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\(5x\left(4+2\right)+3x=240\) \(\left(8x+x+63\right):11=9\)
\(20x+10x+3x=240\) \(8x+x+63=99\)
\(33x=240\) \(9x=36\)
\(x=\frac{240}{33}\) \(x=4\)
5.(4x + 2) + 3x = 240
20x + 10 + 3x = 240
23x + 10 = 240
23x = 240 - 10
23x = 230
x = 230 : 23 = 10
31.57.x - 57.14.x = 85.57
(1767 - 798 ).x = 4845
969 . x = 4845
x = 4845 : 969
x = 5
x+x+x+...x+ 1+2+3+...100 = 5750
100.x + 101.50 = 5750
100.x = 5757-5050
100.x = 700
x = 700: 100
x = 7
a: Ta có: \(100-7\left(x-5\right)=58\)
\(\Leftrightarrow7\left(x-5\right)=42\)
\(\Leftrightarrow x-5=6\)
hay x=11
b: Ta có: \(12\left(x-1\right):3=4^3+2^3\)
\(\Leftrightarrow12\left(x-1\right)=216\)
\(\Leftrightarrow x-1=18\)
hay x=19
(x+1)+(x+2)+(x+3)+...+(x+100)=5750
x + 1 + x + 2 + x + 3 + .... + x + 100 = 5750
(x + x + x + ... + x) + (1 + 2 + 3 + ... + 100) = 5750
100x + 5050 = 5750
100x = 5750 - 5050 = 700
x = 700 : 100 = 7
(x+1)+(x+2)+(x+3)+...+(x+100)=5750
x + 1 + x + 2 + x + 3 + .... + x + 100 = 5750
(x + x + x + ... + x) + (1 + 2 + 3 + ... + 100) = 5750
100x + 5050 = 5750
100x = 5750 - 5050 = 700
x = 700 : 100 = 7
Ta có: (x + 1) + (x + 2) +...+ (x + 100) = 5750
=> (x + x + x +...... +x) + (1 + 2 + 3 + 4 + ... + 100) = 5750
=> 100x + 5050 = 5750
=> 100x = 5750 - 5050
=> 100x = 700
=> x = 700 : 100
=> x = 7
Ta có: ( x+1) + (x+2) + (x+3) +...+ ( x+100) = 5750
<=> ( x + x + x + ...... + x ) + (1 + 2 + 3 + ..... + 100) = 5750
<=> 100x + 5050 = 5750
=> 100x = 5750 - 5050
=> 100x = 700
=> x = 700 : 100
=> x = 7
[ x + 1 ] + [ x + 2 ] + [ x + 3 ] + ... + [ x + 100 ] = 5750
[ x + x + x + .... + x ] + [ 1 + 2 + 3 + ... + 100 ] = 5750
Đặt A = 1 + 2 + 3 + ... + 100 và B = x + x + x + .... + x
Dãy A có số số hạng là :
( 100 - 1 ) : 1 + 1 = 100 ( số hạng )
=> A = ( 1 + 100 ) x 100 : 2 = 5050
=> B = 100x
Ta có :
[ x + x + x + .... + x ] + [ 1 + 2 + 3 + ... + 100 ] = 5750
100 x + 5050 = 5750
100 x = 700
x = 7
(x+1)+(x+2)+...+(x+100) = 5750
(x+x+x+.....+x) + ( 1+2+..+100) = 5750
100x + 5050 = 5750
100x = 5750 - 5050
100x = 700
x = 700 : 100
x = 7
100 . x + ( 1 + 2 + 3 + ....+ 100 )
100 . x + 100 . 101 : 2
=> 100x + 101 + 50 = 5750
100x = 5750 - 5050 = 700
=> x = 700 : 100=7
=> x = 7
\(X+1+X+2+X+3+...+X+100=5750.\)
\(\left(X+1\right)+\left(X+2\right)+\left(X+3\right)+...+\left(X+100\right)=5750.\)
\(\Leftrightarrow\left(X+X+X+...+X\right)+\left(1+2+3+...+100\right)=5750.\)
\(100X+5050=5750\)
\(100X=5750-5050=700\)
\(X=700:100=7\)
(x+1)+(x+2)+(x+3)+........+(x+100)=5750
(x+x+...+x)+(1+2+3+...+100)=5750
(x.100)+(1+100).100:2=5750
(x.100)+5050=5750
x.100=5750-5050
x.100=700
x =700:100
x = 7
Vậy x=7
a)5^x=125
5^x=5^3
=> x=3
b) (x+1)+(x+2)+(x+3)+...+(x+100)=5750
(x+x+x+...+x)+(1+2+3+...+100)=5750
100x+5050=5750
100x=5750-5050
100x=700
x=700:100
x=7