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a) \(2\frac{1}{4}x-9\frac{1}{4}=20\)
\(\frac{9}{4}x=20+\frac{37}{4}\)
\(\frac{9}{4}x=\frac{80}{4}+\frac{37}{4}\)
\(\frac{9}{4}x=\frac{117}{4}\)
\(x=\frac{117}{4}:\frac{9}{4}\)
\(x=\frac{117}{4}.\frac{4}{9}\)
\(x=13\)
Vậy x=13
a) \(2\frac{1}{4}x-9\frac{1}{4}=20\)
\(\Rightarrow\frac{9}{4}x-\frac{37}{4}=20\)
\(\Rightarrow\frac{9}{4}x=20+\frac{37}{4}\)
\(\Rightarrow\frac{9}{4}x=\frac{117}{4}\)
\(\Rightarrow x=\frac{117}{4}:\frac{9}{4}\)
\(\Rightarrow x=13\)
Vậy x = 13
b) \(0,25x-\frac{1}{5}x=\frac{13}{20}\)
\(\Rightarrow\left(0,25-\frac{1}{5}\right)x=\frac{13}{20}\)
\(\Rightarrow\frac{1}{20}x=\frac{13}{20}\)
\(\Rightarrow x=\frac{13}{20}:\frac{1}{20}\)
\(\Rightarrow x=13\)
Vậy x = 13
a, \(x:3\frac{1}{15}=1\frac{1}{2}\)
\(\Rightarrow x=1\frac{1}{2}\cdot3\frac{1}{15}\)
\(\Rightarrow x=\frac{3}{2}\cdot\frac{46}{15}=\frac{3\cdot46}{2\cdot15}=\frac{1\cdot23}{1\cdot5}=\frac{23}{5}=4\frac{3}{5}\)
\(b)x\cdot\frac{15}{28}=\frac{3}{20}\)
\(\Rightarrow x=\frac{3}{20}:\frac{15}{28}=\frac{3}{20}\cdot\frac{28}{15}=\frac{1}{5}\cdot\frac{7}{5}=\frac{7}{25}\)
Tự làm nốt câu cuối :>
a) \(3x-\frac{1}{5}=\frac{4+x}{2}\)
=> \(\frac{15x-1}{5}=\frac{4+x}{2}\)
=> \(\left(15x-1\right).2=\left(4+x\right).5\)
=> \(30x-2=20+5x\)
=> \(30x-5x=20+2\)
=> \(25x=22\)
=> \(x=\frac{22}{25}\)
b) \(\frac{4}{3}x-1=\frac{4\left(x+1\right)}{3}-\frac{1}{3}\)
=> \(\frac{1}{3}x=\frac{4x+4-1}{3}\)
=> \(\frac{1}{3}x=\frac{4x+3}{3}\)
=> \(3x=3\left(4x+3\right)\)
=> \(3x=12x+9\)
=> \(3x-12x=9\)
=> \(-9x=9\)
=> \(x=9:\left(-9\right)=-1\)
a)\(5\le2.x< 13\)''
\(\frac{5}{2}\le x< \frac{13}{2}\)( chia cho 2)
b)\(5< 4.x+1\le17\)
\(5-1< 4x\le17-1\)( trừ cho 1 )
\(4< 4x\le16\)
\(\frac{4}{4}< x\le\frac{16}{4}\)
\(1< x\le4\)
c) \(x+\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}=\frac{1}{8}\)
\(x+\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}=8\)
\(x+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}=8\)( Áp dụng \(\frac{1}{a.\left(a+1\right)}=\frac{1}{a}-\frac{1}{a+1}\))
\(x+1-\frac{1}{6}=8\)
\(x=8-1+\frac{1}{6}\)
\(x=\frac{43}{6}\)
b, 4x + 4x + 1 = 80
=> 4x + 4x . 4 = 80
=> 4x ( 1 + 4 ) = 80
4x . 5 = 80
4x = 16
Mà: 42 = 16
=> x = 2