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a)(x.0,25+1999)x2000=(53+1999)x2000
(x.0,25+1999)=53+1999
x.0,25=53
x=53x4
x=210
a)(x.0,25+1999)x2000=(53+1999)x2000
(x.0,25+1999)=53+1999
x.0,25=53
x=53x4
x=210
k mik đi
\(A=\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+...+\frac{2}{399}\)
=>\(A=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{19.21}\)
=>\(A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{19}-\frac{1}{21}\)
=>\(A=\frac{1}{3}-\frac{1}{21}\)
=>\(A=\frac{2}{7}\)
\(71+65\cdot4=\frac{x+140}{x}+260\)
\(71+260=\frac{x+140}{x}+260\)
\(71=\frac{x}{x}+\frac{140}{x}\)
\(71=1+\frac{140}{x}\)
\(71-1=\frac{140}{x}\)
\(70=\frac{140}{x};\Rightarrow x=2\)
\(71+65\times4=\frac{x+140}{x}+260\)
\(71+260=\frac{x+140}{x}+260\)
\(71=\frac{x+140}{x}\)
\(\Rightarrow71x=x+140\)
\(\Rightarrow71x-x=140\)
\(\Rightarrow70x=140\)
\(\Rightarrow x=2\)
b1:bạn rút gọn các phân số trên cho 2 rùi có tử là 5 , sau đó thì dễ
\(\frac{1}{2.4}+\frac{1}{4.6}+...+\frac{1}{98.100}\)
\(=\frac{1}{2}\left(\frac{2}{2.4}+\frac{2}{4.6}+...+\frac{2}{98.100}\right)\)
\(=\frac{1}{2}\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{98}-\frac{1}{100}\right)\)
\(=\frac{1}{2}\left(\frac{1}{2}-\frac{1}{100}\right)=\frac{1}{2}.\frac{49}{100}=\frac{49}{200}\)
\(\frac{10}{56}+\frac{10}{140}+\frac{10}{260}+...+\frac{10}{1400}=\frac{5}{3}\left(\frac{3}{28}+\frac{3}{70}+\frac{3}{130}+...+\frac{3}{700}\right)\)
\(=\frac{5}{3}\left(\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+...+\frac{3}{25.28}\right)=\frac{5}{3}\left(\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+...+\frac{1}{25}-\frac{1}{28}\right)\)
\(=\frac{5}{3}\left(\frac{1}{4}-\frac{1}{28}\right)=\frac{5}{3}.\frac{3}{14}=\frac{5}{14}\)
a) 3/x-7 = 27/135
3/x-7 = 3/15
x - 7 = 15
x = 15 + 7
x = 22
a) \(\frac{3}{x-7}=\frac{27}{135}\)
\(\Rightarrow\)\(\left(x-7\right).27=3.135\)
\(\Rightarrow\)\(\left(x-7\right).27=405\)
\(\Rightarrow\)\(x-7=15\)
\(\Rightarrow\)\(x=22\)
Vậy \(x=22\)
b ) \(71+65.4=\frac{x+140}{x}+260\)
\(71+260=\frac{x+140}{x}+260\)
\(331=\frac{x+140}{x}+260\)
\(331-260=\frac{x+140}{x}\)
\(71=\frac{x+140}{x}\)
\(71=\frac{x}{x}+\frac{140}{x}\)
\(71=1+\frac{140}{x}\)
\(70=\frac{140}{x}\)
\(x=140\div70\)
\(x=20\)
Vậy \(x=20\)
#TQY
Ta có: 75%.x + \(\frac{1}{5}\).x = \(\frac{1}{6}\)
\(\frac{3}{4}\cdot x+\frac{1}{5}\cdot x=\frac{1}{6}\)
\(x\left(\frac{3}{4}+\frac{1}{5}\right)=\frac{1}{6}\)
\(\frac{19}{20}x=\frac{1}{6}\)
\(x=\frac{1}{6}:\frac{19}{20}=\frac{10}{57}\)
tích nha
75%.x+1/5.x=1/6 3/4.x+1/5.x=1/6 x.(3/4+1/5)=1/6 : x.19/20=1/6 suy ra x=1/6:19/20=1/6.20/19=10/57
71 + 65 * 4 = \(\frac{x+140}{x}\) + 260
71 + 260 = \(\frac{x}{x}+\frac{140}{x}\) + 260
⇒ 1 + 140 : x = 71
⇒ 140 : x = 70
⇒ x = 2
Vậy x = 2