99/200

\(\frac{1}{2\cdot4}+\frac{1}{4\cdot6}+....+\frac{1}{98\cdot100}\)

\(=\frac{1}{2}\left(\frac{2}{2\cdot4}+\frac{2}{4\cdot6}+.......+\frac{2}{98\cdot100}\right)\)

\(=\frac{1}{2}\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+......+\frac{1}{98}-\frac{1}{100}\right)\)

\(=\frac{1}{2}\left(\frac{1}{2}-\frac{1}{100}\right)=\frac{49}{200}\)

Đặt A = 1/2.4 + 1/4.6 + .... +1/98.100

\(2A=\frac{2}{2.4}+\frac{2}{4.6}+...+\frac{2}{98.100}\)

       \(=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{98}-\frac{1}{100}\)

        \(=\frac{1}{2}-\frac{1}{100}\)

         \(=\frac{49}{100}\)

\(\Rightarrow A=\frac{49}{100}\div2=\frac{49}{200}\)

a; \(\dfrac{2}{3}\)\(x\) - \(\dfrac{3}{2}\)\(x\) = \(\dfrac{5}{12}\)

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

     - \(\dfrac{5}{6}\)\(x\) = \(\dfrac{5}{12}\)

     \(x\)   = \(\dfrac{5}{12}\) : (- \(\dfrac{5}{6}\))

     \(x=\) - \(\dfrac{1}{2}\)

Vậy \(x=-\dfrac{1}{2}\) 

b; \(\dfrac{2}{5}\) + \(\dfrac{3}{5}\).(3\(x\) - 3,7) = \(\dfrac{-53}{10}\)

           \(\dfrac{3}{5}\).(3\(x\) - 3,7) = \(\dfrac{-53}{10}\) - \(\dfrac{2}{5}\)

          \(\dfrac{3}{5}\).(3\(x\) - 3,7) = - \(\dfrac{57}{10}\)

         3\(x\) - 3,7 = - \(\dfrac{57}{10}\) : \(\dfrac{3}{5}\)

         3\(x\)   - 3,7 = - \(\dfrac{19}{2}\)

         3\(x\)         = - \(\dfrac{19}{2}\) + 3,7

          3\(x\)        = - \(\dfrac{29}{5}\)

           \(x\)         = - \(\dfrac{29}{5}\) : 3

           \(x\)        = - \(\dfrac{29}{15}\)

Vậy \(x\) \(\in\) - \(\dfrac{29}{15}\) 

c; \(\dfrac{7}{9}\) : (2 + \(\dfrac{3}{4}\)\(x\)) + \(\dfrac{5}{9}\) = \(\dfrac{23}{27}\)

    \(\dfrac{7}{9}\): (2 + \(\dfrac{3}{4}\)\(x\)) = \(\dfrac{23}{27}\) - \(\dfrac{5}{9}\)

     \(\dfrac{7}{9}\):(2 + \(\dfrac{3}{4}\)\(x\)) = \(\dfrac{8}{27}\)

      2 + \(\dfrac{3}{4}\)\(x\) = \(\dfrac{7}{9}\) : \(\dfrac{8}{27}\)

      2 + \(\dfrac{3}{4}\)\(x\) =  \(\dfrac{21}{8}\)

             \(\dfrac{3}{4}x\) = \(\dfrac{21}{8}\) - 2

             \(\dfrac{3}{4}\)\(x\) =  \(\dfrac{5}{8}\)

               \(x\) = \(\dfrac{5}{8}\) : \(\dfrac{3}{4}\)

              \(x\) =  \(\dfrac{5}{6}\)

Vậy \(x=\dfrac{5}{6}\)

1+2+3+4+5+6+7+8+9+10=55 nha

hok tốt ^_^

Trả lời :

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

= ( 1 + 9 ) + ( 2 + 8 ) + ( 3 + 7 ) + ( 4 + 6 ) + 10 + 5

= 10 + 10 + 10 + 10 + 10 + 5

= 10 x 5 + 5

= 50 + 5

= 55

~Moon~

1+2+3+4+5+6+7+8+9+10

= { 1+9 } + { 2+8 } + { 3+7 } + { 4+6 } +5 +10

= 10       +  10      +   10      +   10      +  15

= 55

2x + 6 chia hết cho x + 7

=> 2x + 14 - 8 chia hết cho x + 7

=> 2(x + 7) - 8 chia hết cho x + 7

=> 8 chia hết cho x + 7

=> x + 7 thuộc Ư(8) = {1;2;4;8}

=> x = {-6;-5;-3;1}

=> x = 1

2x+6 chia hết cho x+7

<=> 2x+14)-8 chia hết cho x+7

<=> 2.(x+7) -8 chia hết cho x+7

vì 2.(x+7) chia hết cho x+7 => 8 chia hết cho x+7

=> x+7 thuộc Ư(8)

còn lại tự tìm nha, còn tuy x thuộc Z hay N nữa

\(\frac{2x+6}{x+7}=\frac{2\left(x+7\right)-14+6}{x+7}=2-\frac{8}{x+7}\)
Để 2x+6 chia hết cho x+7 thì \(x+7 \inƯ\left(8\right)\)
<=> x+7={-8;-1;1;8}
<=>x={-15;-8;-6;1}
 

lấy 1 ngón tay ý xong cộng đốt tay vào là ra

1 1 =2 1=3

1D 2C 3B 5B 6B

7C 8D 10D 12B 16B

17A 19C 20B 21C 22A

1.D

2.C

3. B 

5. B

6. B

7. C

8. D

9. B

10. D

12. B

16. B

17. A

18. B

19. C

20. B

21. C

22. A

mk nghỉ zậy nè ngọc ơi !!!

P=1+ 1/2 +1/3 +1/4 +....+1/100 < 0/1 +0/2 +0/3 +...+ 0/100

=>1+ 1/2 +1/3 +1/4 +....+1/100 < 0

=> 1+ 1/2 +1/3 +1/4 +....+1/100 \(\notin\)N

Mình sẽ giúp trước 1 tiếng , mới có 36 phút ò

Bài 1:

a,\(0,75+\frac{9}{17}-1\frac{4}{5}-\frac{26}{17}-2\frac{4}{5}\)

\(=\frac{3}{4}+\left(\frac{9}{17}-\frac{26}{17}\right)-\left(1\frac{4}{5}+2\frac{4}{5}\right)\)

\(=\frac{3}{4}-1-\frac{23}{5}\)

\(=\frac{15}{20}-\frac{20}{20}-\frac{92}{20}=\frac{-97}{20}\)

Bài 2:

a, \(\left(2x+\frac{3}{4}\right)-\frac{10}{3}=\frac{-13}{3}\)

\(2x+\frac{3}{4}=\frac{-13}{3}+\frac{10}{3}\)

\(2x+\frac{3}{4}=-1\)

\(2x=-1-\frac{3}{4}\)

\(2x=\frac{-7}{4}\)

x = -7/8

b, 3,2x - 2,7x + 8,5 = 6

x(3,2 - 2,7) = -2,5

0,5x = -2,5

x = -5