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a: =>7(135:x-13)=14

=>135:x-13=2

=>135:x=15

=>x=9

b: =>11x-66-4x=11

=>7x=77

=>x=11

19 tháng 8 2023

\(120+\left(135:x-13\right)\cdot7=134\)

\(\Rightarrow\left(135:x-13\right)\cdot7=134-120\)

\(\Rightarrow\left(135:x-13\right)\cdot7=14\)

\(\Rightarrow135:x-13=14:7\)

\(\Rightarrow135:x=2+13\)

\(\Rightarrow135:x=15\)

\(\Rightarrow x=135:15\)

\(\Rightarrow x=9\)

_______________

\(11\cdot\left(x-6\right)=4\cdot x+11\)

\(\Rightarrow11\cdot x-66=4\cdot x+11\)

\(\Rightarrow11\cdot x-4\cdot x=11+66\)

\(\Rightarrow7\cdot x=77\)

\(\Rightarrow x=77:7\)

\(\Rightarrow x=11\)

8 tháng 6 2023

\(\dfrac{1}{3\times7}+\dfrac{1}{7\times11}+\dfrac{1}{11\times15}+...+\dfrac{1}{a\times\left(a+4\right)}=\dfrac{50}{609}\)

\(\dfrac{1}{4}\times\left(\dfrac{4}{3\times7}+\dfrac{4}{7\times11}+...+\dfrac{4}{a\times\left(a+4\right)}\right)=\dfrac{50}{609}\)

\(\dfrac{1}{3}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+...+\dfrac{1}{a}-\dfrac{1}{a\times4}=\dfrac{50}{609}\div\dfrac{1}{4}\)

\(\dfrac{1}{3}-\dfrac{1}{a\times4}=\dfrac{200}{609}\)

\(\dfrac{1}{a\times4}=\dfrac{1}{3}-\dfrac{200}{609}\)

\(\dfrac{1}{a\times4}=\dfrac{1}{203}\)

\(a\times4=203\)

\(a=\dfrac{203}{4}\)

8 tháng 6 2023

 \(\dfrac{1}{3\times7}\)+\(\dfrac{1}{7\times11}\)+\(\dfrac{1}{11\times15}\)+...+\(\dfrac{1}{a\times\left(a+4\right)}\)  = \(\dfrac{50}{609}\)

 4\(\times\)\(\dfrac{1}{3\times7}\) +\(\dfrac{1}{7\times11}\)+\(\dfrac{1}{11\times15}\)+...+\(\dfrac{1}{a\times\left(a+4\right)}\)) = \(\dfrac{50}{609}\) \(\times\)4

\(\dfrac{4}{3\times7}\)\(\dfrac{4}{7\times11}\)+\(\dfrac{1}{11\times15}\)+...+\(\dfrac{4}{a\times\left(a+4\right)}\) = \(\dfrac{50}{609}\) \(\times\) 4

\(\dfrac{1}{3}\) - \(\dfrac{1}{7}\) + \(\dfrac{1}{7}\) - \(\dfrac{1}{11}\) + \(\dfrac{1}{11}\)-\(\dfrac{1}{15}\)+...+\(\dfrac{1}{a}\)-\(\dfrac{1}{a+4}\) = \(\dfrac{200}{609}\)

\(\dfrac{1}{3}\) - \(\dfrac{1}{a+4}\) = \(\dfrac{200}{609}\)

         \(\dfrac{1}{a+4}\) = \(\dfrac{1}{3}\) - \(\dfrac{200}{609}\)

           \(\dfrac{1}{a+4}\) = \(\dfrac{1}{203}\)

             a + 4  = 203

                 \(a\) = 203 - 4

                 \(a\) = 199

Đáp số: \(a\) = 199 

 

29 tháng 5 2017

a) \(5\frac{8}{17}:x+\frac{-1}{17}:x+3\frac{1}{17}:17\frac{1}{3}=\frac{4}{17}\)

\(\frac{93}{17}:x+\frac{-1}{17}:x+\frac{52}{17}:\frac{52}{3}=\frac{4}{17}\)

\(\left(\frac{93}{17}+\frac{-1}{17}\right):x+\frac{52}{17}.\frac{3}{52}=\frac{4}{17}\)

\(\frac{92}{17}:x+\frac{3}{17}=\frac{4}{17}\)

\(\frac{92}{17}:x=\frac{4}{17}-\frac{3}{17}\)

\(\frac{92}{17}:x=\frac{1}{17}\)

\(x=\frac{92}{17}:\frac{1}{17}\)

\(x=92\)

b) \(\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+...+\frac{1}{x.\left(x+3\right)}=\frac{6}{19}\)

\(\frac{1}{3}.\left(1-\frac{1}{4}\right)+\frac{1}{3}.\left(\frac{1}{4}-\frac{1}{7}\right)+\frac{1}{3}.\left(\frac{1}{7}-\frac{1}{10}\right)+...+\frac{1}{3}.\left(\frac{1}{x}-\frac{1}{x+3}\right)=\frac{6}{19}\)

\(\frac{1}{3}.\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{x}-\frac{1}{x+3}\right)=\frac{6}{19}\)

\(\frac{1}{3}.\left(1-\frac{1}{x+3}\right)=\frac{6}{19}\)

\(1-\frac{1}{x+3}=\frac{6}{19}:\frac{1}{3}\)

\(1-\frac{1}{x+3}=\frac{18}{19}\)

\(\frac{1}{x+3}=1-\frac{18}{19}\)

\(\frac{1}{x+3}=\frac{1}{19}\)

\(\Rightarrow x+3=19\)

\(\Rightarrow x=19-3\)

\(\Rightarrow x=16\)

24 tháng 7 2019

A = \(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)

\(A=\frac{2^{10}.\left(13+65\right)}{2^8.104}=\frac{2^{10}.78}{2^8.104}\)

\(A=\frac{2^2.3}{1.4}=3\)

6 tháng 5 2022

`[-5]/13xx4/11+[-5]/13:11/7+18/13`

`=[-5]/13xx4/11+[-5]/13xx7/11+18/13`

`=[-5]/13xx(4/11+7/11)+18/13`

`=[-5]/13xx11/11+18/13`

`=[-5]/13+18/13=13/13=1`

6 tháng 5 2022

 

-513×411+-513:117+1813

=-513×411+-513×711+1813

=-513×(411+711)+1813

=-513×1111+1813

11 tháng 5 2022

2/7 x X= 2/3     

x = 2/3 : 2/7

x = 7/3

 

x : 7/11 = 22

x = 22 x 7/11

x= 14

11 tháng 5 2022

a,x=2/3:2/7

x=7/3

b,x=22.7/11

x=14

5 tháng 11 2016

vì số nào nhân vs o đều bàng 0 nên x trong cả hai bài trên đều bằng 0

1, x=0

2, x=0

26 tháng 7 2017

a, \(4\times\left(-\dfrac{1}{2}\right)^3-2\times\left(-\dfrac{1}{2}\right)^2+3\times\left(-\dfrac{1}{2}\right)+1\)

\(=\left(-\dfrac{1}{2}\right)\left[\left(4\times-\dfrac{1}{2}\right)-\left(2\times-\dfrac{1}{2}\right)+3\right]+1\)

\(=\left(-\dfrac{1}{2}\right)\left(-2+1+3\right)+1\)

\(=\left(-\dfrac{1}{2}\right)2+1\)

\(=-1+1\)

\(=0\)

@Trịnh Thị Thảo Nhi

29 tháng 4 2018

a, 4×(−12)3−2×(−12)2+3×(−12)+14×(−12)3−2×(−12)2+3×(−12)+1

=(−12)[(4×−12)−(2×−12)+3]+1=(−12)[(4×−12)−(2×−12)+3]+1

=(−12)(−2+1+3)+1=(−12)(−2+1+3)+1

=(−12)2+1=(−12)2+1

=−1+1=−1+1

=0=0