x : 0,1 + x X 3/4 + x : 4 = 121
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4x 11 x 3/4 x 9/121 = ( 4x 3/4) x (11 x 9/121) = 3 x 9/11 = 27/11
\(\dfrac{22}{5}\times\dfrac{6}{121}\times\dfrac{11}{4}\times\dfrac{3}{5}\times\dfrac{1}{3}\times\dfrac{5}{4}\)
\(=\left(\dfrac{22}{5}\times\dfrac{5}{4}\right)\times\left(\dfrac{6}{121}\times\dfrac{11}{4}\right)\times\left(\dfrac{3}{5}\times\dfrac{1}{3}\right)\)
\(=\dfrac{11}{2}\times\dfrac{3}{22}\times\dfrac{1}{5}\)
\(=\dfrac{3}{20}\)
\(=\dfrac{22\times6\times11\times3\times1\times5}{5\times121\times4\times5\times3\times4}=\dfrac{11\times2\times6\times11\times1}{11\times11\times4\times5\times4}=\dfrac{2\times6\times1}{4\times5\times4}=\dfrac{18}{100}=\dfrac{9}{50}\)
`a, (4x+5) : 3 -121:11=14`
`=> (4x+5) : 3 - 11=14`
`=> (4x+5) : 3 =14+11`
`=> (4x+5) : 3 = 25`
`=> 4x+5=25xx3`
`=>4x+5= 75`
`=> 4x=75-5`
`=>4x=70`
`=>x= 70/4`
`=>x= 35/2`
`b, 2+4+6+...+x=2450`
Số lượng của dãy là :
`(x-2)/2 + 1= (x-2)/2 +2/2= x/2`
Tổng số lượng là :
\(\dfrac{\left(x+2\right)\cdot\dfrac{x}{2}}{2}=\dfrac{\dfrac{x^2}{2}+\dfrac{2x}{2}}{2}=\dfrac{x\left(x+2\right)}{4}\)
\(\dfrac{x\left(x+2\right)}{4}=2450\)
\(\Rightarrow x\left(x+2\right)=2450\cdot4\\ \Rightarrow x\left(x+2\right)=9800\)
`=>x=98`
`c,` `1` nhân `32` sao?
`d, 2x+3x=1505`
`=> (2+3)x=1505`
`=> 5x=1505`
`=> x= 1505:5`
`=>x= 301`
( 4 . x + 5 ) : 3 - 121 : 11 = 4
( 4x + 5 ) : 3 - 11 = 4
( 4x + 5 ) = 15
4x = 15 - 5
4x = 10
x = 5/2
Vậy x = 5/2 ( Đề bài ko ghi x thuộc gì nên x thỏa mãn , đừng ghi cái này vào )
\(x:0,1+x:4-x\times\dfrac{3}{4}=2,85\)
\(\Rightarrow x\times10+x\times\dfrac{1}{4}-x\times\dfrac{3}{4}=\dfrac{57}{20}\)
\(\Rightarrow x\times\left(10+\dfrac{1}{4}-\dfrac{3}{4}\right)=\dfrac{57}{20}\)
\(\Rightarrow x\times\dfrac{19}{2}=\dfrac{57}{20}\)
\(\Rightarrow x=\dfrac{57}{20}\times\dfrac{2}{19}\)
\(\Rightarrow x=\dfrac{114}{380}\)
\(\Rightarrow x=\dfrac{3}{10}\)
(4.x):3-121:11=4
(4.x):3-11=4
(4.x):3=4+11
(4.x):3=15
4x=15:3
4x=5
x=\(\frac{5}{4}\)
\(=>\left(4.x\right):3-11=4\)
\(=>\left(4.x\right):3=4+11=15\)
\(=>4.x=15.3=45\)
\(=>x=\frac{45}{4}=11.25\)
=2x2/1x3 x 3x3/2x4x4/3x5 x ... x 11x11/10x12
=2x2x3x3x4x4x...x11x11/1x3x2x4x3x5x...x10x12
= 2x3x4x...x11)x(2x3x4x...x11)/(1x2x3x4x...x11)/(1x2x3x...x10)x(2x3x4x...x11)
=11x2/1x12
=22/12
=11/6
4/3x9/8x16/15x...x121/120=\(\dfrac{2^2}{1\cdot3}\)x\(\dfrac{3^2}{2\cdot4}\)x\(\dfrac{4^2}{3\cdot5}\)x...x\(\dfrac{11^2}{10\cdot12}\)=\(\dfrac{2}{3}\)x\(\dfrac{11}{10}\)=\(\dfrac{11}{15}\)
a)(4.X+5):3-121:11=4
\(\Leftrightarrow\left(4x+5\right):3-11=4\)
\(\Leftrightarrow\left(4x+5\right):3=15\)
\(\Leftrightarrow4x+5=45\)
\(\Leftrightarrow4x=40\)
\(\Leftrightarrow x=10\)
b)2x+2x+3=144
\(\Leftrightarrow2^x\left(1+2^3\right)=144\)
\(\Leftrightarrow2^x=16\)
\(\Leftrightarrow2^x=2^4\)
\(\Leftrightarrow x=4\)