\(y.3\dfrac{7}{12}=6\dfrac{1}{4}\)

\(y.\dfrac{43}{12}=\dfrac{25}{4}\)

\(y=\dfrac{25}{4}:\dfrac{43}{12}\)

\(y=\dfrac{25.12}{4.43}\)

\(y=\dfrac{75}{43}\)

Sai đề e ơi

Yx7/3=3/2

Y=7/3x3/2

Y=7/2

YYY +YY+ x + x + x + 1 = 1001

3x= 1000-yyy-yy

x= (1000 - yyy - yy)  :3

YY + x  + 5 = 113

x= 133-5 - yy

x= 128-yy

4725 + YYY + YY + x = 5463 

x= 5463- 4725 - yyy - yy

x= 738 -  yyy - yy

|x| - 7 = 11

<=> |x| = 18

<=> x = 18

hoặc x = -18

Vậy...

Bài 1: 

\(101\cdot125+101\cdot25-101\cdot50\)

\(=101\cdot\left(125+25-50\right)\)

\(=101\cdot100\)

\(=10100\)

Bài 2: 

\(76\cdot115+56\cdot24+59\cdot24\)
\(=76\cdot115+24\cdot\left(56+59\right)\)

\(=76\cdot115+24\cdot115\)

\(=115\cdot\left(76+24\right)\)

\(=115\cdot100\)

\(=11500\)

5:

a: =>15x=165

=>x=11

b: =>x(x+1)/2=55

=>x^2+x=110

=>x=10

4: =>7x=56

=>x=8

Bài 1:

101•125+101•25+101•50

= 101•(125+25-50)

=101•100

=10100

Bài 2:

76•115+56•24+59•24

= 76•115+24•(56+59)

= 76•115+24•115

= 115•(76+24)

= 115•100

= 11500

a,2x-13=1

2x=13+1

2x=14

x=14:2

x=7

5⁵.(7+x)=5³

7+x=5⁵:5³

7+x=5²

7+x=25

x=25-7

x=18

\(2x^2+30xy=5\left(x+5y\right)\sqrt{5xy}-50y^2\)\(\left(đk:x;y\ge0\right)\)

\(\Leftrightarrow2x^2+30xy-5\left(x+5y\right)\sqrt{5xy}+50y^2=0\left(1\right)\)

\(đặt:\sqrt{5xy}=b\ge0\Rightarrow5xy=b^2\Rightarrow10xy=2b^2\)

\(x+5y=a\ge0\Rightarrow x^2+10xy+25y^2=â^2\)

\(\Rightarrow2a^2=2x^2+20xy+50y^2\)

\(\Leftrightarrow\left(1\right)\Leftrightarrow2a^2+2b^2-5ab=0\Leftrightarrow\left(2a-b\right)\left(a-2b\right)=0\Leftrightarrow\left[{}\begin{matrix}b=2a\left(2\right)\\a=2b\left(3\right)\end{matrix}\right.\)

\(\left(2\right)\Rightarrow\sqrt{5xy}=2x+10y\Leftrightarrow4x^2+35xy+100y^2=0\left(4\right)\)

\(với:y=0\) \(ko\) \(là\) \(nghiệm\)

\(với:y\ne0\Rightarrow\left(4\right)\Leftrightarrow4\left(\dfrac{x}{y}\right)^2+35\left(\dfrac{x}{y}\right)+100=0\)\(\left(vô-lí\right)\)

\(do:4\left(\dfrac{x}{y}\right)^2+35\left(\dfrac{x}{y}\right)+100>0\)

\(\left(3\right)\Rightarrow x+5y=2\sqrt{5xy}\Leftrightarrow x^2+10xy+25y^2=20xy\Leftrightarrow x^2-10xy+25y^2=0\Leftrightarrow\left(x-5y\right)^2=0\Leftrightarrow x=5y\)

\(thay:x=5y\) \(vào:2x^2+y^2=51\Rightarrow2\left(5y\right)^2+y^2-51=0\Leftrightarrow51y^2-51=0\Leftrightarrow\left[{}\begin{matrix}y=1\left(tm\right)\Rightarrow x=5\left(tm\right)\\y=-1\left(loại\right)\end{matrix}\right.\)

x + ( 9 - 8 + 7 - 6 + 5 - 4 + 3 ) = 90,28

x +                     6                   = 90,28

x                                             = 90,28 - 6

x                                             = 84,28

cảm ơn bạn

k cho mik ik :))

Bài 1:

Theo đề ra ta có:

$a-2\vdots 3; a-3\vdots 5$

$a-2-2.3\vdots 3; a-3-5\vdots 5$

$\Rightarrow a-8\vdots 3; a-8\vdots 5$

$\Rightarrow a-8=BC(3,5)$

$\Rightarrow a-8\vdots 15$

$\Rightarrow a=15k+8$ với $k$ tự nhiên.

Mà $a$ chia 11 dư 6

$\Rightarrow a-6\vdots 11$

$\Rightarrow 15k+8-6\vdots 11$

$\Rightarrow 15k+2\vdots 11\Rightarrow 4k+2\vdots 11$

$\Rightarrow 4k+2-22\vdots 11\Rightarrow 4k-20\vdots 11$

$\Rightarrow 4(k-5)\vdots 11\Rightarrow k-5\vdots 11$

$\Rightarrow k=11m+5$

Vậy $a=15k+8=15(11m+5)+8=165m+83$ với $m$ tự nhiên.

Vì $a<500\Rightarrow 165m+83<500\Rightarrow m< 2,52$

$\Rightarrow m=0,1,2$

Nếu $m=0$ thì $a=165.0+83=83$

Nếu $m=1$ thì $a=165.1+83=248$

Nếu $m=2$ thì $a=165.2+83=413$

Bài 2:

$a=BC(60,85,90)$
$\Rightarrow a\vdots BCNN(60,85,90)$

$\Rightarrow a\vdots 3060$

Mà $a<1000$ nên $a=0$

Bài 3:

$a-2\vdots 3; a-3\vdots 4$

$\Rightarrow a+1\vdots 3$ và $a+1\vdots 4$

$\Rightarrow a+1=BC(3,4)$

$\Rightarrow a+1\vdots 12$

Lại có:

$a-9\vdots 17$ nên $a=17k+9$ với $k$ tự nhiên.

$a+1=17k+10\vdots 12$

$\Rightarrow 5k+10\vdots 12$

$\Rightarrow 5(k+2)\vdots 12$

$\Rightarrow k+2\vdots 12\Rightarrow k=12m-2$ với $m$ tự nhiên.

$\Rightarrow a=17k+9=17(12m-2)+9=204m-25$

$a$ có 3 chữ số

$\Rightarrow 100\leq a\leq 999$

$\Rightarrow 100\leq 204m-25\leq 999$

$\Rightarrow 0,61\leq m\leq 5,01$

$\Rightarrow m\in \left\{1; 2; 3;4; 5\right\}$

$\Rightarrow a\in \left\{179; 383; 587; 791; 995\right\}$