Đổi 3 giờ 15 phút = 3,25 giờ

Hỗn số biểu diễn vận tốc của xe khách là:

 420 : 3,25 = \(\dfrac{1680}{13}\) \(=129\dfrac{3}{13}\)

 => Chọn A

A

m: \(\dfrac{1}{2}+\dfrac{1}{14}+\dfrac{1}{35}+\dfrac{1}{65}+\dfrac{1}{104}+\dfrac{1}{152}\)

\(=\dfrac{2}{4}+\dfrac{2}{28}+\dfrac{2}{70}+\dfrac{2}{130}+\dfrac{2}{208}+\dfrac{2}{304}\)

\(=\dfrac{2}{1\cdot4}+\dfrac{2}{4\cdot7}+\dfrac{2}{7\cdot10}+\dfrac{2}{10\cdot13}+\dfrac{2}{13\cdot16}+\dfrac{2}{16\cdot19}\)

\(=\dfrac{2}{3}\left(\dfrac{3}{1\cdot4}+\dfrac{3}{4\cdot7}+\dfrac{3}{7\cdot10}+\dfrac{3}{10\cdot13}+\dfrac{3}{13\cdot16}+\dfrac{3}{16\cdot19}\right)\)

\(=\dfrac{2}{3}\left(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+...+\dfrac{1}{16}-\dfrac{1}{19}\right)\)

\(=\dfrac{2}{3}\cdot\dfrac{18}{19}=\dfrac{12}{19}\)

e: \(\dfrac{4}{5}+\dfrac{1}{5}\left(x+1\right)=-\dfrac{2}{5}\)

=>\(\dfrac{1}{5}\left(x+1\right)=-\dfrac{2}{5}-\dfrac{4}{5}=-\dfrac{6}{5}\)

=>x+1=-6

=>x=-6-1=-7

g: \(\dfrac{5}{4}-\dfrac{1}{4}:\left(-\dfrac{1}{2}+x\right)=-1\)

=>\(\dfrac{1}{4}:\left(x-\dfrac{1}{2}\right)=\dfrac{5}{4}+1=\dfrac{9}{4}\)

=>\(x-\dfrac{1}{2}=\dfrac{1}{4}:\dfrac{9}{4}=\dfrac{1}{9}\)

=>\(x=\dfrac{1}{9}+\dfrac{1}{2}=\dfrac{11}{18}\)

đmmmmmmmmmmmmmmmmmmmmmmmmmmmm

;-;   

\(a,=-17+91-91+17+2011=\left(-17+17\right)+\left(91-91\right)+2011\)

\(=0+0+2011=2011\)

ai tick ông v

xy=-11, x<y

x,y nguyên => \(\hept{\begin{cases}x=-11\\y=1\end{cases}}\)

Vậy (x;y)=(-11;1)

Vì (13x + 4y) ⋮ 17 => 5(13x + 4y) ⋮ 17 hay (65x + 20y) ⋮ 17 (1). Nếu (7x + 10y) ⋮ 17 => 2(7x + 10y) ⋮ 17 hay (14x + 20y) ⋮ 17 (2). Từ (1)(2) => (65x + 20y) - (14x + 20y) = 51x = 17.3x ⋮ 17 => (7x + 10y) ⋮ 17. Vậy (7x + 10y) ⋮ 17 (đpcm)

mng thấy chx 

rùi

Bạn cần giúp gì thế ạ ! Mình sẵn lòng :)

\(\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+...+\dfrac{1}{x\left(x+1\right)}=\dfrac{2008}{2009}\)

\(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{x}-\dfrac{1}{x+1}=\dfrac{2008}{2009}\)

\(1-\dfrac{1}{x+1}=\dfrac{2008}{2009}\)

\(\dfrac{x+1-1}{x+1}=\dfrac{2008}{2009}\)

\(\dfrac{x}{x+1}=\dfrac{2008}{2009}\)

\(\Leftrightarrow2008x+2008=2009x\)

\(\Leftrightarrow x=2008\)