a: \(0.4\cdot\sqrt{0.25-\sqrt{\dfrac{1}{4}}}=0.4\cdot\sqrt{0.25-0.5}\)(đề này sai rồi bạn)

b: \(\dfrac{3}{2}+2\left(x-1\right)=-5\dfrac{1}{2}\)

\(\Leftrightarrow2\left(x-1\right)=\dfrac{-11}{2}-\dfrac{3}{2}=-7\)

\(\Leftrightarrow x-1=\dfrac{-7}{2}\)

hay \(x=-\dfrac{5}{2}\)

c) 3,6-|x-0,4|=0

     |x-0,4|=3,6-0

     |x-0,4|=3,6

* x-0,4 =3,6                              * x-0,4=-3,6

       x=3,6+0,4                                x= -3,6+0,4

       x=4                                         x=-3,2

         vậy x=4 hoặc x=-3,2

a) 2/3 : x + 5/7 = 3/10

=> 2/3 : x = 3/10 - 5/7 

=> 2/3 : x = -29/70

=> x = 2/3 : -29/70 

=> x = -140/87

b) 3/4 . x - 1/2 = 3/7

3/4 . x = 3/7 + 1/2

3/4 . x = 13/14

x = 13/14 : 3/4 

x = 26/21

c) 3,6 - | x - 0,4 | = 0 

Có 2 TH : 

-) x = 0,4 

-) x - 0 ,4 = -3,6

=> x = -3,2

Chúc bn học tốt 😊😊

a: \(\Leftrightarrow\left(\dfrac{13}{4}:x\right)\cdot\left(-\dfrac{5}{4}\right)=\dfrac{-10}{6}-\dfrac{5}{6}=\dfrac{-15}{6}=\dfrac{-5}{2}\)

\(\Leftrightarrow\dfrac{13}{4}:x=\dfrac{5}{2}\cdot\dfrac{5}{4}=\dfrac{25}{8}\)

hay \(x=\dfrac{13}{4}:\dfrac{25}{8}=\dfrac{13}{4}\cdot\dfrac{8}{25}=\dfrac{26}{25}\)

b: \(\Leftrightarrow\dfrac{3}{4}:x=\dfrac{11}{36}-\dfrac{1}{4}=\dfrac{2}{36}=\dfrac{1}{18}\)

=>\(x=\dfrac{3}{4}:\dfrac{1}{18}=\dfrac{54}{4}=\dfrac{27}{2}\)

c: \(\Leftrightarrow\left(-\dfrac{6}{5}+x\right):\left(-3.6\right)=-\dfrac{7}{4}+\dfrac{1}{4}\cdot8=\dfrac{1}{4}\)

=>x-6/5=-9/10

=>x=3/10

a. -25

b. 0,25

a . ( 2,75 + 125% ) x 5/2 - 0,4 x 2 : 8%                           b . ( 1/3 - 25% ) : 50% + ( 1/3 + 0,25 ) x 1/7

  = ( 2,75 + 1,25 ) x 2,5 - 0,4 x 2 : 0,08                             = ( 1/3 - 1/4 ) : 1/2 + ( 1/3 + 1/4 ) x 1/7

  = 4 x 2,5 - 0,4 x 2 : 0,8                                                   = 1/12 : 1/2 + 1/12 x 1/7

  = 10 - 0,8 : 0,8                                                                = 1/12 x 2 + 1/12 x 1/7

  = 10 - 1                                                                           = 1/12 x ( 2 + 1/7 )

  = 9                                                                                  = 1/12 x 15/7 = 5/28

a) \(\frac{4}{5}\)✖\(\left(\frac{7}{2}+\frac{1}{4}\right)^2\)

= \(\frac{4}{5}\)✖ \((\frac{15}{4})^2\)

= \(\frac{4}{5}\)✖ \(\frac{225}{16}\)

= \(\frac{1}{1}\times\frac{45}{4}\)

= \(\frac{45}{4}\)

mọi người giải giúp mình với ạ

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

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

a, \(\dfrac{3}{7}\)\(x\) - 0,4 = - \(\dfrac{17}{35}\)

    \(\dfrac{3}{7}\)\(x\)         = - \(\dfrac{17}{35}\) + 0,4

     \(\dfrac{3}{7}\)\(x\)       = - \(\dfrac{3}{35}\)

        \(x\)       = - \(\dfrac{3}{35}\): \(\dfrac{3}{7}\)

        \(x\)       = - \(\dfrac{1}{5}\)

b, 0,2.(\(x\) - 3) +2,4 = 10

    0,2.(\(x\) - 3)          = 10 - 2,4

    0,2.(\(x\) - 3)          = 7,6

           \(x\) - 3            = 7,6:0,2

           \(x\) - 3            = 38

            \(x\)                = 38 + 3

             \(x\)                = 41

\(\dfrac{3}{7}x-0,4=\dfrac{-17}{35}\)

\(\dfrac{3}{7}x=\dfrac{-17}{35}+0,4=\dfrac{-34}{70}+\dfrac{28}{70}\)

\(\dfrac{3}{7}x=\dfrac{-6}{70}=\dfrac{-3}{35}\)

\(x=\dfrac{-3}{35}:\dfrac{3}{7}=\dfrac{-3}{35}\cdot\dfrac{7}{3}\)

\(x=\dfrac{3\cdot\left(-1\right)\cdot7}{5\cdot7\cdot3}=-\dfrac{1}{5}\)

b) \(0,2\left(x-3\right)+2,4=10\)

\(0,2\left(x-3\right)=10-2,4=7,6\)

\(x-3=7,6:0,2=38\)

\(x=38+3=41\)

c) \(\left(x:2,2\right)\cdot\dfrac{1}{6}=\dfrac{-3}{8}\cdot\left(0,5-1\dfrac{3}{5}\right)\)

\(\left(x:2,2\right)\cdot\dfrac{1}{6}=\dfrac{-3}{8}\cdot\dfrac{-11}{10}\)

\(x:2,2=\dfrac{-3}{8}\cdot\dfrac{-11}{10}\cdot\dfrac{6}{1}\)

\(x:2,2=\dfrac{-3\cdot\left(-11\right)\cdot2\cdot3}{2\cdot4\cdot10\cdot1}=\dfrac{99}{40}\)

\(x=\dfrac{99}{40}\cdot2,2=\dfrac{99}{40}\cdot\dfrac{22}{10}\)

\(x=\dfrac{99\cdot2\cdot11}{40\cdot2\cdot5}=\dfrac{1089}{200}\)

1/ a/\(-\frac{7}{18}=\left(-\frac{7}{2}\right)\left(\frac{1}{9}\right)\)

b/\(-\frac{7}{18}=\left(-\frac{7}{9}\right):2\)

2/

a/\(\frac{7}{15}\cdot\left(-\frac{3}{8}-\frac{3}{7}\right)=\frac{7}{15}\cdot\left(-\frac{45}{56}\right)=-\frac{3}{8}\)

b/\(\left(-\frac{3}{4}+\frac{2}{5}\right):\frac{3}{7}+\left(\frac{3}{5}+-\frac{4}{4}\right):\frac{3}{7}\)

\(=\left(-\frac{7}{20}\right):\frac{3}{7}+\left(-\frac{2}{5}\right):\frac{3}{7}\)

\(=\left(-\frac{49}{60}\right)+\left(-\frac{14}{15}\right)=-\frac{7}{4}\)

c/\(\frac{2}{3}\cdot\left(-\frac{5}{2}\right)+\frac{10}{15}\cdot\left(-\frac{3}{7}\right)-\frac{2}{3}\cdot\left(-\frac{5}{3}\right)\)

\(=\frac{2}{3}\cdot\left(-\frac{5}{2}-\frac{3}{7}+\frac{5}{3}\right)=-\frac{53}{63}\)

3/

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

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

\(x=-\frac{3}{2}+3-2=-\frac{1}{2}\)

4/ 

a/ Ta có 2 trường hợp:

TH1: \(x-3,5=7,5\)

\(x=7,5+3,5=11\)

TH2: \(x-3,5=-7,5\)

\(x=-7,5+3,5=-4\)

b/ Ta có 2 trường hợp:

TH1:\(x-0,4=3,6\)

\(x=4\)

TH2: \(x-0,4=-3,6\)

\(x=-3.2\)

c/ Ta có 2 trường hợp:

TH1:\(x+\frac{4}{5}=\frac{3}{2}\)

\(x=\frac{7}{10}\)

TH2:\(x+\frac{4}{5}=-\frac{3}{2}\)

\(x=-\frac{32}{10}\)

b. \(\dfrac{45}{100}:3-\dfrac{24,5}{100}:5\)

=\(0,45:3-0,245:5\)

= 0,15 - 0,049

= 0,101

c. 0,56 - \(\dfrac{12}{100}\)+ \(\dfrac{3}{4}-1\)

= 0,56 - 0,12 + 0,75 - 1

= 0,19

d. ( 0,4 x 7 - \(\dfrac{140}{100}\):0,5) x \(\left(\dfrac{2}{100}+\dfrac{4}{100}+\dfrac{6}{100}+...+1\right)\)

= (2,8 - 2,8 ) x (0,02 + 0,04 +0,06 +...+1)

=0

Không có câu A nha!