Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Làm theo cách này nhé :
a = 2 / 60 x 63 + 2 / 63 x 66 + 2 / 66x 69 + ...+ 2 / 117 x 120 + 2 / 2011
= 2/3 x ( 3/60 x 63 + 3 / 63 x 66 + 3 / 66 x 69 + ...+ 3/117 x 120 ) + 2/2011
= 2/3 x ( 1/60 - 1/63 + 1/63 - 1/66 + 1/66 - 1/69 + ... + 1/117 - 1/120 ) + 2/2011
= 2/3 x ( 1/60 - 1/120 ) + 2/2011
= 2/3 x 1/120 + 2/2011
= 1/180 + 2/2011
b = 5/ 40 x 44 + 5 / 44 x 48 + ...+ 5/76 x 80 + 5/ 2011
= 5/4 x ( 4/40 x 44 + 4/44 x 48 + ...+ 4/76 x 80 ) + 5/2011
= 5/4 x ( 1/40 - 1/44 + 1/44 - 1/48 + ...+ 1/76 - 1/80 ) + 5/2011
= 5/4 x ( 1/40 - 1/80 ) + 5/2011
= 5/4 x 1/80 + 5/2011
= 1/64 + 5/2011
Do 1/64 > 1/80 ; 5/2011 > 2/2011
=> 1/64 + 5/2011 > 1/80 + 2/2011
=> b > a
K nha
a) 20 = 22 . 5
48 = 24 . 3
ƯCLN(20,40) = 22 = 4
ƯC(20,40) = Ư(4) = 1,2,4
Mà theo đề bài 0 < x < 4 nên x = { 1 , 2 }
b) 30 = 2 . 5 . 3
24 = 23 . 3
ƯCLN(30,24) = 2 . 3 = 6
ƯC(30,24) = Ư(6) = 1,2,3,6
Mà theo y/c đề bài 2 < x < 6 nên x = 3
92 + 71 + 108 = (92 + 108) + 71 = 200 + 71 = 271
32 x 47 + 53 x 47 + 47 x 15 = 47(32 + 53 + 15)
= 47.100
= 4700
90 x 143 - 43 x 90 = 90.(143 - 43) = 90.100 = 9000
(1200 + 60) : 12 = 1800 : 12 = 150
2 x 18 x 24 + 3 x 50 x 16 + 12 x 32 x 4 = 18.(2.24) + 50.(3.16) + 32.(12.4) = 18.48 + 50.48 + 32.48 = 48(18 + 50 + 32) = 48.100 = 4800
\(2+4+6+....+2n=90\Leftrightarrow2\left(1+2+3+...+n\right)=90\Leftrightarrow1+2+3+...+n=45\Leftrightarrow\frac{n\left(n+1\right)}{2}=45\Leftrightarrow n\left(n+1\right)=90=9.10\Rightarrow n=9\)
\(a+b=8\Rightarrow a\in\left\{1;2;3;4;....;8\right\}\Rightarrow A=\left\{17;26;35;44;53;62;71;80\right\}\)
\(ab.101=ab.100+ab=ab00+ab=abab\)
Bài 1.
\( a)71 - \left( {33 + x} \right) = 26\\ \Leftrightarrow 71 - 33 - x = 26\\ \Leftrightarrow 38 - x = 26\\ \Leftrightarrow - x = 26 - 38\\ \Leftrightarrow - x = - 12\\ \Leftrightarrow x = 12\\ b)\left( {x + 73} \right) - 26 = 76\\ \Leftrightarrow x + 73 - 26 = 76\\ \Leftrightarrow x + 47 = 76\\ \Leftrightarrow x = 76 - 47\\ \Leftrightarrow x = 29\\ c)140:\left( {x - 8} \right) = 7\\ \Leftrightarrow x - 8 = 140:7\\ \Leftrightarrow x - 8 = 20\\ \Leftrightarrow x = 20 + 8\\ \Leftrightarrow x = 28\\ d)6x + 4x = 2010\\ \Leftrightarrow 10x = 2010\\ \Leftrightarrow x = \dfrac{{2010}}{{10}}\\ \Leftrightarrow x = 201 \)
Bài 3:
a) \(abc.1001=abcabc\)
\(abc+1000.abc=abcabc\)
\(abc+abc000=abcabc\)
\(abcabc=abcabc\left(đpcm\right)\)
b) \(1+2+3+...+2000\)
\(=\frac{\left(2000-1\right).2000}{2}\)
\(=1999000\)
Bài 1:
a) \(71-\left(33+x\right)=26\)
\(\Leftrightarrow33+x=45\)
\(\Leftrightarrow x=12\)
Vậy ...
b) \(\left(x+73\right)-26=76\)
\(\Leftrightarrow x+73=102\)
\(\Leftrightarrow x=29\)
Vậy ...
c) \(140:\left(x-8\right)=7\)
\(\Leftrightarrow x-8=20\)
\(\Leftrightarrow x=28\)
Vậy ...
d) \(6x+4x=2010\)
\(\Leftrightarrow10x=2010\)
\(\Leftrightarrow x=201\)
Vậy ...
a, x - 43 = ( 35 - x ) - 48
\(x-43=35-x-48\)
\(x+x=35-48+43\)
\(2x=30\)
\(x=15\)
b, 305 - x + 14 = 48 + ( x - 23 )
\(305-x+14=48+x-23\)
\(-x-x=48-23-14-305\)
\(-2x=-294\)
\(x=147\)
c, ( x - 6 + 85 ) = ( x + 51 ) - 54
\(x-6+85=x+51-54\)
\(x-x=51-54-85+6\)
\(0=-82\)
\(x\in\varnothing\)
d, -( 35 - x ) - ( 37 - x ) = 33 - x
\(-35+x-37+x=33-x\)
\(x+x+x=33+37+35\)
\(3x=105\)
\(x=35\)
e, - 12. ( x - 5 ) + 7 . ( 3 - x ) = 5
\(-12x+60+21-7x=5\)
\(-12x-7x=5-21-60\)
\(-19x=-76\)
\(x=4\)
f, 30. ( x+ 2 ) - 6 . ( x - 5 ) - 24 = 100
\(30x+60-6x+30-24=100\)
\(30x-6x=100+24-30-60\)
\(24x=34\)
\(x=\frac{17}{12}\)
chúc bạn học tốt
1.d
2.b
d c