Tìm X:
(X + 1) + (X + 2) + (X + 3) = 30
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\(\left(x-1\right)+\left(x-2\right)+\left(x-3\right)=30\)
\(\left(x-1\right)+\left(x-2\right)+\left(x-3\right)=3.\left(x-2\right)\)
\(3.\left(x-2\right)=30\)
\(3.x-2.3=30\)
\(3.x-6=30\)
\(3.x\) \(=30+6\)
\(3.x\) \(=36\)
\(x\) \(=36:3\)
\(x\) \(=12\)
Vậy \(x=12\)
\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+30\right)=500\)
Số lượng số hạng là: \(30-1+1=30\)
\(\Rightarrow30x+\dfrac{30\left(30+1\right)}{2}=500\)
\(30x+465=500\)
\(30x=35\)
\(x=\dfrac{7}{6}\)
\(\left(x+1\right)+\left(x+2\right)+...+\left(x+30\right)=500\)
\(\Rightarrow x+1+x+2+..+x+30=500\)
\(\Rightarrow\left(x+x+...+x\right)+\left(1+2+...+30\right)=500\)
\(\Rightarrow30\cdot x+465=500\)
\(\Rightarrow30\cdot x=500-465\)
\(\Rightarrow30\cdot x=35\)
\(\Rightarrow x=\dfrac{35}{30}\)
\(\Rightarrow x=\dfrac{7}{6}\)
x+(x+1)+(x+2)+........+(x+30)=1246
<=> 31x+31.30:2=1246
<=> 31x+465=1246
<=> 31x=1246-465=781
<=> x=781/31
x + ( x + 1 ) + ( x + 2 ) + ... + ( x + 30 ) = 1246
x + x + 1 + x + 2 + ... + x + 30 = 1246
( x + x + ... + x ) + ( 1 + 2 + ... + 30 ) = 1246
Số số hạng là : ( 30 - 1 ) : 1 + 1 = 30 ( số )
Tổng là : ( 30 + 1 ) x 30 : 2 = 465
=> 31x + 465 = 1246
<=> 31x = 781
<=> x = 781/31
Vậy.......
\(x+(x+1)+(x+2)+(x+3)+....+(x+30)=1240\)
\(=x+\left(30x+1+2+3+...+30\right)=1240\)
\(=31x+1+2+3+...+30\)(có 30 số hạng) \(=1240\)
\(=31x+\left(30+1\right).30\div2=1240\)
\(=31x+465=1240\)
\(\Rightarrow31x=1240-465\)
\(\Rightarrow31x=775\)
\(\Rightarrow x=775\div31\)
\(\Rightarrow x=25\)
\(\text{x+(x+1)+(x+2)+(x+3)+.............+(x+30)=1240}\)
\(=x+x+1+x+2+x+3+...+x+30=1240\)
\(=31x+1+2+3+...+30=1240\)
\(=31x+465=1240\)
\(\Rightarrow31x=1240-465=775\)
\(\Rightarrow x=775:31=25\)
\(a,\left(x-\dfrac{1}{2}\right):\dfrac{1}{3}+\dfrac{5}{7}=9\dfrac{5}{7}\)
\(\Leftrightarrow\left(x-\dfrac{1}{2}\right).3=\dfrac{68}{7}-\dfrac{5}{7}\)
\(\Leftrightarrow\left(x-\dfrac{1}{2}\right).3=9\)
\(\Leftrightarrow x-\dfrac{1}{3}=3\)
\(\Leftrightarrow x=3+\dfrac{1}{3}\)
\(\Leftrightarrow x=\dfrac{9}{3}+\dfrac{1}{3}\)
\(\Leftrightarrow x=\dfrac{10}{3}\)
\(b,x+30\%x=-1,31\)
\(\Leftrightarrow x+\dfrac{3}{10}.x=-\dfrac{131}{100}\)
\(\Leftrightarrow x.\left(1+\dfrac{3}{10}\right)=-\dfrac{131}{100}\)
\(\Leftrightarrow x.\dfrac{13}{10}=-\dfrac{131}{100}\)
\(\Leftrightarrow x=-\dfrac{131}{100}.\dfrac{10}{13}\)
\(\Leftrightarrow x=-\dfrac{131}{130}\)
\(c,-\dfrac{2}{3}x+\dfrac{1}{5}=\dfrac{1}{10}\)
\(\Leftrightarrow\dfrac{-2}{3}x=\dfrac{1}{10}-\dfrac{1}{5}\)
\(\Leftrightarrow\dfrac{-2}{3}x=\dfrac{1}{10}-\dfrac{2}{10}\)
\(\Leftrightarrow-\dfrac{2}{3}x=-\dfrac{1}{10}\)
\(\Leftrightarrow x=-\dfrac{1}{10}.\left(-\dfrac{3}{2}\right)\)
\(\Leftrightarrow x=\dfrac{3}{20}\)
\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)=30\)
\(\left(x+x+x\right)+\left(1+2+3\right)=30\)
\(3x+6=30\)
\(3x=24\)
\(x=8\)
(X + 1) + (X + 2) + (X + 3) = 30
(X + X+ X) + (1 + 2 + 3) = 30
(X x 3) + 6 = 30
X x 3 = 30 - 6
X x 3 = 24
X = 24 : 3
X = 8