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\(\frac{25-x}{56}=\frac{6}{16}\)
\(\Rightarrow\frac{25-x}{56}=\frac{3}{8}\)
\(\Rightarrow\left(25-x\right).8=56.3\)
\(\Rightarrow25.8-8x=168\)
\(\Rightarrow200-8x=168\)
\(\Rightarrow8x=200-168\)
\(\Rightarrow8x=32\)
\(\Rightarrow x=32:8\)
\(\Rightarrow x=4\)
Tham khảo nha !!!
Cách này dễ hơn nèk :
\(\frac{25-x}{56}=\frac{6}{16}\)
\(\Leftrightarrow\)\(\frac{25-x}{56}=\frac{3}{8}\)
\(\Leftrightarrow\)\(\frac{25-x}{56}=\frac{21}{56}\)
\(\Leftrightarrow\)\(25-x=21\)
\(\Leftrightarrow\)\(x=25-21\)
\(\Leftrightarrow\)\(x=4\)
Vậy \(x=4\)
Chúc bạn học tốt ~
\(\frac{25-x}{56}=\frac{6}{16}\)
\(\frac{25-x}{56}=\frac{3}{8}\)
\(\frac{25-x}{56}=\frac{21}{56}\)
\(\Rightarrow25-x=21\)
\(\Rightarrow x=25-21\)
\(\Rightarrow x=4\)
Vậy x=4
=>(25-x)16=6x56=280
25-x=17.5
x=7.5=15/2
vậy x=15/2
Theo đề ta có: \(\frac{25-x}{56}=\frac{6}{16}\)
Ta rút gọn: \(\frac{25-x}{56}=\frac{3}{8}\)
\(\Leftrightarrow\)25 -x . 8 = 56 . 3
\(\Rightarrow\)25 - x . 8 = 168
\(\Rightarrow\)25 - x = 168 : 8
\(\Rightarrow\)25 - x = 21
\(\Rightarrow\) - x = 21 - 25
\(\Rightarrow\) - x = -4
\(\Rightarrow\) x = 4
Vậy x = 4.
25 - x / 56 = 6/16
( 25 - x ) : 56 = 6/16
25 - x = 6/16 x 56
25 - x = 21
x = 25 - 21
x = 4
\(\frac{25-x}{56}=\frac{6}{16}\)
\(\frac{x}{56}=25-\frac{6}{16}\)
\(\frac{x}{56}=24\frac{5}{8}\)
\(\frac{x}{56}=24\frac{35}{56}\)
\(\frac{x}{56}=\frac{24\cdot56+35}{56}\)
\(\frac{x}{56}=\frac{1379}{56}\)
Vậy số cần tìm là \(1379\)
25-x/56 = 6/16
=> 2.(25-x)/112=7.6/112
=> 2.(25-x)= 42
=> 50 - 2x = 42
=> -2x = 50 - 42
=> -2x = 8
=> x = 8:(-2)
=> x = 4
=13/12x14/13x15/14x16/15x...x2006/2005x2007/2006x2008/2007
=2008/12
=502/3
A = 1\(\dfrac{1}{12}\) \(\times\) 1\(\dfrac{1}{13}\) \(\times\) 1\(\dfrac{1}{14}\) \(\times\) 1\(\dfrac{1}{15}\) \(\times\) ... \(\times\) 1\(\dfrac{1}{2005}\) \(\times\) 1\(\dfrac{1}{2006}\) \(\times\) 1\(\dfrac{1}{2007}\)
A = ( 1 + \(\dfrac{1}{12}\)) \(\times\) ( 1 + \(\dfrac{1}{13}\)) \(\times\) ( 1 + \(\dfrac{1}{14}\)) \(\times\)...\(\times\) ( 1 + \(\dfrac{1}{2006}\))\(\times\)(1+\(\dfrac{1}{2007}\))
A = \(\dfrac{13}{12}\) \(\times\) \(\dfrac{14}{13}\) \(\times\) \(\dfrac{15}{14}\) \(\times\) ...\(\times\) \(\dfrac{2007}{2006}\) \(\times\) \(\dfrac{2008}{2007}\)
A = \(\dfrac{13\times14\times15\times...\times2007}{13\times14\times15\times...\times2007}\) \(\times\) \(\dfrac{2008}{12}\)
A = 1 \(\times\) \(\dfrac{502}{3}\)
A = \(\dfrac{502}{3}\)
Ta có công thức tổng quát:
\(\dfrac{k}{n\cdot\left(n+k\right)}=\dfrac{1}{n}-\dfrac{1}{n+k}\)
\(a,A=\dfrac{1}{5\cdot8}+\dfrac{1}{8\cdot11}+...+\dfrac{1}{x\left(x+3\right)}\\ =\dfrac{1}{3}\left(\dfrac{3}{5\cdot8}+\dfrac{3}{8\cdot11}+...+\dfrac{3}{x\left(x+3\right)}\right)\\ =\dfrac{1}{3}\left(\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{11}+...+\dfrac{1}{x}-\dfrac{1}{x+3}\right)\\ =\dfrac{1}{3}\cdot\left(\dfrac{1}{5}-\dfrac{1}{x+3}\right)\\ =\dfrac{1}{3}\cdot\dfrac{x-2}{5\left(x+3\right)}\\ =\dfrac{x-2}{15\left(x+3\right)}\)
Theo đề bài ta có:
\(A=\dfrac{101}{1540}\\ \Rightarrow\dfrac{x-2}{15\left(x+3\right)}=\dfrac{101}{1540}\\ \Rightarrow\dfrac{x-2}{x+3}=\dfrac{303}{308}\\ \Rightarrow\dfrac{x-2}{x+3}=\dfrac{305-2}{305+3}\\ \Rightarrow x=305\)
\(71+52,5\times4=\frac{x+140}{x}+210\)
\(71+210=\frac{x+140}{x}+210\)
\(=>\frac{x+140}{x}=71\)
\(71=\frac{142}{2}\)\(\Rightarrow x=142-140=2\)
\(\frac{x.x}{25.x}=\frac{16.25}{25.x}\) quy đồng
\(x.x=16.25\)cùng mẫu=> tử = nhau
\(x.x=\left(4.4\right)\left(5.5\right)=\left(4.5\right)\left(4.5\right)\) tính chất giao hoán
\(x.x=20.20\Rightarrow x=20\)
`(25-x)/56 = 6/16`
`=> (25-x)xx16= 56xx6`
`=> (25-x)xx16= 336`
`=> 25-x=336:16`
`=> 25-x=21`
`=>x=25-21`
`=>x=4`
Ựa, chị quy đồng cùng mẫu nhanh hưn á