vãi cả mình đang cần gấp . Trong khi thứ 2 mới học

`(-2 1/3 ) .( - (-6)/4 )`

`= - (2xx3+1)/3 . 6/4`

`= - 7/3 . 6/4`

`= -42/12`

`= -7/2`

\(\left(-2\dfrac{1}{3}\right).\left(-\dfrac{-6}{4}\right)\)

\(=\left(-\dfrac{7}{3}\right).\dfrac{3}{2}=-\dfrac{7}{2}\)

B=\(1+3^2+3^4+...+3^{100}\)

9B=\(3^2+3^4+...+3^{100}\)

9B-B=\(\left(3^2+3^4+...+3^{102}\right)-\left(1+3^2+3^4+...+3^{100}\right)\)

8B=\(3^{102}-1\)

B=\(\left(3^{102}-1\right):8\)

C=\(1+5^3+5^6+...+5^{99}\)

125C=\(5^3+5^6+5^9+...+5^{102}\)

125C-C=\(\left(5^3+5^6+5^9+...+5^{102}\right)-\left(1+5^3+5^6+...+5^{99}\right)\)

124C=\(5^{102}-1\)

C=\(\left(5^{102}-1\right):124\)

a) =3/11(-5/12+-7/12)-4/15

= 3/11.(-1)-4/15

=(-3)/11-4/15

=-89/165

a)

\(=\frac{3}{11}\left(\frac{-5}{12}+\frac{-7}{12}\right)-\frac{4}{15}\)

\(=\frac{3}{11}\left(\frac{-12}{12}\right)-\frac{4}{15}\)

\(=\frac{3}{11}\left(-1\right)-\frac{4}{15}\)

\(=\frac{3}{11}-\frac{4}{15}\)

\(=\frac{-89}{165}.\)

b) \(\left(\frac{3}{4}-\frac{4}{19}+\frac{2015}{2016}\right).\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)

 = \(\left(\frac{3}{4}-\frac{4}{19}+\frac{2015}{2016}\right).\left(\frac{3}{6}-\frac{2}{6}-\frac{1}{6}\right)\)

 = \(\left(\frac{3}{4}-\frac{4}{19}+\frac{2015}{2016}\right).0\)

 = 0.

Bài 2: 

a: \(=7^4\left(7^2+7-1\right)=7^4\cdot55⋮55\)

b: \(5A=5+5^2+...+5^{51}\)

\(\Leftrightarrow4A=5^{51}-1\)

hay \(A=\dfrac{5^{51}-1}{4}\)

Bài 3:

\(S=\left(1^2+2^3+3^3+...+10^2\right)\cdot2=385\cdot2=770\)

X + \(\frac{5}{2}\)x  \(\frac{2}{3}\)=  \(\frac{5}{2}\)

X  +     \(\frac{5}{3}\)         =  \(\frac{5}{2}\)

           X                 =  \(\frac{5}{2}\)-  \(\frac{5}{3}\)

            X                =    \(\frac{5}{6}\)

~ Hok T ~

x + 5/2 x 2/3 = 5/2

x + 10/6        = 5/2

x                   = 5/2 - 10/6

x                    = 5/6

Ai trên 10 SP k tui ikkkkkkkk

\(\left(6:3,5-1\dfrac{1}{6}\times\dfrac{6}{7}\right):\left(4,2\times\dfrac{10}{11}+5\dfrac{2}{11}\right)\\ =\left(\dfrac{12}{7}-\dfrac{7}{6}\times\dfrac{6}{7}\right):\left(\dfrac{21}{5}\times\dfrac{10}{11}+\dfrac{57}{11}\right)\\ =\left(\dfrac{17}{7}-1\right):\left(\dfrac{42}{11}+\dfrac{57}{11}\right)\\ =\dfrac{10}{7}:9\\ =\dfrac{10}{63}\)

\(\left(6:\dfrac{3}{5}-1\dfrac{1}{6}\times\dfrac{6}{7}\right):\left(4,2\times\dfrac{10}{11}+5\dfrac{2}{11}\right)\)

\(=\left(6\times\dfrac{5}{3}-\dfrac{7}{6}\times\dfrac{6}{7}\right):\left(\dfrac{21}{5}\times\dfrac{10}{11}+\dfrac{57}{11}\right)\)

\(=\left(10-1\right):\left(\dfrac{42}{11}+\dfrac{57}{11}\right)=9:9=1\)

Một hình thang có hiệu hai đáy là 18 cm, đáy bé bằng 3/5 đáy lớn, đáy lớn bằng 3/2 chiều cao. Tình diện tích của hình thang đó ?

Hỡi các thiên tài toán học, hãy giải giúp mình bài toán này !

                                                                                Trân trọng cảm ơn !

a) 1/7 + 2/7 + 3/7 + 4/7 + 5/7 +6/7 = 3

b) 1/2 + 2/4 + 3/6 + 4/8 + 5/10 + 6/12 = 3

câu a bằng 3 nha
câu b cũng bằng 3 nha

a,\(\frac{1}{7}+\frac{2}{7}+\frac{3}{7}+\frac{4}{7}+\frac{5}{7}+\frac{6}{7}=\frac{1+2+3+4+5+6}{7}\)\(=\)\(\frac{21}{7}\)

b,\(\frac{1}{2}+\frac{2}{4}+\frac{3}{6}+\frac{4}{8}+\frac{5}{10}+\frac{6}{12}\)\(=\)\(\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}\)\(=\)\(\frac{1+1+1+1+1+1}{2}\)\(=\)\(\frac{6}{2}=6\div2=3\)