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a) \(\left(19x+2\cdot5^2\right):14=\left(13-8\right)^2-4^2\)
\(\Leftrightarrow\left(19x+2\cdot25\right):14=5^2-4^2\)
\(\Leftrightarrow19x+50=\left(25-16\right)\cdot14\)
\(\Leftrightarrow19x+50=9\cdot14\)
\(\Leftrightarrow19x+50=126-50\)
\(\Leftrightarrow19x=76\)
\(\Leftrightarrow x=76:19\)
\(\Leftrightarrow x=4\)
b) \(x+\left(x+1\right)+\left(x+2\right)+...+\left(x+30\right)=1240\)
\(\Leftrightarrow\left(x+x+x+x...+x\right)+\left(1+2+3+...+30\right)=1240\)
\(\Leftrightarrow31x+\frac{\left[\left(30-1\right):1+1\right]\cdot\left(30+1\right)}{2}=1240\)
\(\Leftrightarrow31x+465=1240\)
\(\Leftrightarrow31x=775\)
\(\Leftrightarrow x=25\)
c)\(11-\left(-53+x\right)=97\)
\(\Leftrightarrow-53+x=-86\)
\(\Leftrightarrow x=-33\)
d) \(-\left(x+84\right)+213=-16\)
\(\Leftrightarrow-\left(x+84\right)=-229\)
\(\Leftrightarrow x+84=229\)
\(\Leftrightarrow x=145\)
Trả lời :
a, - (x + 84) + 213 = - 16
=> - x - 84 + 213 = -16
=> - x + 129 = - 16
=> - x = - 145
=> x = 145
b, (x - 345) - 476 = (975 - 761) - (315 + x)
=> x - 345 - 476 = 214 - 315 - x
=> x - 821 = - 101 - x
=> x + x = - 101 + 821
=> 2x = 720
=> x = 360
c, x - (35 - x) = 15 - x
=> x - 35 + x = 15 - x
=x + x + x = 15 + 35
=> 3x = 50
=> x = \(\frac{50}{3}\)
a, \(-\left(x+84\right)+213=-16\Leftrightarrow-x-84=-229\Leftrightarrow x=145\)
b, \(\left(x-345\right)-476=\left(975-761\right)-\left(315+x\right)\)
\(\Leftrightarrow x-345-476=214-315-x\Leftrightarrow2x=720\Leftrightarrow x=360\)
c, \(x-\left(35-x\right)=15-x\Leftrightarrow x-35+x=15-x\Leftrightarrow x=50\)
Thực hiện phép tính
a 210 + [46 + (-210) + (-26)]
= 210 + [46 -210-26]
=210- 190
=20
b (-8) - [(-5) + 8]
=-8-(-5+8)
=-8-3
=-11
c 25.134 + 25.(-34)
=25(134-34)
=25.100
=2500
Thực hiện phép tính :
\(a,210+\left[46+\left(-210\right)+\left(-26\right)\right]\)
\(=210+46-210-26\)
\(=\left(210-210\right)+\left(46-26\right)\)
\(=0+20=20\)
Vậy \(210+\left[46+\left(-210\right)+\left(-26\right)\right]=20\)
\(b,\left(-8\right)-\left[\left(-5\right)+8\right]\)
\(=-8+5-8\)
\(=-11\)
Vậy : \(\left(-8\right)-\left[\left(-5\right)+8\right]=-11\)
\(c,25.134+25.\left(-34\right)\)
\(=25.\left(134-34\right)\)
\(=25.100=2500\)
Vậy : \(25.134+25.\left(-34\right)=2500\)
12/16
=3/4=21/28=63/84
=> x=3;y=28;z=63
Vậy: x=3;y=28;y=63
a) \(\left(19x+2\cdot5^2\right):14=\left(13-8\right)^2-4^2\)
\(\left(19x+2\cdot5^2\right):14=9\)
\(19x+2\cdot5^2=9\cdot14=126\)
\(19x+50=126\)
\(19x=126-50=76\)
\(x=\frac{76}{19}=4\)
b) \(x+\left(x+1\right)+\left(x+2\right)+...+\left(x+30\right)=1240\)
\(\left(x+x+..+x\right)+\left(1+2+3+...+30=1240\right)\)(31 chữ số x)
\(31x+\frac{30\cdot31}{2}=1240\Leftrightarrow31x+465=1240\)
\(31x=1240-465=775\)
\(x=\frac{775}{31}=25\)
c) \(11-\left(-53+x\right)=97\)
\(11+53-x=97\Leftrightarrow64-x=97\)
\(x=64-97=-33\)
d) \(-\left(x+81\right)+213=-16\)
\(-x-81+213=-16\)
\(-x+132=-16\)
\(-x=-16-132=-148\)
\(x=148\)
..........
X là BC(21;28;42)=B(84) vì BCNN(21;28;42) =84
X =84k với k thuộc N*
vì 213<X< 490 => 213<84k<490 => 2,53.. < k < 5,8..
=> k =3;4;5 => X =84k =252;366;420
=> M ={252;366;420}
\(a,67\times153-53\times67+712:8\)
\(=67\times\left(153-53\right)+\left(712:8\right)\)
\(=67\times100+89\)
\(=6700+89\)
\(=6789\)
\(b,168-\left\{5\times\left[143-\left(15-12\right)^2\right]+10\right\}:10\)
\(=168-\left\{5\times\left[143-3^2\right]+10\right\}:10\)
\(=168-\left\{5\times134+10\right\}:10\)
\(=168-\left\{670+10\right\}:10\)
\(=168-680:10\)
\(=168-68\)
\(=100\)
\(c,\left(-13\right)+84+\left(-87\right)+16\)
\(=13+84-87+16\)
\(=\left(13+87\right)-\left(84+16\right)\)
\(=100-100\)
\(=0\)
\(d,9-\left(12-15\right)\)
\(=9-\left(-3\right)\)
\(=12\)
3/7=-27/x 4/7=x/84
=>3.-9/7.9=-27/-9x =>4.12/7.12=x/84
=>27/-63=27/9x =>48/84=x/84
=>-63=9x =>x=48
=>x=-7
\(-\left(x+84\right)+219=-16\)
\(\Leftrightarrow-\left(x+84\right)=-235\)
\(\Leftrightarrow-x=-319\)
\(\Leftrightarrow x=319\)
Vậy x = 319
- ( x + 84 ) + 213 = -16
-x - 84 + 23 = -16
-x = -16 + 84 -23
-x = 45
x = -45
hok tốt!!!