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15 tháng 8 2020

Bài làm:

Ta có: \(\left(\frac{1}{2}x+\frac{3}{4}\right)^2\div\left(-\frac{3}{14}\right)=-\frac{7}{24}\)

\(\Leftrightarrow\left(\frac{1}{2}x+\frac{3}{4}\right)^2=\frac{1}{16}=\left(\frac{1}{4}\right)^2\)

\(\Leftrightarrow\orbr{\begin{cases}\frac{1}{2}x+\frac{3}{4}=\frac{1}{4}\\\frac{1}{2}x+\frac{3}{4}=-\frac{1}{4}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\frac{1}{2}x=-\frac{1}{2}\\\frac{1}{2}x=-1\end{cases}}\Rightarrow\orbr{\begin{cases}x=-1\\x=-2\end{cases}}\)

15 tháng 8 2020

(\(\frac{1}{2}\).x+\(\frac{3}{4}\))2: \(\frac{-3}{14}\)=\(\frac{-7}{24}\)
  (\(\frac{1}{2}\).x+\(\frac{3}{4}\))=\(\frac{1}{16}\)
   (\(\frac{1}{2}\).x+\(\frac{3}{4}\))2=(\(\frac{1}{4}\))2
\(\hept{\begin{cases}\frac{1}{2}.x+\frac{3}{4}=\frac{1}{4}\\\frac{1}{2}.x+\frac{3}{4}=\frac{-1}{4}\end{cases}}\)<=>\(\hept{\begin{cases}\frac{1}{2}.x=\frac{1}{4}-\frac{3}{4}\\\frac{1}{2}.x=\frac{-1}{4}-\frac{3}{4}\end{cases}}\)<=>\(\hept{\begin{cases}\frac{1}{2}.x=-\frac{1}{2}\\\frac{1}{2}.x=-1\end{cases}}\)
<=>\(\hept{\begin{cases}x=\frac{-1}{2}:\frac{1}{2}=-1\\x=-1:\frac{1}{2}=-2\end{cases}}\)

a) Ta có: \(\dfrac{7\cdot25}{14\cdot10}\)

\(=\dfrac{7\cdot5\cdot5}{7\cdot2\cdot2\cdot5}\)

\(=\dfrac{5}{4}\)

b) Ta có: \(\dfrac{24\cdot15-14\cdot9}{36\cdot12}\)

\(=\dfrac{9\cdot8\cdot5-14\cdot9}{36\cdot12}\)

\(=\dfrac{9\cdot\left(8\cdot5-14\right)}{9\cdot4\cdot12}\)

\(=\dfrac{40-14}{4\cdot12}\)

\(=\dfrac{13}{24}\)

7 tháng 3 2021

a) \(\dfrac{7.25}{14.10}\)

\(\dfrac{7.5.5}{7.2.5.2}\)

\(\dfrac{5}{4}\)

c) \(\dfrac{1^3.3^2}{6^3.5}\)

\(\dfrac{3^2}{\left(2.3\right)^3.5}\)

\(\dfrac{1}{2^3.3.5}\)

\(\dfrac{1}{120}\)

28 tháng 3 2017

a) \(\frac{3}{4}\)+ \(\frac{4}{3}\):\(\frac{2}{7}\)\(\frac{4}{3}\)

=\(\frac{3}{4}\) +\(\frac{4}{3}\) .\(\frac{7}{2}\) -\(\frac{4}{3}\)

=\(\frac{3}{4}\) + \(\frac{14}{3}\) -\(\frac{4}{3}\)

=\(\frac{9}{12}\) +\(\frac{56}{12}\)

=\(\frac{56}{12}\) - \(\frac{4}{3}\)

=\(\frac{56}{12}\)\(\frac{16}{12}\)

=\(\frac{10}{3}\)

b) \(\frac{5}{2}\) - [\(\frac{1}{2}\) + (\(\frac{-2}{3}\)) .\(\frac{6}{5}\)].\(\frac{2}{5}\)

= \(\frac{5}{2}\) - [\(\frac{1}{2}\) + (\(\frac{-4}{5}\))].\(\frac{2}{5}\)

= \(\frac{5}{2}\) - (\(\frac{5}{10}\) +\(\frac{-8}{10}\)).\(\frac{2}{5}\)

=\(\frac{5}{2}\)-\(\frac{3}{10}\).\(\frac{2}{5}\)

=\(\frac{5}{2}\)-\(\frac{3}{25}\)

= \(\frac{125}{50}\)-\(\frac{6}{50}\)

\(\frac{119}{50}\)

(Mình không chắc chắn lắm!^^)

a: =2/3+1/5*10/7

=2/3+2/7

=14/21+6/21=20/21

b: \(=\dfrac{1}{2}\cdot\dfrac{-3+2}{4}=\dfrac{1}{2}\cdot\dfrac{-1}{4}=\dfrac{-1}{8}\)

c: \(=\dfrac{3}{4}+\dfrac{9}{5}:\dfrac{3}{2}-1\)

=-1/4+9/5*2/3

=-1/4+18/15

=-1/4+6/5

=-5/20+24/20=19/20

d: \(=\dfrac{3}{2}\cdot\left(\dfrac{7}{3}-\dfrac{5}{3}\cdot4\right)\)

\(=\dfrac{7}{2}-\dfrac{5}{2}\cdot4=\dfrac{7}{2}-\dfrac{20}{2}=\dfrac{-13}{2}\)

15 tháng 4 2019

\(2\left(x-5\right)+3\left(2-3x\right)=5x+7\)

\(\Leftrightarrow2x-10+6-9x=5x+7\)

\(\Leftrightarrow\left(2x-9x\right)+\left(6-10\right)=5x+7\)

\(\Leftrightarrow-7x-4=5x+7\)

\(\Leftrightarrow-7x-5x=4+7\)

\(\Leftrightarrow-12x=11\)

\(\Leftrightarrow x=\frac{-11}{12}\)

15 tháng 4 2019

\(3x-5\left(x-2\right)+7=4x-12\)

\(\Leftrightarrow3x-5x-10+7=4x-12\)

\(\Leftrightarrow\left(3x-5x\right)-\left(10-7\right)=4x-12\)

\(\Leftrightarrow-2x-3=4x-12\)

\(\Leftrightarrow-2x-4x=3-12\)

\(\Leftrightarrow-6x=-15\)

\(\Leftrightarrow x=\frac{-15}{-6}=\frac{5}{2}\)

18 tháng 2 2019

1 + 2 + ... + 9 + 10 x 0 + 1 + 2 + 4 + 3

= 45 + 0 +10

= 55

Chúc bạn học tốt !!!

Bài làm

   1 + 2 + 3 +  4 + 5 + 6 + 7 + 8 + 9 + 10 x 0 + 1 + 2 + 4 + 3 

=  1 + 2 + 3 +  4 + 5 + 6 + 7 + 8 + 9 + 0 + 1 + 2 + 4 + 3 

=  ( 1 + 9 ) + ( 2 + 8 ) + ( 3 + 7 ) + ( 4 + 6 ) + ( 5 + 1 + 2 + 3 ) + 4 + 0

=      10      +     10     +     10      +      10     +          10            + 4

= 54

# Chúc bạn học tốt #

25 tháng 3 2022

a,2/3 + 4/-5 x 20/16 =-1/3

b,(1/3+4/6).(2/7+9/14)=13/14

c,(2/3 - 3/4).(1/2- -3/5)=-11/120

25 tháng 3 2022

a,2/3 + 4/-5 x 20/16
=2/3-1
=-1/3
b,(1/3+4/6).(2/7+9/14)
=1.13/14
=13/14
c,(2/3 - 3/4).(1/2- -3/5)
=-1/12.-1/10
=1/120