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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=\(\frac{55}{3}\)
x nhân 9 nhân x=120
x nhân (9+1)=120
x nhân 10 =120
x =120:10
x =12
x-x nhân 1/6=3/5
x nhân (1/6+1)=3/5
x nhân 7/6=3/5
x =3/5:7/6
x =18/35
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
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
<=> 10x-9,9=0,1.x+9,9
<=> 100x-99=x+99
<=> 99x=99+99
<=> 99x=198 => x=198:99 => x=2
Đáp số: x=2
x nhân 12,35+x nhân 12,56=875
x nhân (12,35+12,65) =875
x nhân 25 =875
x =875 :25
x =35
x . 12,35 + x . 12,65 = 875
x . ( 12,35 + 12,65 ) = 875
x . 25 = 875
x = 875 : 25
x = 35
X : 8 x 32 + X : 3 x 18 - X : 5 x 10 = 120
X : (32 :8 ) + X : ( 18 :3 ) - X : ( 10 : 5 )
X = ( 4 +6 -2 )=120
X= 8 = 120
X=120 :8
X = 15
\(x\div8\times32+x\div3\times18-x\div5\times10=120\)
\(x\div\left(8\div32\right)+x\div\left(3\div18\right)-x\div\left(5\div10\right)=120\)
\(x\div\frac{1}{4}+x\div\frac{1}{6}-x\div\frac{1}{2}=120\)
\(x\div\left(\frac{1}{4}+\frac{1}{6}-\frac{1}{2}\right)=120\)
\(x\div\frac{-1}{12}=120\)
\(x=120\times\frac{-1}{12}\)
\(x=-10\)