\(\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}+...+\frac{1}{11\times12}\)

\(=\frac{4-3}{3\times4}+\frac{5-4}{4\times5}+\frac{6-5}{5\times6}+...+\frac{12-11}{11\times12}\)

\(=\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{11}-\frac{1}{12}\)

\(=\frac{1}{3}-\frac{1}{12}\)

\(=\frac{1}{4}\)

4x5x6/3x10x8=120/240=120:120/240:120=1/2 nha

~HT~

k cho mình nha

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Bằng 1/2b nha k nhaaa

1) Ta có: |x+3| \(\ge\)0; |2x+y-4| \(\ge\)0

\(\Rightarrow\) |x + 3| + |2x + y - 4| \(\ge\) 0

Dấu = xảy ra khi x+3=0 và 2x+y-4 = 0 \(\Rightarrow\)x=-3; y=10

1)  |x + 3| + |2x + y - 4| = 0

\(\Leftrightarrow\hept{\begin{cases}x+3=0\\2x+y-4=0\end{cases}}\Leftrightarrow\hept{\begin{cases}x=-3\\-6+y-4=0\end{cases}}\Leftrightarrow\hept{\begin{cases}x=-3\\y=10\end{cases}}\)

2) Ta có:  |x + 3| + |x + y - 6| + |7 - 1| = 0

\(\Leftrightarrow\) |x + 3| + |x + y - 6| + 6= 0

\(\Leftrightarrow\)|x + 3| + |x + y - 6| = -6

\(1023456^3=1023456.1023456.1023456=\)kết quả lớn lắm

vay co cach nao tinh dc k

1023456³=1072031456922402800

Bài 3: Số học sinh giỏi của lớp 4A là: 1 - 1/5 - 2/7 = 18/35 số học sinh

\(\dfrac{x}{a}=\dfrac{y}{b}=\dfrac{z}{c}=\dfrac{x+y+z}{a+b+c}=\dfrac{x+y+z}{1}=x+y+z\)

\(\Rightarrow\dfrac{x^2}{a^2}=\dfrac{y^2}{b^2}=\dfrac{z^2}{c^2}=\left(x+y+z\right)^2\) (1)

\(\dfrac{x}{a}=\dfrac{y}{b}=\dfrac{z}{c}\Rightarrow\dfrac{x^2}{a^2}=\dfrac{y^2}{b^2}=\dfrac{z^2}{c^2}=\dfrac{x^2+y^2+z^2}{a^2+b^2+c^2}=\dfrac{x^2+y^2+z^2}{1}=x^2+y^2+z^2\) (2)

(1);(2) \(\Rightarrow\left(x+y+z\right)^2=x^2+y^2+z^2\)

câu b ấy

A mấy = 60 kia

A1 = 60 nha

⚡

 Bạn tham khảo nha:

* \(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{c}{4}=\dfrac{a}{2}=\dfrac{2b}{6}=\dfrac{c}{4}=\dfrac{a+2b+c}{2+6+4}=\dfrac{a+2b+c}{12}\)    (1)

* \(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{c}{4}=\dfrac{a+b-c}{2+3-4}=\dfrac{a+b-c}{2+3-4}=\dfrac{a+b-c}{1}\)             (2)

(1)(2)=> \(\dfrac{a+2b+c}{12}=\dfrac{a+b-c}{1}=\dfrac{a+2b-c}{a+b-c}=\dfrac{12}{1}=12\)

         => H = 12.

  Kết quả: Chọn C.

Chúc bạn học tốt :D

c) \(x-\dfrac{10}{3}=\dfrac{7}{15}\cdot\dfrac{3}{5}\)

    \(x-\dfrac{10}{3}=\dfrac{7}{25}\)

    \(x=\dfrac{7}{25}+\dfrac{10}{3}\)

    \(x=\dfrac{271}{75}\)

d) \(x+\dfrac{3}{22}=\dfrac{27}{121}\div\dfrac{9}{11}\)

    \(x+\dfrac{3}{22}=\dfrac{3}{11}\)

    \(x=\dfrac{3}{11}-\dfrac{3}{22}\)

    \(x\)   \(=\dfrac{3}{22}\)

e) \(\dfrac{8}{23}\div\dfrac{24}{46}-x=\dfrac{1}{3}\)

               \(\dfrac{2}{3}-x=\dfrac{1}{3}\)          

                      \(x=\dfrac{2}{3}-\dfrac{1}{3}\)

                      \(x=\dfrac{1}{3}\)

f) \(1-x=\dfrac{49}{65}\cdot\dfrac{5}{7}\)

   \(1-x=\dfrac{7}{13}\)

         \(x=1-\dfrac{7}{13}\)

         \(x=\dfrac{6}{13}\)