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d: \(\dfrac{1}{27}:\left(-\dfrac{1}{3}\right)^2+75\%\cdot\left(-\dfrac{2^2}{3}\right)\)
\(=\dfrac{1}{27}:\dfrac{1}{9}+\dfrac{3}{4}\cdot\dfrac{-4}{3}\)
\(=\dfrac{1}{3}-1\)
\(=-\dfrac{2}{3}\)
b) (5/2-3x)=25/9
3x = 5/2-25/9
3x =-5/18
x =-5/18:3
x=-5/54
\(e.\left(x-1\right)^5=-32\)
\(\left(x-1\right)^5=\left(-2\right)^5\)
\(x-1=-2\)
\(x\) \(=-2+1\)
\(x\) \(=-1\)
Vậy \(x=-1\)
a, 5\(\dfrac{4}{27}\) + \(\dfrac{6}{23}\) + 0,25 - \(\dfrac{4}{27}\) + \(\dfrac{17}{23}\)
= 5 + (\(\dfrac{4}{27}\) - \(\dfrac{4}{27}\)) + (\(\dfrac{6}{23}\) + \(\dfrac{17}{23}\)) + 0,25
= 5 + 1 + 0,25
= 6,25
b, 16.(\(\dfrac{1}{2}\))3 - \(\dfrac{3}{5}\): 0,75
= 16.\(\dfrac{1}{8}\) - 0,8
= 2 - 0,8
= 1,2
Bài 1 :
\(-\frac{1}{2}-\left|\frac{3}{7}-x\right|=0,75\)
\(\left|\frac{3}{7}-x\right|=-\frac{1}{2}-0,75\)
\(\left|\frac{3}{7}-x\right|=-\frac{5}{4}\)
Vì x > 0
=> Không tõa mãn điều kiện
Bài 2 :
\(\frac{4}{5}+\frac{3}{2}.\left|x+\frac{1}{4}\right|=\frac{1}{2}\)
\(\frac{3}{2}.\left|x+\frac{1}{4}\right|=\frac{1}{2}-\frac{4}{5}\)
\(\frac{3}{2}.\left|x+\frac{1}{4}\right|=-\frac{3}{10}\)
\(\left|x+\frac{1}{4}\right|=-\frac{3}{10}:\frac{3}{2}\)
\(\left|x+\frac{1}{4}\right|=-\frac{3}{10}.\frac{2}{3}\)
\(\left|x+\frac{1}{4}\right|=-\frac{1}{5}\)
Vì x > 0
Vậy không thõa mãn điều kiện
tui giải kiểu lop7
bài1: bỏ tgtđ thì +- nhé
-1/2 -3/7+x =0,75
x= 47/28
-1/2+3/7-x = 0,75
x= -23/28
\(B=1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+...+\frac{1}{x}\left(1+2+...+x\right)\)
\(=1+\frac{1}{2}\cdot\frac{2\cdot3}{2}+\frac{1}{3}\cdot\frac{3\cdot4}{2}+\frac{1}{4}+\frac{4\cdot5}{2}+...+\frac{1}{x}\cdot\frac{x\left(x+1\right)}{2}\)
\(=1+\frac{3}{2}+\frac{4}{2}+\frac{5}{2}+...+\frac{x+1}{2}\)
\(=\frac{1}{2}\left(2+3+4+...+x+1\right)\)
\(=\frac{1}{2}\cdot\frac{\left(x+1+2\right)\left(x+1-2+1\right)}{2}\)
\(=\frac{1}{2}\cdot\frac{x\left(x+3\right)}{2}=\frac{x\left(x+3\right)}{4}\).
\(\dfrac{1}{2}-\left(40\%-0,75\right)\)
\(=\dfrac{1}{2}-\left(\dfrac{40}{100}-\dfrac{3}{4}\right)\)
\(=\dfrac{1}{2}-\left(\dfrac{2}{5}-\dfrac{3}{4}\right)\)
\(=\dfrac{1}{2}-\left(\dfrac{8}{20}-\dfrac{15}{20}\right)\)
\(=\dfrac{1}{2}-\left(-\dfrac{7}{20}\right)\)
\(=\dfrac{1}{2}+\dfrac{7}{20}\)
\(=\dfrac{10}{20}+\dfrac{7}{20}\)
\(=\dfrac{17}{20}\)
Lời giải:
$\frac{1}{4}-3x+\frac{3}{2}=-0,75$
$3x=\frac{1}{4}+\frac{3}{2}-(-0,75)=2,5$
$\Rightarrow x=2,5:3=\frac{5}{6}$