Giúp mình bài này với
6x-302=2^3.5
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a/\(240\times20-\left(846+202\times2,5\right)\)
\(=4800-\left(846+505\right)\)
\(=4800-1351\)
\(=3449\)
b/\(2000+\left(32,4:3-2,8\right)\)
\(=2000+\left(10,8-2,8\right)\)
\(=2000+8\)
\(=2008\)
c/\(320\times1,25-\left(933+302\times3,5\right)\)
\(=400-\left(933+1057\right)\)
\(=400-1990\)
\(=-1590\)
\(\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+....+\frac{1}{99\cdot101}\)
\(=2\cdot\frac{1}{2}\cdot\left(\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+...+\frac{1}{99\cdot101}\right)\)
\(=\frac{1}{2}\cdot\left(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+...+\frac{2}{99\cdot101}\right)\)
\(=\frac{1}{2}\cdot\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{99}-\frac{1}{101}\right)\)
\(=\frac{1}{2} \cdot\left(1-\frac{1}{101}\right)\)
\(=\frac{1}{2}\cdot\frac{100}{101}\)
\(=\frac{50}{101}\)
\(B=\frac{2^2}{1.3}+\frac{2^2}{3.5}+...+\frac{2^2}{195.197}=2\left(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{195.197}\right)\)
\(=2\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{195}-\frac{1}{197}\right)=2\left(1-\frac{1}{197}\right)=2.\frac{196}{197}=\frac{392}{197}\)
4/3.5+4/5.7+4/7.9+4/9.11
=4.(1/3.5+1/5.7+1/7.9+1/9.11)
=4.1/2.(2/3.5+2/5.7+2/7.9+2/9.11)
=2.(1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)
=2.(1/3-1/11)
=2.8/33
=16/33
4/3.5+4/5.7+4/7.9+4/9.11
=4.2/2.3.5+4.2/2.5.7+4.2/2.7.9+4.2/2.9.11
=4/2.2/3.5+4/2.2/5.7+4/2.2/7.9+4/2.2/9.11
=4/2.(2/3.5+2/5.7+2/7.9+2/9.11)
=4/2.(1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)
=2.(1/3-1/11)
=2.8/33
=16/33
a :
[( 10 - x ) . 2 + 5] : 3 - 2 = 3
( 10 - x ) x 2 + 5 = ( 3+2) x 3
( 10 - x ) x 2 + 5 = 15
10 -x = ( 15 -5 ) : 2
10 - x = 5
x = 5
a) \(\left[\left(10-x\right)2+5\right]:3-2=3\)
\(\left(20-2x+5\right):3-2=3\)
\(\left(20-2x+5\right):3=5\)
\(20-2x+5=15\)
\(20-2x=10\)
\(2x=10\)
\(x=5\)
b) \(6x-302=2^3\cdot5\)
\(6x=8\cdot5+302\)
\(6x=342\)
\(x=57\)
c) \(12\left(x-1\right):3=4^3-2^3\)
\(12\left(x-1\right):3=56\)
\(12\left(x-1\right)=168\)
\(x-1=12\)
\(x=13\)
\(6x-302=2^3.5\)
\(6x-302=8.5\)
\(6x-302=40\)
\(6x=40+302\)
\(6x=342\)
\(\Rightarrow x=57\)
\(6x-302=2^3.5\)
\(\Rightarrow6x-302=8.5\)
\(\Rightarrow6x-302=40\)
\(\Rightarrow6x=40+302=342\)
\(\Rightarrow x=342:6=57\)
Vậy x = 57