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12,65 x X + X x 27,35 = 9
(12,65 + 27,35) x X = 9
40 x X = 9
X = 9 : 40
X = 0,225
a)12,65 x x + x x 27,35 = 9
x x ( 12,65 + 27,35 ) = 9
x x 40 = 9
x=\(\frac{9}{40}\)
b)11x(x-5)=5x(x+11)
11x-55=5x+55
11x-55-5x-55=0
6x-110=0
6x=110
x=\(\frac{55}{3}\)
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\(\frac{2}{3}+\frac{1}{3}\times x+2\frac{2}{3}\times x=\frac{8}{3}\)
\(\frac{1}{3}\times x+\frac{8}{3}\times x=\frac{8}{3}-\frac{2}{3}=\frac{6}{3}=2\)
\(\left(\frac{1}{3}+\frac{8}{3}\right)\times x=2\)
\(3\times x=2\)
\(x=2\div3=\frac{2}{3}\)
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Ta thấy:
\(\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+...+\frac{1}{17\cdot19}\)
\(=\frac{1}{2}\cdot\frac{2}{3\cdot5}+\frac{1}{2}\cdot\frac{2}{5\cdot7}+...+\frac{1}{2}\cdot\frac{2}{17\cdot19}\)
\(=\frac{1}{2}\cdot\left(\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+...+\frac{2}{17\cdot19}\right)\)
\(=\frac{1}{2}\cdot\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{17}-\frac{1}{19}\right)\)
\(=\frac{1}{2}\cdot\left[\frac{1}{3}-\left(\frac{1}{5}-\frac{1}{5}\right)-\left(\frac{1}{7}-\frac{1}{7}\right)-...-\left(\frac{1}{17}-\frac{1}{17}\right)-\frac{1}{19}\right]\)
\(=\frac{1}{2}\cdot\left(\frac{1}{3}-0-0-...-0-\frac{1}{19}\right)\)
\(=\frac{1}{2}\cdot\left(\frac{1}{3}-\frac{1}{19}\right)\)
\(=\frac{1}{2}\cdot\left(\frac{19}{57}-\frac{3}{57}\right)\)
\(=\frac{1}{2}\cdot\frac{16}{57}\)
\(=\frac{1\cdot16}{2\cdot57}\)
\(=\frac{8}{57}\)
Khi đó:
\(\left(\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+...+\frac{1}{17\cdot19}\right)\cdot114-0,2\cdot\left(x-1\right)=10\)
\(\Rightarrow\frac{8}{57}\cdot114-\frac{1}{5}\cdot\left(x-1\right)=10\)
\(\Rightarrow8\cdot2-\left(x-1\right)\cdot\frac{1}{5}=10\)
\(\Rightarrow16-\frac{x-1}{5}=10\)
\(\Rightarrow\frac{x-1}{5}=16-10\)
\(\Rightarrow\frac{x-1}{5}=6\)
\(\Rightarrow x-1=6\cdot5\)
\(\Rightarrow x-1=30\)
\(\Rightarrow x=30+1\)
\(\Rightarrow x=31\)
Vậy x = 31
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a ] mình thấy bạn hình như ghi sai đề
b ] x : [ 25 + 417 ] = 138 = x : 442
x = 442 x 138 = 60996
24 x 36 + 18 x 24 + 18 x 45 - 18 x 7 = 18 x 24 x 2 + 18 x 24 + 18 x 45 - 18 x 7 =
18 x ( 48 + 24 + 45 - 7 ) = 18 x 110 = 1980
\(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}=\frac{27+9+3+1}{81}=\frac{40}{81}\)
\(\frac{3}{5}< x< \frac{4}{5}\) | \(x=\frac{31}{50}\)
3,5 < x < 3,6 | x = 3,51
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1/1x2=1 - 1/2
1/2x3= 1/2 - 1/3
2/1x3= 1 - 1/3 ( 3-1=2= tử thì tách luôn đc thế này)
2/3x5= 1/3 - 1/5 ( như câu trên )
a/nx(n+a) = 1/a - 1/n+a (cái này tổng quát nè )
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`75/20 - x = 3/2 xx 10`
`15/4 - x = 15`
`x = 15/4 - 15`
`x = -45/4`
`(12 xx 15) - X xx 1/4 = 120 xx 1/4`
`180 - X xx 1/4 = 30`
`X xx 1/4 = 180-30`
`X xx 1/4 = 150`
`X = 150 : 1/4`
`X = 600`
\(\dfrac{15}{4}-x=15\)
\(x=\dfrac{15}{4}-15\)
\(x=-\dfrac{45}{4}\)
\(\left(12\times15\right)-\dfrac{1}{4}x=120\times\dfrac{1}{4}\)
\(180-\dfrac{1}{4}x=30\)
\(-\dfrac{1}{4}x=30-180\)
\(-\dfrac{1}{4}x=-150\)
\(-x=-150:\dfrac{1}{4}\)
\(-x=-150\times4\)
\(-x=-600\)
\(x=600\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:460+850x4=a+200/4
=>800=a+200/4
=>800x4=a+200
=>3200=a+200
=>a=3200-200=3000
ủng hộ nhak
460+85x4=(X+200):4
460+340=(X+200):4
800 =(X+200):4
X+200=800x4
X+200= 3200
X = 3200-200
X = 3000.
K nhé Nguyễn Phương Chi.
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