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a)(4,53 . 0,2 + 6,165.3) :2,5 = (0,906 +18,495) : 2,5 = 19,401 : 2,5 =7, 7604
a) \(\left|3,5-x\right|=1,3\)
\(\Rightarrow\left[{}\begin{matrix}3,5-x=1,3\\3,5-x=-1,3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=3,5-1,3\\x=3,5+1,3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2,2\\x=4,8\end{matrix}\right.\)
b) \(1,6-\left|x-0,2\right|=0,4\)
\(\Rightarrow\left|x-0,2\right|=1,2\)
\(\Rightarrow\left[{}\begin{matrix}x-0,2=1,2\\x-0,2=-1,2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=1,2+0,2\\x=-1,2+0,2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=1,4\\x=-1\end{matrix}\right.\)
\(\left|3,5-x\right|=1,3\)
\(\Rightarrow\left[{}\begin{matrix}3,5-x=1,3\Rightarrow x=2,2\\3,5-x=-1,3\Rightarrow x=4,8\end{matrix}\right.\)
\(1,6-\left|x-0,2\right|=0,4\)
\(\Rightarrow\left|x-0,2\right|=1,2\)
\(\Rightarrow\left[{}\begin{matrix}x-0,2=1,2\Rightarrow x=1,4\\x-0,2=-1,2\Rightarrow x=-1\end{matrix}\right.\)
\(\left|x-1,5\right|+\left|2,5-x\right|=0\)
\(\left\{{}\begin{matrix}\left|x-1,5\right|\ge0\\\left|2,5-x\right|\ge0\end{matrix}\right.\)
\(\Rightarrow\left|x-1,5\right|+\left|2,5-x\right|\ge0\)
Dấu "=" xảy ra khi:
\(\left\{{}\begin{matrix}\left|x-1,5\right|=0\Rightarrow x=1,5\\\left|2,5-x\right|=0\Rightarrow x=2,5\end{matrix}\right.\)
\(1,5\ne2,5\Rightarrow x\in\varnothing\)
\(2,5-\frac{2}{3}.\frac{3}{4}+3\frac{1}{6}\)
\(=\frac{5}{2}-\frac{2}{3}.\frac{3}{4}+\frac{19}{6}\)
\(=\frac{3}{4}.\frac{10}{3}-\frac{2}{3}.\frac{3}{4}-\frac{3}{4}.\frac{38}{9}\)
\(=\frac{3}{4}.\left(\frac{10}{3}-\frac{2}{3}-\frac{38}{9}\right)\)
\(=\frac{3}{4}.\left(\frac{30}{9}-\frac{6}{9}-\frac{38}{9}\right)\)
\(=\frac{3}{4}.\frac{-14}{9}\)
\(=-\frac{7}{6}\)
\(2,5-\frac{2}{3}\times\frac{3}{4}+3\frac{1}{6}\)
\(=\frac{5}{2}-\frac{1}{2}+3+\frac{1}{6}\)
\(=2+3+\frac{1}{6}\)
\(=5\frac{1}{6}\)
Chúc bn học tốt !!!
Bài làm :
Gọi số đó là : x
Ta có :
x + 4,75 x 2,5 - 0,2 : 1,25 = 13,84
x + 4,75 x 2,5 - 0,2 = 13,84 x 1,25
x + 4,75 x 2,5 - 0,2 = 17,3
x + 4,75 x 2,5 = 17,3 + 0,2
x + 4,75 x 2,5 = 17,5
x + 4,75 = 17,5 : 2,5
x + 4,75 = 7
x = 7 - 4,75
x = 2,25
Vậy số đó là : 2,25
a) \(1\dfrac{7}{20}:2,7+2,7:1,35+\left(0,4:2\dfrac{1}{2}\right).\left(4,2-1\dfrac{3}{40}\right)\)
\(=\dfrac{27}{20}:\dfrac{27}{10}+\dfrac{27}{10}:\dfrac{27}{10}+\left(\dfrac{2}{5}:\dfrac{5}{2}\right).\left(\dfrac{21}{5}-\dfrac{43}{40}\right)\)
\(=1+1+\dfrac{4}{25}.\dfrac{25}{8}\)
\(=2+\dfrac{1}{2}\)
\(=2\dfrac{1}{2}\)
b) \(\left(6\dfrac{3}{5}-3\dfrac{3}{14}\right).5\dfrac{5}{6}:\left(21-1.25\right):2,5\)
\(=\left(\dfrac{33}{5}-\dfrac{45}{14}\right).\dfrac{35}{6}:\left(-4\right):2,5\)
\(=\left(\dfrac{462}{60}-\dfrac{225}{60}\right).\dfrac{35}{6}.\dfrac{1}{-4}:\dfrac{5}{2}\)
\(=\dfrac{237}{60}.\dfrac{35}{6}.\dfrac{1}{-4}.\dfrac{2}{5}\)
\(=\dfrac{3.79.7.5.2}{5.14.3.2.\left(-4\right).5}\)
\(=\dfrac{79.7}{14.\left(-4\right).5}=\dfrac{553}{-280}\) (số xấu :v)
\(\left(4\frac{3}{4}+\frac{1}{8}+3\frac{1}{12}\right)-\left(0,37+1,28+2,25\right)\)
\(=7\frac{23}{24}-4,15\)
\(=7\frac{23}{24}-4\frac{3}{20}\)
\(=3\frac{97}{120}\)
(4,53 . 0,2 + 6,165.3) :2,5 = (0,906 +18,495) : 2,5 = 19,401 : 2,5 =7, 7604