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a, Ta có : \(-\dfrac{3}{2}-2x+\dfrac{3}{4}=-2\)
\(\Rightarrow-2x=-2+\dfrac{3}{2}-\dfrac{3}{4}=-\dfrac{5}{4}\)
\(\Rightarrow x=\dfrac{5}{8}\)
Vậy ...
b, Ta có : \(\left(-\dfrac{2}{3}x-\dfrac{3}{5}\right)\left(-\dfrac{3}{2}-\dfrac{10}{3}\right)=\dfrac{2}{5}\)
\(\Rightarrow-\dfrac{29}{6}\left(-\dfrac{2}{3}x-\dfrac{3}{5}\right)=\dfrac{2}{5}\)
\(\Rightarrow-\dfrac{2}{3}x-\dfrac{3}{5}=-\dfrac{12}{145}\)
\(\Rightarrow-\dfrac{2}{3}x=-\dfrac{12}{145}+\dfrac{3}{5}=\dfrac{15}{29}\)
\(\Rightarrow x=-\dfrac{45}{58}\)
Vậy...
1,
\(\frac{25}{12}+\left(\frac{-4}{12}\right)=\frac{7}{4}\)
\(\frac{-10}{8}+\frac{15}{4}=\frac{5}{2}\)
\(\frac{3}{8}+\frac{-14}{6}=\frac{-47}{24}\)
\(\frac{350}{150}+\left(\frac{-200}{360}\right)=\frac{16}{9}\)
\([\frac{5}{8}+\left(\frac{-3}{4}\right)]+\frac{15}{6}=\frac{-1}{8}+\frac{15}{6}=\frac{19}{8}\)
\(\frac{7}{3}+[\left(\frac{-5}{6}\right)+\left(\frac{-2}{3}\right)]=\frac{7}{3}+\left(\frac{-3}{2}\right)=\frac{5}{6}\)
\(\frac{1}{5}\div\frac{1}{10}-\frac{1}{3}\cdot\left(\frac{6}{5}-\frac{9}{4}\right)^2=2-\frac{1}{3}\cdot-\frac{21}{20}^2\)
\(=2-\frac{1}{3}\cdot\frac{441}{400}\)
\(=2-\frac{147}{400}=\frac{800}{400}-\frac{147}{400}=\frac{653}{400}\)
Chúc chị/anh học tốt.
\(\frac{1}{5}:\frac{1}{10}-\frac{1}{3}\left(\frac{6}{5}-\frac{9}{4}\right)^2\)
\(=2-\frac{1}{3}\left[\frac{\left(-21\right)}{20}\right]^2\)
\(=2-\frac{1}{3}\cdot\frac{441}{400}\)( số âm. số âm = số dương )
\(=2-\frac{147}{400}\)
\(=\frac{800-147}{400}\)
\(=\frac{653}{400}=1\frac{253}{400}=1,6325\)
a, (-0,2)2 \(\times\) 5 - \(\dfrac{2^{13}\times27^3}{4^6\times9^5}\)
= 0,04 \(\times\) 5 - \(\dfrac{2^{13}\times3^9}{2^{12}\times3^{10}}\)
= 0,2 - \(\dfrac{2}{3}\)
= \(\dfrac{2}{10}\) - \(\dfrac{2}{3}\)
= - \(\dfrac{7}{15}\)
b, \(\dfrac{5^6+2^2.25^3+2^3.125^2}{26.5^6}\)
= \(\dfrac{5^6+4.5^6+8.5^6}{26.5^6}\)
= \(\dfrac{5^6.\left(1+4+8\right)}{26.5^6}\)
= \(\dfrac{1}{2}\)
`B=-3-2/3+3/5(-10/9-25/3)-5/6`
`=-3-2/3-5/6+3/5(-10/9-50/9)`
`=-3-4/6-5/6+3/5*(-60)/9`
`=-3-9/6-4`
`=-7-3/2=-17/2`
Lời giải:
\(B=-3-\frac{2}{3}+\frac{3}{5}(\frac{-10}{9}-\frac{25}{3})-\frac{5}{6}\)
\(=-3-(\frac{2}{3}+\frac{5}{6})+\frac{3}{5}.(\frac{-10}{9}-\frac{75}{9})\)
\(=-3-\frac{4+5}{6}+\frac{3}{5}.\frac{-85}{9}=-3-\frac{9}{6}-\frac{17}{3}=-(3+\frac{9}{6}+\frac{34}{6})=\frac{-61}{6}\)