Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\text{K - 2016 = }\frac{\text{1 + ( 1 + 2 ) + ( 1 + 2 + 3 ) + ... + ( 1 + 2 + 3 + ... + 2017 )}}{\text{2017 x 1 + 2016 x 2 + 2015 x 3 + ... + 2 x 2016 + 1 x 2017}}\)
\(\frac{2}{5}\times\frac{1}{2}-\frac{2}{5}\times\frac{1}{3}-\frac{2}{5}\times\)\(\frac{1}{6}\)
\(=\frac{2}{5}\times\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
\(=\frac{2}{5}\times\frac{0}{6}\)
\(=\frac{2}{5}\times0\)
\(=0\)
\(\frac{2}{5}\times\frac{1}{2}-\frac{2}{5}\times\frac{1}{3}-\frac{2}{5}\times\frac{1}{6}\)
\(=\frac{2}{5}\times\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
\(=\frac{2}{5}\times0\)
\(=0\)
đơn giản
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{2}{x.\left(x+1\right)}=\frac{39}{40}\)
\(\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+...+\frac{2}{x.\left(x+1\right)}=\frac{39}{40}\)
\(2.\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{x.\left(x+1\right)}\right)=\frac{39}{40}\)
\(2.\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{39}{40}\)
\(2.\left(\frac{1}{2}-\frac{1}{x+1}\right)=\frac{39}{40}\)
\(\frac{1}{2}-\frac{1}{x+1}=\frac{39}{40}:2\)
\(\frac{1}{2}-\frac{1}{x+1}=\frac{39}{80}\)
\(\frac{1}{x+1}=\frac{1}{2}-\frac{39}{80}\)
\(\frac{1}{x+1}=\frac{1}{80}\)
\(\Rightarrow x+1=80\)
\(\Rightarrow x=80-1=79\)
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+....+\frac{2}{x\left(x+1\right)}=\frac{39}{40}\)
\(\Leftrightarrow\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+....+\frac{2}{x\left(x+1\right)}=\frac{39}{40}\)
\(\Leftrightarrow\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+....+\frac{2}{x\left(x+1\right)}=\frac{39}{40}\)
\(\Leftrightarrow2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{39}{40}\)
\(\Leftrightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{39}{40}\div2=\frac{39}{80}\)
\(\Leftrightarrow\frac{1}{x+1}=\frac{1}{2}-\frac{39}{80}=\frac{1}{80}\)
\(\Leftrightarrow x+1=80\Rightarrow x=80-1=79\)
Vậy \(x=79\)
a)x : 3 - 7 * 2 = 1,56
x : 3 - 14 = 1,56
x : 3 = 1,56 + 14
x : 3 = 15,56
x = 15,56 * 3
x = 46,68
b)nếu dấu chấm trên đề là dấu phẩy thì:
x : 6,4 = 1,248
x = 1,248 * 6,4
x = 7,9872
c)(x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) = 40
x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 40
(x + x + x + x + x) + (1 + 2 + 3 + 4 + 5) = 40
5 * x + 15 = 40
5 * x = 40 - 15
5 * x = 25
x = 25 : 5
x = 5
A) X:3 - 7 * 2 = 1,56
X:3-14=1,56
X:3=1,56+14
X:3=5,56
X= 5,56* 3 =16,68
B) X : 6 . 4 = 1 ,248
X = 1,248 :4 *6
X=1,872
C) ĐỀ DÀI LÀM LUN
= 5X + (1+2+3+4+5) =40
5X+15 =40
5X= 40-15=25
X= 25:5=5
A=29 1/2 * 2/3 +39 1/3 * 3/4 + 5/6
A=29 1/2 * 39 1/3 * (2/3 + 3/4 + 5/6)
A=29 1/2 * 39 1/3 * (1/2 + 5/6)
A=29 1/2 * 39 1/3 * 4/3
A=29 1/2 * 52
A=1534
Dấu * là dấu nhân nha !!!
Còn bài 2 mình ko biết
b)0,5x+2/3x+2/3=7/2
1/2x+2/3x+2/3=7/2
x(1/2+2/3)+2/3=7/12
x.7/6+2/3 =7/12
x.7/6 =7/12-2/3
x.7/6 =-1/12
x =-1/12:7/6
x =-1/14
b)3/5-2/15:x=1/2
2/15:x =3/5-1/2
2/15:x =1/10
x =2/15:1/10
x = 4/3
a= 0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,0.11,0.12 ....................................
x : 6 x ( 2017 - 1 ) = 2
x : 6 x 2016 = 2
x = 2016 : 2 x 6
x = 6048
~ Chúc bạn học tốt ~
\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+222\right)=27195\)
\(\Leftrightarrow\left(x+x+x+...+x\right)+\left(1+2+3+...+222\right)=27195\)
\(\Leftrightarrow\left(x+x+x+...+x\right)+\frac{\left(222+1\right)\left[\left(222-1\right):1+1\right]}{2}=27195\)
\(\Leftrightarrow222x+24753=27195\)
\(\Leftrightarrow222x=2442\Leftrightarrow x=11\)
\(222x+\left(1+2+3+4+...+222\right)=27195\)
1 + 2 + 3 + 4 + ... + 222
Số số hạng : ( 222 - 1 ) : 1 + 1 = 222
Tổng : ( 222 + 1 ) x 222 : 2 = 24753
\(222x+24753=27195\)
\(222x=27195-24753\)
\(222x=2442\)
\(x=11\)
3 - (2 x \(x\) + \(\dfrac{1}{2}\)) : \(\dfrac{1}{2}\) = 2
(2 x \(x\) + \(\dfrac{1}{2}\)) : \(\dfrac{1}{2}\) = 3 - 2
(2 x \(x\) + \(\dfrac{1}{2}\)) : \(\dfrac{1}{2}\) = 1
2 x \(x\) + \(\dfrac{1}{2}\) = 1 x \(\dfrac{1}{2}\)
2 x \(x\) + \(\dfrac{1}{2}\) = \(\dfrac{1}{2}\)
2 x \(x\) = \(\dfrac{1}{2}\) - \(\dfrac{1}{2}\)
2 x \(x\) = 0
\(x\) = 0 : 2
\(x\) = 0
3 - ( 2 x X + 1/2 ) : 1/2 = 2
3 - ( 2 x X + 1/2 ) : 1/2 = 3 - 2
2 x X + 1/2 = 1 x 1/2
2 x X + 1/2 = 1/2
2 x X = 1/2 - 1/2
2 x X = 0
X = 0 : 2
X = 0