}}\)

Cuối cùng cũng có 2 người trả lời !!!😅😅😅

a)

\(3\frac{4}{5}:40\frac{8}{15}=0,25:x\)

\(\Rightarrow\frac{19}{5}:\frac{608}{15}=\frac{1}{4}.x\)

\(\Rightarrow\frac{1}{4}.x=\frac{3}{32}\)

\(\Rightarrow x=\frac{3}{8}\)

Vậy x = 3 / 8

b) \(\frac{5}{6}:x=20:3\)

\(\Rightarrow\frac{5}{6x}=\frac{20}{3}\)

\(\Rightarrow120x=15\)

\(\Rightarrow x=\frac{1}{5}\)

Vậy x = 1 / 5

c)

\(x:2,5=0,003:0,75\)

\(\Rightarrow x.\frac{2}{5}=\frac{3}{1000}.\frac{4}{3}\)

\(\Rightarrow x.\frac{2}{5}=\frac{1}{250}\)

\(\Rightarrow x=\frac{1}{100}\)

d)

\(\frac{2}{3}:0,4=x:\frac{4}{5}\)

\(\Rightarrow\frac{2}{3}:\frac{2}{5}=\frac{5x}{4}\)

\(\Rightarrow\frac{5x}{4}=\frac{5}{3}\)

\(\Rightarrow15x=20\)

\(\Rightarrow x=\frac{4}{3}\)

Vậy x = 4 / 3

a) \(3,6-\left|x-0,4\right|=0\)

\(\Leftrightarrow\left|x-0,4\right|=3,6\)

\(\Leftrightarrow\left[{}\begin{matrix}x-0,4=3,6\\x-0,4=-3,6\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-3,2\end{matrix}\right.\)

Vậy \(x\in\left\{4;-3,2\right\}\)

b) Ta có:

\(\frac{x}{2}=y=\frac{z}{3}=\frac{2y}{2}=\frac{x-2y+z}{2-2+3}=\frac{210}{3}=70\)

\(\Rightarrow\left\{{}\begin{matrix}\frac{x}{2}=70\\y=70\\\frac{z}{3}=70\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=140\\y=70\\z=210\end{matrix}\right.\)

Vậy \(x=140\); \(y=70\); \(z=210\)

c)\(\left|x+0,25\right|-4=\frac{1}{4}\)

\(\Leftrightarrow\left|x+\frac{1}{4}\right|=\frac{17}{4}\)

\(\Leftrightarrow\left[{}\begin{matrix}x+\frac{1}{4}=\frac{17}{4}\\x+\frac{1}{4}=\frac{-17}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=\frac{-9}{2}\end{matrix}\right.\)

Vậy \(x\in\left\{4;\frac{-9}{2}\right\}\)

d) \(x:\left(0,25\right)^4=\left(0,5\right)^2\)

\(\Leftrightarrow x=\left(0,25\right)^4.\left(0,5\right)^2\)

\(\Leftrightarrow x=\left(0,5\right)^8.\left(0,5\right)^2\)

\(\Leftrightarrow x=\left(0,5\right)^{10}=\left(\frac{1}{2}\right)^{10}=\frac{1}{2^{10}}=\frac{1}{1024}\)

Vậy \(x=\frac{1}{1024}\)

e) \(3^{x-1}+5.3^{x-1}=162\)

\(\Leftrightarrow6.3^{x-1}=162\)

\(\Leftrightarrow3^{x-1}=27\)

\(\Leftrightarrow3^{x-1}=3^3\)

\(\Leftrightarrow x-1=3\)

\(\Leftrightarrow x=4\)

f) \(\frac{x}{-25}=\frac{2}{5}\)

\(\Leftrightarrow x=\left(-25\right).\frac{2}{5}=-10\)

Vậy \(x=-10\)

g) \(\left|x+\frac{3}{4}\right|-\frac{3}{4}=\sqrt{\frac{1}{9}}\)

\(\Leftrightarrow\left|x+\frac{3}{4}\right|-\frac{3}{4}=\frac{1}{3}\)

\(\Leftrightarrow\left|x+\frac{3}{4}\right|=\frac{13}{12}\)

\(\Leftrightarrow\left[{}\begin{matrix}x+\frac{3}{4}=\frac{13}{12}\\x+\frac{3}{4}=-\frac{13}{12}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\frac{1}{3}\\x=-\frac{11}{6}\end{matrix}\right.\)

Vậy \(x\in\left\{\frac{1}{3};-\frac{11}{6}\right\}\)

a) \(3,6-\left|x-0,4\right|=0\)

\(\Rightarrow\left|x-0,4\right|=3,6-0\)

\(\Rightarrow\left|x-0,4\right|=3,6.\)

\(\Rightarrow\left[{}\begin{matrix}x-0,4=3,6\\x-0,4=-3,6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3,6+0,4\\x=\left(-3,6\right)+0,4\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=-3,2\end{matrix}\right.\)

Vậy \(x\in\left\{4;-3,2\right\}.\)

c) \(\left|x+0,25\right|-4=\frac{1}{4}\)

\(\Rightarrow\left|x+\frac{1}{4}\right|=\frac{1}{4}+4\)

\(\Rightarrow\left|x+\frac{1}{4}\right|=\frac{17}{4}.\)

\(\Rightarrow\left[{}\begin{matrix}x+\frac{1}{4}=\frac{17}{4}\\x+\frac{1}{4}=-\frac{17}{4}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{17}{4}-\frac{1}{4}\\x=\left(-\frac{17}{4}\right)-\frac{1}{4}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=-\frac{9}{2}\end{matrix}\right.\)

Vậy \(x\in\left\{4;-\frac{9}{2}\right\}.\)

d) \(x:\left(0,25\right)^4=\left(0,5\right)^2\)

\(\Rightarrow x:\left(0,25\right)^4=0,25\)

\(\Rightarrow x=\left(0,25\right).\left(0,25\right)^4\)

\(\Rightarrow x=\left(0,25\right)^5\)

\(\Rightarrow x=\frac{1}{1024}\)

Vậy \(x=\frac{1}{1024}.\)

Chúc bạn học tốt!

\(\frac{1}{2}\cdot\left(2-x\right)+0,25=x-\frac{5}{2}:0,4+3\)

\(=>\frac{1}{2}\cdot2-\frac{1}{2}x+\frac{1}{4}=x-\frac{5}{2}:\frac{2}{5}+3\)

\(=>1+\frac{1}{4}+\frac{5}{2}\cdot\frac{5}{2}-3=x-\frac{1}{2}x\)

\(=>\frac{4}{4}+\frac{1}{4}+\frac{25}{4}-\frac{12}{4}=\frac{x}{2}\)

\(=>\frac{18}{4}=\frac{x}{2}\)

\(=>\frac{x}{2}=\frac{9}{2}\)

\(=>x=9\)

Nếu bạn chưa hiểu thì bạn hỏi lại mình nhé! Chúc bạn học tốt!

\(\frac{1}{2}\left(2-x\right)+0,25=x-\frac{5}{2}:0,4+3\)

<=> 1-0,5x+0,25=x-6,25+3

<=> 1,5x=1+0,25+6,25-3=4,5

<=> x=4,5:1,5=3

 vậy x=3

\(\frac{1}{2}\cdot\left(2-x\right)+0,25=x-\frac{5}{2}:0,4+3\)

\(=>\frac{1}{2}\cdot2-\frac{1}{2}\cdot x+\frac{1}{4}=x-\frac{5}{2}:\frac{2}{5}+3\)

\(=>1-\frac{1}{2}x+\frac{1}{4}=x-\frac{5}{2}\cdot\frac{5}{2}+\frac{12}{4}\)

\(=>1+\frac{1}{4}+\frac{25}{4}-\frac{12}{4}=x+\frac{1}{2}x\)

\(=>\frac{9}{2}=\frac{3x}{2}\)

\(=>3x=9\)

\(=>x=9:3=3\)

Nếu bạn chưa hiểu thì bạn hỏi lại mình nhé! Chúc bạn học tốt!

\(1\frac{1}{12}:\left(\frac{1}{3}-\frac{1}{4}\right)-\frac{2}{x}=\frac{2}{5}:\left(\frac{1}{2}-\frac{1}{5}\right)\)

\(\frac{13}{12}:\frac{1}{12}-\frac{2}{x}=\frac{2}{5}:\frac{3}{10}\)

\(13-\frac{2}{x}=\frac{4}{3}\)

\(\frac{2}{x}=\frac{35}{3}\)

\(6=35x\)

\(x=\frac{6}{35}\)

 a) \(1\frac{2}{7} = 1 + \frac{2}{7} = \frac{9}{2}\)

\(\begin{array}{l}x:1\frac{2}{7} =  - 3,5\\x:\frac{9}{7} =  - \frac{7}{2}\\x =  - \frac{7}{2}.\frac{9}{7}\\x =  - \frac{9}{2}\end{array}\)

b) \(0,4.x - \frac{1}{5}.x = \frac{3}{4}\)

\(\begin{array}{l}\frac{2}{5}.x - \frac{1}{5}.x = \frac{3}{4}\\\left( {\frac{2}{5} - \frac{1}{5}} \right).x = \frac{3}{4}\\\frac{1}{5}.x = \frac{3}{4}\\x = \frac{3}{4}:\frac{1}{5}\\x = \frac{3}{4}.5\\x = \frac{{15}}{4}\end{array}\)