a: =>1/3*4+1/4*5+...+1/x(x+1)=10/39

=>1/3-1/4+...+1/x-1/x+1=10/39

=>1/3-1/(x+1)=10/39

=>1/(x+1)=13/39-10/39=3/39=1/13

=>x+1=13

=>x=12

b: =>15x=150

=>x=10

c: =>120-5x=45

=>5x=75

=>x=15

\(\frac{1.3.5+2.6.10+4.12.20+7.21.35}{1.5.7+2.10.14+4.20.28+7.35.49}\)

\(=\frac{1.3.5\left(1+2+4+7\right)}{1.5.7\left(1+2+7+7\right)}=\frac{1.3.5}{1.5.7}=\frac{15}{35}=\frac{3}{7}\)

\(\frac{1\cdot3\cdot5+2\cdot6\cdot10+4\cdot12\cdot20+7\cdot21\cdot35}{1\cdot5\cdot7+2\cdot10\cdot14+4\cdot20\cdot28+7\cdot35\cdot49}\)

\(=\)\(\frac{1\cdot3\cdot5\cdot\left(1+2+4+7\right)}{1\cdot5\cdot7\cdot\left(1+2+7+7\right)}\)

\(=\frac{1\cdot3\cdot5}{1\cdot5\cdot7}\)\(=\frac{15}{35}=\frac{3}{7}\)

bn vội quá viết nhầm lun kìa 

hj hj chúc bn làm bài tốt nha

Bài 1

A= 3.4 + 4.5+ 5.6+ .......+ 58.59 + 69.60

3A = 3.4.3 + 4.5.3+ 5.6.3+ .......+ 58.59.3 +59.60.3

= 3.4.(5-2) + 4.5.(6-3)+ 5.6.(7-4)+ .......+ 58.59.(60-57) +59.60.(61-58)

= 3.4.5-2.3.4+4.5.6-3.4.5+5.6.7-4.5.6+..........+ 58.59.60-57.58.59+ 59.60.61-58.59.60

=2.3.4+ 59.60.61= 215964

A= 215964: 3= 71988

Bài 2:

A = 2.4 +4.6+ 6.8+.........+ 96.98+98.100

6A= 2.4.6+4.6.6+6.8.6+.........+96.98.6+98.100.6

    = 2.4.6+ 4.6.(8-2) +6.8.(10-4)+.........+96.98.( 100-94) + 98 .100.( 102 - 96)

    = 2.4.6+4.6.8-2.4.6 + 6.8.10 -4.6.8+..........+ 96.98.100-94.96.98+ 98.100.102-96.98.100

    = 98 .100 .102= 999600

A= 999600:6= 166600

ĐỒNG TỐ HIỂU PHONG. CÒN NHIỀU CÂU

a)

`127+246+273+354`

`=(127+273)+(246+354)`

`=400+600`

`=1000`

b)

`1,58+3,04+6,96+3,42`

`=(1,58+3,42)+(3,04+6,96)`

`=5+10`

`=15`

c)

`1/2+1/3+1/5+1/6`

`=(1/2+1/3+1/6)+1/5`

`=(3/6+2/6+1/6)+1/5`

`=6/6+1/5`

`=1+1/5`

`=5/5+1/5`

`=6/5`

a, 127 + 246 + 273 + 354

= ( 127 + 273) + ( 246 + 354)

= 400 + 600

= 1000

b, 1,58 + 3,04 + 6,96 + 3,42

= ( 1,58 + 3,42) + ( 3,04 + 6,96)

= 5 + 10

= 15

c, \(\dfrac{1}{2}\) + \(\dfrac{1}{3}\) + \(\dfrac{1}{5}\) + \(\dfrac{1}{6}\)

=  ( \(\dfrac{1}{2}\) + \(\dfrac{1}{3}\) + \(\dfrac{1}{6}\)) + 0,2

= 1 + 0,2

= 1,2 

a)

$127+246+273+354$

$=(127+273)+(246+354)$

$=400+600$

$=1000$

b)

$1,58+3,04+6,96+3,42$

$=(1,58+3,42)+(3,04+6,96)$

$=5+10$

$=15$

c)

$1/2+1/3+1/5+1/6$

$=(1/2+1/3+1/6)+1/5$

$=(3/6+2/6+1/6)+1/5$

$=6/6+1/5$

$=1+1/5$

$=5/5+1/5$

$=6/5$

4/5 + 3/15 = 1

2/3 + 32/24 = 2

5/6 + 15/18 = 5/3

k nhé:))

\(\frac{4}{5}+\frac{3}{15}=\frac{4}{5}+\frac{1}{5}=\frac{4+1}{5}=\frac{5}{5}=1\)

\(\frac{2}{3}+\frac{32}{24}=\frac{2}{3}+\frac{4}{3}=\frac{2+4}{3}=\frac{6}{3}=2\)

\(\frac{5}{6}+\frac{15}{18}=\frac{5}{6}+\frac{5}{6}=\frac{5+5}{6}=\frac{10}{6}\)

                 HT

a) https://hoc247.net/hoi-dap/toan-7/thuc-hien-phep-tinh-5-5-27-7-23-0-5-5-27-16-23-faq218258.html

b) https://hoidap247.com/cau-hoi/1507941

b) \(\dfrac{10^9.49^4}{14^8.25^5}=\dfrac{\left(2.5\right)^9.\left(7^2\right)^4}{\left(7.2\right)^8.\left(5^2\right)^5}=\dfrac{2^9.5^9.7^6}{7^8.2^8.5^{10}}=\dfrac{2}{7.7.5}=\dfrac{2}{245}\)

\(a,=\left(\dfrac{140}{27}+\dfrac{1}{2}\cdot\dfrac{5}{27}\right)+\left(\dfrac{7}{23}+\dfrac{16}{23}\right)\\ =\left(\dfrac{140}{27}+\dfrac{5}{54}\right)+1=\dfrac{285}{54}+1=\dfrac{339}{54}=\dfrac{113}{18}\\ b,=\dfrac{2^9\cdot5^9\cdot7^8}{7^8\cdot2^8\cdot5^{10}}=\dfrac{2}{5}\)

Hiệu tỉ số :

5 - 3 = 2

Độ dài đáy :

28 : 2 x 5 = 70 (cm)

Chiều cao :

70 - 28 = 42 (cm)

Diện tích :

\(70\times42=2940\left(cm^2\right)\)

.