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a) \(2,5:0,4x=0,5:0,2\)
\(\Rightarrow\frac{5}{2}:4x=\frac{1}{2}:\frac{1}{5}=\frac{5}{2}\)
\(\Rightarrow4x=\frac{5}{2}:\frac{5}{2}=1\)
\(\Rightarrow x=\frac{1}{4}\)
b) \(\frac{1}{5}x:3=\frac{2}{3}:0,25\)
\(\Rightarrow\frac{1}{5}x:3=\frac{8}{3}\)
\(\Rightarrow\frac{1}{5}x=\frac{8}{3}.3=8\Rightarrow x=40\)
a)2,5:4x=0,5:0,2
2,5:4x=2.5
4x=2,5:2,5
4x=1
x=1:4
x=0,25
1) a) Ta có: \(\frac{x}{-15}=\frac{-60}{x}\) \(\Rightarrow x^2=\left(-15\right).\left(-60\right)=900\)
\(\Rightarrow x=30\)
b) \(\frac{-2}{x}=\frac{-x}{\frac{8}{25}}\) \(\Rightarrow x.\left(-x\right)=\left(-2\right).\frac{8}{25}\)
\(\Rightarrow x.\left(-x\right)=\frac{-16}{25}\)
\(\Rightarrow x.\left(-x\right)=\left(\frac{-4}{5}\right).\frac{4}{5}\)
Vậy \(x=\frac{4}{5}\)
2) a) \(3,8: \left(2x\right)=\frac{1}{4}:2\frac{2}{3}\)
\(\Rightarrow3,8: \left(2x\right)=\frac{3}{32}\)
\(\Rightarrow2x=\frac{3}{32}:3,8=\frac{15}{608}\)
\(x=\frac{15}{608}:2=\frac{15}{1216}\)
Vậy \(x=\frac{15}{1216}\)
b) \(\left(0,25x\right):3=\frac{5}{6}:0,125\)
\(\Rightarrow\left(0,25x\right):3=\frac{20}{3}\)
\(\Rightarrow0,25x=\frac{20}{3}.3=20\)
\(\Rightarrow x=20:0,25=80\)
Vậy x = 80
c) \(0,01:2,5=\left(0,75x\right):0,75\)
\(\Rightarrow\frac{1}{250}=\left(0,75x\right):0,75\)
\(\Leftrightarrow0,75x=\frac{1}{250}.0,75=\frac{3}{1000}\)
\(\Rightarrow x=\frac{3}{1000}:0,75=\frac{1}{250}\)
Vậy \(x=\frac{1}{250}\)
d) \(1\frac{1}{3}:0,8=\frac{2}{3}:\left(0,1x\right)\)
\(\Rightarrow\frac{5}{3}=\frac{2}{3}:\left(0,1x\right)\)
\(\Rightarrow0,1x=\frac{5}{3}.\frac{2}{3}=\frac{10}{9}\)
\(\Rightarrow x=\frac{10}{9}:0,1=\frac{100}{9}\)
Vậy \(x=\frac{100}{9}\)
a) \(\frac{x}{-15}=\frac{-60}{x}\Leftrightarrow x.x=-15.\left(-60\right)\Leftrightarrow x^2=900\Leftrightarrow x^2=\orbr{\begin{cases}30^2\\\left(-30\right)^2\end{cases}}\Leftrightarrow x=\orbr{\begin{cases}30\\-30\end{cases}}\)
Bài 1 khó hiểu quá
Bài 2:
a)2,5:7,5=x:\(\frac{3}{5}\)
x:\(\frac{3}{5}\)=\(\frac{1}{3}\)
x=\(\frac{1}{3}.\frac{3}{5}\)
\(x=\frac{1}{5}\)
Vậy \(x=\frac{1}{5}\)
b)\(2\frac{2}{3}:x=1\frac{7}{9}:0,2\)
\(2\frac{2}{3}:x=\frac{80}{9}\)
\(x=2\frac{2}{3}:\frac{80}{9}\)
\(x=\frac{3}{10}\)
Vậy \(x=\frac{3}{10}\)
c)\(\frac{x}{5}=\frac{4}{10}\)
\(\Rightarrow x.10=4.5\)
\(\Rightarrow x.10=20\)
\(\Rightarrow x=2\)
Vậy x=2
d)\(\frac{18}{7}=\frac{x}{21}\)
\(\Rightarrow x.7=18.21\)
\(\Rightarrow x.7=378\)
\(\Rightarrow x=54\)
Vậy x=54
e)\(\frac{x}{6}=\frac{24}{x}\)
\(\Rightarrow x.x=24.6\)
\(\Rightarrow x^2=144=12^2=\left(-12\right)^2\)
Do đó:x=12;-12
Vậy x=-12;12
Bài 2,
a, 2,5 : 7,5 = x : \(\frac{3}{5}\)
\(\frac{1}{3}\) = x : \(\frac{3}{5}\)
x = \(\frac{1}{3}\) . \(\frac{3}{5}\)
x = \(\frac{1}{5}\)
b , \(2\frac{2}{3}\) : x = \(1\frac{7}{9}\) : 0,2
\(\frac{8}{3}\) : x = \(\frac{16}{9}\) : 0.2
\(\frac{8}{3}\) : x = \(\frac{80}{9}\)
x = \(\frac{8}{3}\) :\(\frac{80}{9}\)
x = 0,3
c, \(\frac{x}{5}\) = \(\frac{4}{10}\)
\(\Rightarrow\) 10x = 4.5 = 20
x = 20 : 10
x = 2
d,\(\frac{18}{7}\) = \(\frac{x}{21}\)
\(\Rightarrow\) 18.21 = 7x
378 = 7.x
x = 378 : 7
x = 54
e,\(\frac{x}{6}\) = \(\frac{24}{x}\)
\(\Rightarrow\) x2 = 6 . 24
x2 = 144
\(\Rightarrow\) x = \(\pm\) 12
