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Câu 1:
a. $=-(35+65)+(22+88)=-100+110=110-100=10$
c. $=58(26+74)=58.100=5800$
b. $=29(38+63-1)=29.100=2900$
x + 20 + 21 + x + 22 + 23 + x + 24 + 25 + x + 26 + 27 + x + 28 + 29 + x + 30 = 330
6x + (30 + 20) . (30 - 20 + 1) : 2 = 330
6x + 50 . 11 : 2 = 330
6x + 275 = 330
6x = 330 - 275
6x = 55
x = 55 : 6
x = 55/6
\(x+20+21+x+22+23+x+24+25+x+26+27+x+28+29+x+30=330\)
\(\Rightarrow\left(x+x+x+x+x+x\right)+\left(20+21+22+23+24+25+26+27+28+29+30\right)=330\)
\(\Rightarrow6x+\left[\left(30-20\right):1+1\right]\left(20+30\right):2=330\)
\(\Rightarrow6x+11.50:2=330\)
\(\Rightarrow6x+275=330\)
\(\Rightarrow6x=55\)
\(\Rightarrow x=\dfrac{55}{6}\)
x + 20 + 21 + x + 22 + 23 + x + 24 + 25 + x + 26 + 27 + x + 28 + 29 + x + 30 = 330
6x + (30 + 20) . (30 - 20 + 1) : 2 = 330
6x + 50 . 11 : 2 = 330
6x + 275 = 330
6x = 330 - 275
6x = 55
x = 55 : 6
x = 55/6
a) \(2\left(3x-4\right)=18\Leftrightarrow3x-4=9\)
\(\Leftrightarrow3x=13\Rightarrow x=\frac{13}{3}\)
b) \(\left(105-x\right)\div25=30+1\)
\(\Leftrightarrow105-x=775\)
\(\Leftrightarrow x=-670\)
c) \(2x-138=22.32\)
\(\Leftrightarrow x-69=11.32\)
\(\Leftrightarrow x-69=352\)
\(\Rightarrow x=421\)
d) \(\left(6x-9\right).28=5628\)
\(\Leftrightarrow\left(2x-3\right).84=5628\)
\(\Leftrightarrow2x-3=67\)
\(\Leftrightarrow2x=70\)
\(\Rightarrow x=35\)
e) \(\left(9x+2\right).3=60\)
\(\Leftrightarrow9x+2=20\)
\(\Leftrightarrow9x=18\)
\(\Rightarrow x=2\)
g) \(\left(26-3x\right)\div5+71=75\)\(\Leftrightarrow26-3x=20\)
\(\Leftrightarrow3x=6\)
\(\Rightarrow x=2\)
h) \(5x+1=125\)
\(\Leftrightarrow5x=124\)
\(\Rightarrow x=\frac{124}{5}\)
i) \(\left(x-5\right)\left(2x+8\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=0\\2x+8=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=5\\2x=-8\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=5\\x=-4\end{cases}}\)
Bài 2:
\(a,45+170+25+30\)
\(=\left(45+25\right)+\left(170+30\right)\)
\(=60+200=260\)
Bài 3:
\(a,\left(x-6\right).5=150\)
\(x-6=150:5\)
\(x-6=30\)
\(x=30+6\)
\(x=36\)
\(b,2^5.\left(3x-2\right)=2^3.2^6\)
\(2^5.\left(3x-2\right)=2^{3+6}\)
\(2^5.\left(3x-2\right)=2^9\)
\(3x-2=2^9:2^5\)
\(3x-2=2^4=16\)
\(3x=16+2\)
\(3x=22\)
\(x=22:3\)
\(x\approx7,3\)
\(c,100-7.\left(x-5\right)=51\)
\(7.\left(x-5\right)=100-51\)
\(7.\left(x-5\right)=49\)
\(x-5=49:7\)
\(x-5=7\)
\(x=7+5\)
\(x=12\)
Phần d) bạn thiếu dữ liệu ạ.
\(A=2\left(1+2\right)+...+2^7\left(1+2\right)=3\left(2+...+2^7\right)⋮3\)
Số số hạng của tổng A là : \(\dfrac{30-21}{1}+1=10\left(sh\right)\)
`=>A=\underbrace{1/21+1/22+...+1/30}_{10sh}>\underbrace{1/30+1/30+1/30+...+1/30}_{10sh}`
`=>A>(1)/(30).10`
`=>A>10/30`
`=>A>1/3`
`=>đpcm`
`3^x +25 = 26.2^2 +2.3^0`
`3^x +25 = 52*2 + 2*1`
`3^x +25 = 2(52+1)`
`3^x +25= 2*53 = 106`
`3^x = 106-25 = 81`
`3^x=3^4`
`=>x=4`
3x+25=26.22+2.30
=>3x+25=26.4+2
=>3x+25=106
=>3x=106-25
=>3x=81<=>81=3.3.3.3=34
=>x=4
Vậy x=4