\(x:\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{5}{3}\\ \Rightarrow x:\dfrac{1}{2}=\dfrac{9}{12}+\dfrac{20}{12}\\ \Rightarrow x:\dfrac{1}{2}=\dfrac{29}{12}\\ \Rightarrow x=\dfrac{29}{12}\times\dfrac{1}{2}\\ \Rightarrow x=\dfrac{29}{24}\)

\(x\div\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{5}{3}\)

\(x\div\dfrac{1}{2}=\dfrac{29}{12}\)

\(x=\dfrac{29}{12}\times\dfrac{1}{2}\)

\(x=\dfrac{29}{24}\)

x : 1/2 = 29/12

x = 29/12 x 1/2

x = 29/24

\(2\sqrt{48}-3\sqrt{75}+5\sqrt{3}\)

\(=2\sqrt{16.3}-3\sqrt{25.3}+5\sqrt{3}\)

\(=2\sqrt{4^2.3}-3\sqrt{5^2.3}+5\sqrt{3}\)

\(=2.4\sqrt{3}-3.5\sqrt{3}+5\sqrt{3}\)

\(=8\sqrt{3}-15\sqrt{3}+5\sqrt{3}\)

\(=\left(8-15+5\right).\sqrt{3}\)

\(=-2\sqrt{3}\)

\(-\dfrac{1}{2}x+6< 0\Leftrightarrow-\dfrac{1}{2}x< -6\Leftrightarrow\cdot\dfrac{1}{2}x>6\Leftrightarrow x>12\)

(sai thì thoi nha)

\(-\dfrac{1}{2}x+6< 0\)

\(\Leftrightarrow-\dfrac{1}{2}x< -6\)

\(\Leftrightarrow x>\left(-6\right):\left(-\dfrac{1}{2}\right)\)

\(\Leftrightarrow x>12\)

--> Chọn A

Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:

\(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{2x-y}{2\cdot3-5}=11\)

Do đó: x=33; y=55

\(\dfrac{x}{y}=\dfrac{3}{5}\Rightarrow\dfrac{x}{3}=\dfrac{y}{5}\)

Áp dụng tính chất của dãy tỉ số bằng nhau ta có:

\(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{2x-y}{2.3-5}=\dfrac{11}{1}=11\)

\(\dfrac{x}{3}=11\Rightarrow x=33\\ \dfrac{y}{5}=11\Rightarrow y=55\)

\(x:\left(-2\right)^5=\left(-2\right)^3\\ \Rightarrow x=\left(-2\right)^3.\left(-2\right)^5\\ \Rightarrow x=\left(-2\right)^8\\ \Rightarrow x=2^8\)

sorry ạ

?

mình ghi lộn

\(\Leftrightarrow x=-8\cdot32=-256\)

`a)37/9-y=6/5xx15/16`

`37/9-y=9/8`

`y=37/9-9/8`

`y=296/72-81/72=215/72`

`b)y xx3/15=4/5-2/3`

`y xx3/15=12/15-10/15`

`y xx3/15=2/15`

`y=2/15:3/15`

`y=2/15xx15/3=2/3`

a, 37/9 - Y = 6/5 x 15/16

37/9 - Y = 9/8

Y = 37/9 - 9/8

Y = 296/72 - 81/72

Y = 215/72

b, Y x 3/15 = 4/5 - 2/3

 Y x 3/15 =  2/15

Y = 2/15 : 3/15

Y = 2/15 x 15/3

Y = 2/3

b: Ta có: \(\dfrac{12}{5}:x+\dfrac{4}{3}=3+\dfrac{2}{3}\)

\(\Leftrightarrow\dfrac{12}{5}:x=3-\dfrac{2}{3}=\dfrac{7}{3}\)

hay \(x=\dfrac{12}{5}:\dfrac{7}{3}=\dfrac{36}{35}\)