A= 75 x a + 125 x b + 25 x a - 25 x b với a + b = 20 ,21
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\(a.13.\left(78+22\right)=13.100=1300\)
\(b.25.70+28.25+25.2=25.\left(70+28+2\right)=25.100=2500\)
\(c.\dfrac{15.3.14.2.19}{19.14.15}=6\)
\(d.\dfrac{132.70.60}{12.35.20}=\dfrac{11.12.35.2.20.3}{12.35.20}=66\)
Bài 1 d)
\(1-2+3-4+5-6+...+2013\)
\(=1+\left(-2+3\right)+\left(-4+5\right)+...+\left(-2012+2013\right)\)
\(=1+1+1+...+1\left(1006s\right)\)
\(=1006.1=1006\)
a)\(\frac{20}{x}=\frac{x}{45}\)(Điều kiện x\(\ne0\))
<=>\(x^2=20.45\)
<=>\(x^2=900\)
<=>\(x=\pm30\)(Thỏa mãn)
Vậy.....
b)\(\frac{-25}{x}=\frac{-55}{77}\)(Điều kiện \(x\ne0\))
<=>(-55).x=(-25).77
<=>(-55).x=-1925
<=>x=(-1925):(-55)
<=>x=35
Vậy....
a.35 x 34 + 35 x 38 + 65 x 75 + 45 x 65
= 35 x (34 + 38) + 65 x 75 + 65 x 45
= 35 x 72 + 65 x (75+45)
= 35 x 72 + 65 x 120
= 35 x 72 + 65 x (72 + 48)
= 35 x 72 + 65 x 72 + 65 x 48
= (35+65) x 72 + 65 x 48
= 100 x 72 + 65 x 48
= 7200 + 3120
= 10320
b.39 x 8 + 60 x 2 + 21 x 8
=39 x 8 + 15 x 4 x 2 +21 x 8
= 39 x 8 + 15 x 8 + 21 x 8
=(39 + 15 + 21) x 8
= 75 x 8
= 600
c.58 x 75 + 58 x 50 - 58 + 25
= 58 x 75 + 58 x 50 - 58 x 1 + 25
= 58 x(75+50-1)+25
= 58 x 124 + 25
= 7192 + 25
= 7217
d.125 x 98 - 125 x 46 - 52 x 25
= 25 x 5 x 98 - 25 x 5 x 46 - 25 x 52
= 25 x 490 - 25 x 230 - 25 x 52
= 25 x (490 - 230 - 52)
= 25 x 208
= 5200
a, ( 75 x 56 ) : 15 1175 : 25 + 1325: 25 + 466 x 25
= (75: 15) x 56 = ( 1175 + 1325) : 25 + 466 x 25
= 3 x 56 = 2500 : 25 + 466 x25
= 168 = 100 + 466 x 25
b, ( 80 x125 x10) : 25 = 25 x 4 + 466 x 25
= ( 80 x 10) x ( 125:25) = 25 x ( 4 + 466)
= 800 x 5 = 25 x 470
= 4 000 = 11750
d, ( 750 x 360 x 55) : ( 15 x 12 x 110)
= ( 75 x 360 x 550 ) : ( 15 x 12 x 110)
= (75 : 15 ) x ( 360 : 12) x ( 550 : 110)
= 5 x 30 x 5
= 25 x 30
= 750
a) (75 x 56) : 15
= 4200 : 15
= 280
b) (80 x 125 x 10) : 25
= 100 000 : 25
= 4000
c) 1175 : 25 + 1325 : 25 + 466 x 25
= (1175 : 25) + (1325 : 25) + (466 x 25)
= 47 + 53 + 11 650
= 11 750
d) (750 x 360 x 55) : (15 x 12 x 110)
= 14 850 000 : 19 800
= 750
Tìm x thuộc Z ;
a . 14+[-12]+x=10
b . 9-25=[7-x]-[25+7]
c.2-x=15-[-5]
giúp mik với đang cần gấp.....
a: =>14+12+x=10
=>x+26=10
hay x=-16
b: =>|7-x|-32=-16
=>|x-7|=16
=>x-7=16 hoặc x-7=-16
=>x=23 hoặc x=-9
c: =>2-x=15-5=10
=>x=-8
a)\(-17+\left|5-x\right|=10\)
\(\Leftrightarrow\left|5-x\right|=10-\left(-17\right)\)
\(\Leftrightarrow\left|5-x\right|=10+17\)
\(\Leftrightarrow\left|5-x\right|=27\)
\(\Leftrightarrow\orbr{\begin{cases}5-x=27\\5-x=-27\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-22\\x=32\end{cases}}\)
b) \(45-5\left|12-x\right|=125\div\left(-25\right)\)
\(\Leftrightarrow45-5\left|12-x\right|=-5\)
\(\Leftrightarrow5\left|12-x\right|=45-\left(-5\right)\)
\(\Leftrightarrow5\left|12-x\right|=45+5\)
\(\Leftrightarrow5\left|12-x\right|=50\)
\(\Leftrightarrow\left|12-x\right|=10\)
\(\Leftrightarrow\orbr{\begin{cases}12-x=10\\12-x=-10\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2\\x=22\end{cases}}\)
c) \(2< \left|3-x\right|\le5\)
\(\Leftrightarrow\left|3-x\right|\in\left\{3;4;5\right\}\)
* \(\left|3-x\right|=3\Leftrightarrow\orbr{\begin{cases}3-x=3\\3-x=-3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=6\end{cases}}}\)
* \(\left|3-x\right|=4\Leftrightarrow\orbr{\begin{cases}3-x=4\\3-x=-4\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=7\end{cases}}}\)
* \(\left|3-x\right|=5\Leftrightarrow\orbr{\begin{cases}3-x=5\\3-x=-5\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=8\end{cases}}}\)
d) \(\left|x+4\right|< 3\)
mà \(\left|x+4\right|\ge0\)
\(\Rightarrow\left|x+4\right|\in\left\{0;1;2\right\}\)
* \(\left|x+4\right|=0\Leftrightarrow x+4=0\Leftrightarrow x=-4\)
* \(\left|x+4\right|=1\Leftrightarrow\orbr{\begin{cases}x+4=1\\x+4=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-3\\x=-5\end{cases}}}\)
* \(\left|x+4\right|=2\Leftrightarrow\orbr{\begin{cases}x+4=2\\x+4=-2\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=-6\end{cases}}}\)