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\(180-\left(x-45\right)\div2=120\)
\(\left(x-45\right)\div2=180-120\)
\(\left(x-45\right)\div2=60\)
\(x-45=60\times2\)
\(x-45=120\)
\(x=120+45\)
\(x=165\)
\(\left(2009-x\right)\div29+32=100\)
\(\left(2009-x\right)\div29=100-32\)
\(\left(2009-x\right)\div29=68\)
\(2009-x=68\times29\)
\(2009-x=1972\)
\(x=2009-1972\)
\(x=37\)
\(\left(x-2\right)\times3-270\div45=120\)
\(\left(x-2\right)\times3-6=120\)
\(\left(x-2\right)\times3=120+6\)
\(\left(x-2\right)\times3 =126\)
\(x-2=126\div3\)
\(x-2=42\)
\(x=42+2\)
\(x=44\)
\(\left(x+0,2\right)+\left(x+0,7\right)+\left(x+1,2\right)+...+\left(x+4,2\right)+\left(x+4,7\right)=65,5\)
\(\left(x+x+x+..+x+x\right)+\left(0,2+0,7+1,2+...+4,2+4,7\right)=65,5\)
\(10x+\frac{\left(0,2+4,7\right)\times10}{2}=65,5\)
\(10x+24,5=65,5\)
\(10x=65,5-24,5\)
\(10x=41\)
\(\Rightarrow x=4,1\)
a,(x+1)+(x+2)+(x+3)+....+(x+9)+(x+10)=240
Từ 1 đến 10 có số số hạng là:(10-1):1+1=10
Từ 1 đến 10 có tổng là:(10+1)x10:2=55
Ta có:(Xx10)+55=240
Xx10 =240-55
Xx10 =185
X =185:10
X =18,5
\(a)\) \(S=1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+...+\frac{1}{2187}\)
\(S=1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^7}\)
\(3S=3+1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^6}\)
\(3S-S=\left(3+1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^6}\right)-\left(1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^7}\right)\)
\(2S=3+\frac{1}{3^7}\)
\(2S=\frac{3^8+1}{3^7}\)
\(S=\frac{3^8+1}{3^7}.\frac{1}{2}\)
\(S=\frac{3^8+1}{2.3^7}\)
Vậy \(S=\frac{3^8+1}{2.3^7}\)
Chúc bạn học tốt ~
\(2\frac{4}{5}\)+3:\(\frac{3}{8}\)
=14/5+3*8/3
=14/5+8
=54/5
2>
x + 6/7=1/2*3
x+6/7=3/2
x=3/2-6/7
x=21/14-12/14
x=9/14
vậy x=9/14
a) 1/5 x 19 x 2/3 x 10 x 1/2 x 3 x 1/38
= ( 1/5 x 10 ) x ( 19 x 1/38 ) x ( 2/3 x 1/2 ) x 3
= ( 2 x 1/2 ) x ( 1/3 x 3 )
= 1 x 1
= 1
b) 5/8 x 4 x 8/5 x 7 x 0,25 x 1/8
= ( 5/8 x 8/5 ) x (4 x 0,25 ) x ( 7 x 1/8 )
= 1 x 1 x 7/8
= 7/8
a/ \(\frac{x}{2}+\frac{x}{3}+\frac{x}{4}=180\)
\(\Leftrightarrow x\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)=180\)
\(\Leftrightarrow\frac{13}{12}x=180\)
\(\Leftrightarrow x=\frac{2160}{13}\)
b/ \(\frac{1}{x.2}+\frac{2}{x.3}+\frac{3}{x.4}=120\)
\(\Leftrightarrow\frac{1}{x}\left(\frac{1}{2}+\frac{2}{3}+\frac{3}{4}\right)=120\)
\(\Leftrightarrow\frac{1}{x}.\frac{23}{12}=120\)
\(\Leftrightarrow\frac{1}{x}=\frac{1440}{23}\)
\(\Leftrightarrow x=\frac{23}{1440}\)
ý b của mik là 23/12