2,5 x ( 4,1 - 3,6 - 2,5 + 9,10) + 2,4 : 2
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a: \(2,5:4x=0,5:0,2\)
=>\(2,5:4x=0,5\cdot5=2,5\)
=>4x=1
=>\(x=\dfrac{1}{4}\)
b: \(3,8:2x=\dfrac{1}{4}:2\dfrac{2}{3}\)
=>\(3,8:2x=\dfrac{1}{4}:\dfrac{8}{3}=\dfrac{1}{4}\cdot\dfrac{3}{8}=\dfrac{3}{32}\)
=>\(2x=3,8:\dfrac{3}{32}=\dfrac{19}{5}\cdot\dfrac{32}{3}=\dfrac{608}{15}\)
=>\(x=\dfrac{608}{15}:2=\dfrac{304}{15}\)
c: \(5,25:7x=3,6:2,4\)
=>\(5,25:7x=1,5\)
=>\(7x=5,25:1,5=3,5\)
=>\(x=\dfrac{3.5}{7}=0,5\)
d: \(1,8:1,3=-2,7:5x\)
=>\(5x=-2,7:\dfrac{18}{13}=-2,7\cdot\dfrac{13}{18}=-1,95\)
=>\(x=-1,95:5=-0,39\)
a: \(\Leftrightarrow\left(x-\dfrac{2}{5}\right):\dfrac{3}{2}=-\dfrac{5}{4}+\dfrac{5}{2}=\dfrac{5}{4}\)
\(\Leftrightarrow x-\dfrac{2}{5}=\dfrac{5}{4}\cdot\dfrac{3}{2}=\dfrac{15}{8}\)
hay x=91/40
b: \(\Leftrightarrow\left(2.5x-3.6\right)=-1\cdot\dfrac{12}{7}=\dfrac{-12}{7}\)
=>2,5x=66/35
hay x=132/175
c: \(\Leftrightarrow\left(\dfrac{15}{4}-2x\right)=\dfrac{19}{9}:\dfrac{4}{3}=\dfrac{19}{9}\cdot\dfrac{3}{4}=\dfrac{19}{12}\)
=>2x=15/4-19/12=45/12-19/12=26/12
=>x=13/12
a) 387*0,25 -(x: 4+x: 0,125): 0,5 = 14,25
96,75 - (x: 4 + 32x: 4): 0,5 = 14,25
(x: 4 + 32x: 4): 0,5 96,75 - 14,25
(x: 4 + 32x: 4): 0,5 = 82,5
(33x: 4): 0,5 = 82,5
33x4 = 82,5 * 0,5
33x: 441,25
33x = 41,25 * 4
b) (2,5*1,2 + x - 2,5): 2,5 = 4
2,5*1,2x-2,5 = 4*2,5
2,5*1,2+x-2,5 = 10
3+x-2,5 = 10
3 + x = 10 + 2,5
3+ x = 12,5
x = 12,5 - 3
x = 9,5
c \()\)1,2x(3,75-0,75:x-0,5)=3,6
3,75-0,75:x-0,5=3,6:1,2
3,75-0,75:x-0,5=3
0,75:x-0,5-3,75-3
0,75:x-0,5=0,75
0,75:x=0,75+0,5
0,75:x=1,25
X=0,75:1,25
x=0,6
\(x:3,6+1,2=10,5:2,5\)
\(x:3,6+1,2=4,2\)
\(x:3,6=4,2-1,2\)
\(x:3,6=3\)
\(x=3\times3,6\)
\(x=10,8\)
1,
\(\begin{array}{l}2,5.\left( {4,1 - 3 - 2,5 + 2.7,2} \right) + 4,2:2\\ = 2,5.\left( {4,1 - 3 - 2,5 + 14,4} \right) + 4,2:2\\ = 2,5.\left( {1,1 - 2,5 + 14,4} \right) + 2,1\\ = 2,5.\left( { - 1,4 + 14,4} \right) + 2,1\\ = 2,5.13 + 2,1\\ = 32,5 + 2,1\\ = 34,6\end{array}\)
2,
Cách 1:
\(\begin{array}{l}2,86.4 + 3,14.4 - 6,01.5 + {3^2}\\ = 11,44 + 12,56 - 30,05 + 9\\ = \left( {11,44 + 12,56} \right) + \left( { - 30,05 + 9} \right)\\ = 24 + \left( { - 21,05} \right)\\ = 24 - 21,05\\ = 2,95\end{array}\)
Cách 2:
\(\begin{array}{l}2,86.4 + 3,14.4 - 6,01.5 + {3^2}\\ = 4.(2,86+3,14) - 30,05 + 9\\ = 4.6 + \left( { - 30,05 + 9} \right)\\ = 24 + \left( { - 21,05} \right)\\ = 24 - 21,05\\ = 2,95\end{array}\)
\(3,625x-2,5=3,6\)
\(3,625x=3,6+2,5\)
\(3,625x=6,1\)
\(\Rightarrow x=\frac{6,1}{3,625}=\frac{244}{145}\)
\(a,28,7\times2,4+2,4\times34,5\\ =\left(28,7+34,5\right)\times2,4\\ =151,68\\ b,9,65\times0,4\times2,5\\ =9,65\times1\\ =9,65\)
`2,5 xx 201,4 - 201,4 xx 2,4`
`= 201,4 xx (2,5 -2,4)`
`= 201,4 xx0,1`
`=20,14`
2,5 x 201,4 - 201,4 x 2,4
= 201,4 x ( 2,5 - 2,4 )
= 201,4 x 0,1
= 20,14
\(2,5\left(4,1-3,6-2,5+9,1\right)+2,4:2\)
\(=2,5\cdot\left(0,5-2,5+9,1\right)+1,2\)
\(=2,5\cdot7,1+1,2=18,95\)