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\(\frac{1}{2}\cdot\left(2-x\right)+0,25=x-\frac{5}{2}:0,4+3\)
\(=>\frac{1}{2}\cdot2-\frac{1}{2}x+\frac{1}{4}=x-\frac{5}{2}:\frac{2}{5}+3\)
\(=>1+\frac{1}{4}+\frac{5}{2}\cdot\frac{5}{2}-3=x-\frac{1}{2}x\)
\(=>\frac{4}{4}+\frac{1}{4}+\frac{25}{4}-\frac{12}{4}=\frac{x}{2}\)
\(=>\frac{18}{4}=\frac{x}{2}\)
\(=>\frac{x}{2}=\frac{9}{2}\)
\(=>x=9\)
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\(\frac{1}{2}\left(2-x\right)+0,25=x-\frac{5}{2}:0,4+3\)
<=> 1-0,5x+0,25=x-6,25+3
<=> 1,5x=1+0,25+6,25-3=4,5
<=> x=4,5:1,5=3
vậy x=3
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x\cdot2,3+\dfrac{x}{10}=7,56\)
\(23x+x=75,6\)
\(x=3,15\)
a: =>2,4*x=7,56
=>x=2,4
b: =>x*4+x*11=1,8
=>15x=1,8
=>x=0,12
c: =>x*2,5-x*2=1,2
=>0,5*x=1,2
=>x=2,4
d: =>x*3,05-x*0,01=7,6
=>x*3,04=7,6
=>x=2,5
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\(\frac{0,4\cdot13,68\cdot0,9 +0,6\cdot48,24\cdot0,6+0,2\cdot38,08\cdot1,8}{5:0,125+8:0,25}\)
Tử số : 0,4 x 13,68 x 0,9 +0,6 x 48,24 x 0,6 + 0,2 x 38,08 x 1,8
= 0,36 x 13,68 + 0,36 x 48,24 + 0,36 x 38,08
= 0,36 x ( 13,68 + 48,24 + 38,08 )
= 0,36 x 100
= 36
Mẫu số : 5 : 0,125 + 8 : 0,25
= 5 x 8 + 8 x 4
= 8 x ( 5 + 4 )
= 8 x 9
= 27
Vậy : \(\frac{0,4\cdot13,38\cdot0,9+0,6\cdot48,24\cdot0,6+0,2\cdot38,08\cdot1,8}{5:0,125+8:0,25}=\frac{36}{27}=\frac{4}{3}\)
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a) y*(3,6+6,4)=18,9
y*10=18,9
y=1,89
b)(9,4+ 5,3):y=14
14,7:y=14
y=1,05
![](https://rs.olm.vn/images/avt/0.png?1311)
X : 0,25 + X : 0,2 + X : 0,5 = 132
\(X\times4+X\times5+X\times2=132\)
\(X\times\left(4+5+2\right)=132\)
\(X\times11=132\)
\(X=132\div11=12\)
![](https://rs.olm.vn/images/avt/0.png?1311)
x:0,25+x:0,01+x:0,5+x=214
\(\Rightarrow x\times4+x\times100+x\times2+x=214\)
\(\Rightarrow x\times\left(4+100+2+1\right)=214\)
\(\Rightarrow x\times107=214\)
\(\Rightarrow x=214:107\)
\(\Rightarrow x=2\)
x:0.25+x:0.01+x:0.5+x=214
x:(0.25+0.01+0.5+1)=214
x:1.76=214
x=214*1.76
x=376.64
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Bài làm:
a) \(A=\left|x-0,25\right|\ge0\left(\forall x\right)\)
Dấu "=" xảy ra khi: \(\left|x-0,25\right|=0\Rightarrow x=0,25\)
Vậy GTNN A là 0 khi x = 0,25
b) \(B=\left|x+0,25\right|+1,75\ge1,75\left(\forall x\right)\)
Dấu "=" xảy ra khi: \(\left|x+0,25\right|=0\Rightarrow x=-0,25\)
Vậy GTNN B là 1,75 khi x = -0,25
![](https://rs.olm.vn/images/avt/0.png?1311)
x - 0,25 = 43/4 + 18/5
\(x-\frac{1}{4}=\frac{287}{20}\)
\(x=\frac{287}{20}+\frac{1}{4}\)
\(x=\frac{73}{5}\)
\(x-0,25=\frac{43}{4}+\frac{18}{5}\)
\(\Rightarrow x-\frac{1}{4}=\frac{43}{4}+\frac{18}{5}\)
\(\Rightarrow x-\frac{1}{4}=\frac{287}{20}\)
\(\Rightarrow x=\frac{287}{20}+\frac{1}{4}\)
\(\Rightarrow x=\frac{73}{5}\)
\(\Rightarrow x=14,6\)
0,25y-3,8+y=0,25
1,25y=4,05
y=3,24
\(y.0,25-0,4.9,5+y=0,25.\)
\(\Leftrightarrow0,25y-3,8+y=0,25.\)
\(\Leftrightarrow1,25y=4,05.\)
\(\Leftrightarrow y=3,24.\)
Vậy phương trình có nghiệm \(y\in\left\{3,24\right\}.\)