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Ta có: 85 x a = 34 x 125 (nhân chéo)
85a = 4250
a = 4250 : 85
a = 50
Vậy a= 50 thì \(\frac{a}{125}\text{=}\frac{34}{85}\)
\(\frac{a}{125}=\frac{2}{5}\)=> a = 125 : 5 x 2 = 50
Vậy a = 50
\(\left(a\right)\frac{34-x}{30}=\frac{5}{6}\)
\(\frac{34-x}{30}=\frac{25}{30}\)
34 - x = 25
x = 34 - 25 = 9
\(\left(b\right)\frac{x+13}{34}=\frac{12}{17}\)
\(\frac{x+13}{34}=\frac{24}{34}\)
x + 13 = 24
x = 24 - 13 = 11
\(\left(c\right)\left(x+\frac{1}{3}\right)+\left(x+\frac{1}{9}\right)+\left(x+\frac{1}{27}\right)+\left(x+\frac{1}{81}\right)=\frac{56}{81}\)
\(4x+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}=\frac{56}{81}\)
Đặt \(A=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}\)
Ta có : \(3A=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}\)
\(3A-A=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}-\frac{1}{3}-\frac{1}{9}-\frac{1}{27}-\frac{1}{81}\)
\(2A=1-\frac{1}{81}=\frac{80}{81}\)
\(A=\frac{80}{81}\div2=\frac{40}{81}\)
\(\Rightarrow4x+\frac{40}{81}=\frac{56}{81}\)
\(4x=\frac{56}{81}-\frac{40}{81}\)
\(4x=\frac{16}{81}\)
\(x=\frac{16}{81}\div4=\frac{4}{81}\)
Ta có 460+850x4 = a+200/4
=> 800=a+200/4
=> 800x4=a+200
=> 3200=a+200
=>a=3200-200=3000
9( 1/4.5 + 1/ 5.6 +.....+1/35.36)
=9 ( 1/4 - 1/5 +1/5 -1/6 +1/6 -1/7 +........+1/35-1/36 )
= 9(1/4 - 1/ 36)
=9.2/9=2
A = 1/2 + 1/6 + 1/12 + .. + 1/110
A = 1/1 x 2 + 1/ 2 x 3 + 1/3 x 4 + ... + 1/10 x 11
A = 1/1 - 1/2 + 1/2 -1/3 + 13 - 1/4 + ... + 1/10 - 1/11
A = 1/1 -1/10
A = 10/10 - 1/10
A = 9/10
A=1/2+1/6+1/12+...+1/110
A=1/1.2+1/2.3+1/3.4+....+1/10.11
A=1-1/2+1/2-1/3+1/3-1/4+....+1/10-1/11
A=1-1/11
A=10/11