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( 3,5 + 2 x X ) x \(2\frac{2}{3}=9\frac{3}{1}\)
3,5 + 2 x X \(=9\frac{3}{1}:2\frac{2}{3}\)
3,5 + 2 x X \(=\frac{9}{2}\)
3,5 + 2 x X \(=4,5\)
2 x X = 4,5 - 3,5
2 x X = 1
X = 1 : 2
X = 0,5
Nếu mình đúng thì các bạn k mình nhé
\(\frac{1}{5.8}+\frac{1}{8.11}+\frac{1}{11.14}+...+\frac{1}{n.\left(n+3\right)}\)=\(\frac{1}{3}\)(\(\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{n}+\frac{1}{n+3}\))=\(\frac{1}{5}-\frac{1}{n+3}=\frac{101}{1540}:\frac{1}{3}=\frac{303}{1540}\)
=>\(\frac{1}{n+3}=\frac{1}{5}-\frac{303}{1540}=\frac{1}{308}\)vậy n= 308+3=311
Đặt A=\(\frac{1}{3}.5+\frac{1}{5}.7+...+\frac{1}{97}.99\)
=>A=\(\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{97.99}\)
=>2A=\(\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{97.99}\)
=>2A=\(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{99}\)
=>2A=\(\frac{1}{3}-\frac{1}{99}=\frac{33}{99}-\frac{1}{99}=\frac{32}{99}\)
=>A=\(\frac{32}{99}:2=\frac{32}{99}.\frac{1}{2}=\frac{32}{198}=\frac{16}{99}\)
\(\dfrac{1}{3}\cdot x+\dfrac{1}{6}=3\dfrac{1}{2}\)
\(\dfrac{1}{3}\cdot x+\dfrac{1}{6}=\dfrac{7}{2}\)
\(\dfrac{1}{3}\cdot x=\dfrac{7}{2}-\dfrac{1}{6}\)
\(\dfrac{1}{3}\cdot x=\dfrac{10}{3}\)
\(x=\dfrac{10}{3}\div\dfrac{1}{3}\)
\(x=10\)