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Giải:
a)\(\dfrac{3}{4}x-\dfrac{1}{3}=\dfrac{-5}{6}\)
\(\dfrac{3}{4}x=\dfrac{-5}{6}+\dfrac{1}{3}\)
\(\dfrac{3}{4}x=\dfrac{-1}{2}\)
\(x=\dfrac{-1}{2}:\dfrac{3}{4}\)
\(x=\dfrac{-2}{3}\)
b)\(\left(2\dfrac{4}{5}x-0,2\right):\dfrac{4}{5}=\dfrac{7}{8}\)
\(\dfrac{14}{5}x-\dfrac{1}{5}=\dfrac{7}{8}.\dfrac{4}{5}\)
\(\dfrac{14}{5}x-\dfrac{1}{5}=\dfrac{7}{10}\)
\(\dfrac{14}{5}x=\dfrac{7}{10}+\dfrac{1}{5}\)
\(\dfrac{14}{5}x=\dfrac{9}{10}\)
\(x=\dfrac{9}{10}:\dfrac{14}{5}\)
\(x=\dfrac{9}{28}\)
c) \(\dfrac{1}{4}+\dfrac{1}{3}:\left|2x-1\right|=\dfrac{11}{12}\)
\(\dfrac{1}{3}:\left|2x-1\right|=\dfrac{11}{12}-\dfrac{1}{4}\)
\(\dfrac{1}{3}:\left|2x-1\right|=\dfrac{2}{3}\)
\(\left|2x-1\right|=\dfrac{1}{3}:\dfrac{2}{3}\)
\(\left|2x-1\right|=\dfrac{1}{2}\)
⇒2x-1=\(\dfrac{1}{2}\) hoặc 2x-1=\(\dfrac{-1}{2}\)
x=\(\dfrac{3}{4}\) hoặc x=\(\dfrac{1}{4}\)
câu a nha \(\dfrac{3}{4}x-\dfrac{1}{3}=-\dfrac{5}{6}\)
\(\dfrac{3}{4}x=-\dfrac{5}{6}+\dfrac{1}{3}\)
\(\dfrac{3}{4}x=-\dfrac{3}{6}\)
\(x=-\dfrac{3}{6}:\dfrac{3}{4}\)
\(x=-\dfrac{6}{4}.\dfrac{4}{3}\)
\(x=-\dfrac{24}{12}=-2\)
A = 5 + 5 ^ 2 + 5 ^ 3 + ... + 5 ^ 50
5 A = 5 ^ 2 + 5 ^ 3 + 5 ^ 4 + ... + 5 ^ 51
5 A - A = ( 5 ^ 2 + 5 ^ 3 + 5 ^ 4 + ... + 5 ^ 51 )
- ( 5 + 5 ^ 2 + 5 ^ 3 + ... + 5 ^ 50 )
4 A = 5 ^ 51 - 5
A = \(\frac{5^{51}-5}{4}\)
A=5^1+5^21+5^3+...+5^50
5^1A=5(5^1+5^2+5^3+..+5^50)
5A=5^2+5^3+..+5^50+5^51
5A-A=(5^2+5^3+..+5^50+5^51)-(5^1+5^2+5^3+..+5^50)
4A=5^51-5^1
A=(5^51-5^1):4
1: \(x=\dfrac{-1}{2}+\dfrac{3}{4}=\dfrac{-2}{4}+\dfrac{3}{4}=\dfrac{1}{4}\)
2: x-1/5=2/11
nên \(x=\dfrac{2}{11}+\dfrac{1}{5}=\dfrac{10}{55}+\dfrac{11}{55}=\dfrac{21}{55}\)
3: \(x-\dfrac{5}{6}=\dfrac{16}{42}-\dfrac{8}{56}=\dfrac{5}{21}\)
nên \(x=\dfrac{5}{21}+\dfrac{5}{6}=\dfrac{10}{42}+\dfrac{35}{42}=\dfrac{45}{42}=\dfrac{15}{14}\)
4: \(\dfrac{x}{5}=\dfrac{5}{6}-\dfrac{19}{30}=\dfrac{25}{30}-\dfrac{19}{30}=\dfrac{6}{30}=\dfrac{1}{5}\)
nên x=1
9: x-7/8=13/12
nên \(x=\dfrac{13}{12}+\dfrac{7}{8}=\dfrac{26}{24}+\dfrac{21}{24}=\dfrac{47}{24}\)
\(\dfrac{1}{4}+\dfrac{x}{12}=\dfrac{8}{12}\)
\(\dfrac{3}{12}+\dfrac{x}{12}=\dfrac{8}{12}\)
\(\dfrac{3+x}{12}=\dfrac{8}{12}\)
\(\dfrac{x+3}{12}=\dfrac{8}{12}\)
\(=\)\(\dfrac{5}{12}\)
Vậy \(x=5\).
14,58.460+7,29.540.2
= 14,58 . 460 + 7,29 . 2 . 540
= 14,58 . 460 + 14,58 . 540
= 14,58 . ( 460 + 540 )
= 14,58 . 1000
= 14 580
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