(x+1)+(x+3)+(x+5)+....+(x+55)=784
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Bài 2: Tính bằng cách thuận tiện nhất:
a) 239 x 45 + 55 x 239 b) 459 x 107 – 7 x 459
= 239 x (45 + 55) = 459 x (107 - 7)
= 239 x 100 = 495 x 100
= 23900 = 49500
c) 784 x 98 +784 +784 d) 982 x 1003 – 982 x2 – 982
= 784 x 98 + 784 x 2 = 982 x (1003 -2 -1)
= 784 x (98+2) = 982 x 1000
= 784 x 100 = 982000
= 78400
a) Ta có: \(\dfrac{x}{14}-\dfrac{1}{7}=\dfrac{-3}{4}\)
\(\Leftrightarrow\dfrac{x}{14}=\dfrac{-3}{4}+\dfrac{1}{7}=\dfrac{-21}{28}+\dfrac{4}{28}=\dfrac{-17}{28}\)
hay \(x=\dfrac{-17\cdot14}{28}=\dfrac{-17}{2}\)
Vậy: \(x=-\dfrac{17}{2}\)
a/ 22(x + 32) - 5 = 55 b/ 155 - 10(x+1) = 55
4(x + 32) = 60 10(x + 1) = 100
x + 32 = 60 : 4 x + 1 = 10
x + 32 = 15 x = 10 - 1
x = 15 - 32 x = 9
x = - 17
c/ 5. 22 + (x+3) = 52 53 - 5 (4 + x) = 15
20 + (x+3) = 25 125 - 5(4 +x) = 15
x+ 3 = 5 5(4 + x) = 110
x = 5-3 4 + x= 110 : 2
x = 2 4 + x = 55
x = 51
ủng hộ mk nha !!!! ^_^
7,2 x 2,8 + 7,3 x 7,2 = 7,3 x (2,8 + 7,2)
= 7,3 x 10 = 73
54,57 x 83 - 54,57 x 23 = 54,57 x (83 - 23)
= 54,57 x 60 = 3274,2
1/2 x 45 + 0,5 x 37 + 5/10 x 18
= 0,5 x 45 + 0,5 x 37 + 0,5 x 18
= 0,5 x (45 + 37 + 18 )
= 0,5 x 100 = 50
0,125 x 4 x 784 x 8
= (0,125 x 8) x ( 4 x 784)
= 1 x 3136 = 3136
7,2 x 2,8 + 7,3 x 7,2
=7,2x(2,8+7,3)
=7,2x10,1
=72,72
54,57 x 83 - 54,57 x 23
=54,57 x (83-23)
=54,57 x 60
=3274,2
1/2 x 45 + 0,5 x 37 + 5/10 x 18
=1/2 x 45+1/2 x 37+1/2 x 18
=1/2 x (45+37+18)
=1/2 x 100
=50
0, 125 x 4 x 784 x 8
=(0,125 x 8) x (784 x 4)
=1 x 3136
=3136
= 11/55+ 10/55<x/55<2/5+1/55
=2/5<x/55<23/55
=22/55<x/55<23/55
=> x thuộc rỗng
x/21=4/7+(-7)/3
= x/21=12/21+(-49)/21
= x/21=-37/21
=> x = -37
d,155-10(x+1)=55
10(x+1) = 155 - 55
10(x+1) = 100
x+1 = 100 : 10
x+1 = 10
x = 10 - 1 =9
e,6(x+\(2^3\))+40=100
6(x+\(2^3\)) = 100 - 40
6(x+\(2^3\)) = 60
(x+\(2^3\)) = 60 : 6
(x+\(2^3\)) = 10
x = 10 - \(2^3\)
x = 10 - 8 = 2
f,\(2^2\)(x+\(3^2\))-5=55
\(2^2\)(x+\(3^2\)) = 55 + 5
\(2^2\)(x+\(3^2\)) = 60
(x+\(3^2\)) = 60 : \(2^2\)
(x+\(3^2\)) = 60 : 4
(x+\(3^2\)) = 15
x + 9 = 15
x = 15-9=6.
Hok tốt !
d) \(155-10\left(x+1\right)=55\)
\(\Rightarrow10\left(x+1\right)=155-55\)
\(\Rightarrow10\left(x+1\right)=100\)
\(\Rightarrow x+1=100:10\)
\(\Rightarrow x+1=10\)
\(\Rightarrow x=10-1\)
\(\Rightarrow x=9\)
Vậy x = 9
e) \(6\left(x+2^3\right)+40=100\)
\(\Rightarrow6\left(x+2^3\right)=100-40\)
\(\Rightarrow6\left(x+2^3\right)=60\)
\(\Rightarrow x+2^3=60:6\)
\(\Rightarrow x+2^3=10\)
\(\Rightarrow x+8=10\)
\(\Rightarrow x=10-8\)
\(\Rightarrow x=2\)
Vậy x = 2
f) \(2^2\left(x+3^2\right)-5=55\)
\(\Rightarrow2^2\left(x+3^2\right)=55+5\)
\(\Rightarrow2^2\left(x+3^2\right)=60\)
\(\Rightarrow4\left(x+9\right)=60\)
\(\Rightarrow x+9=60:4\)
\(\Rightarrow x+9=15\)
\(\Rightarrow x=15-9\)
\(\Rightarrow x=6\)
Vậy x = 6
-( -x + 13 - 142 ) + 18 = 55
-( -x - 129) + 18 = 55
x + 129 + 18 = 55
x + 147 = 55
x = 55 - 147
x = -92
b, 25 - 3.(6 -x ) = 22
3(6-x) = 25 - 22
3(6-x) = 3
6 - x = 1
x =5
c, [ ( 2x - 11 ) :3 +1] .5 = 20
( 2x - 11) : 3 + 1 = 20 : 5
(2x - 11) : 3 + 1 = 4
( 2x - 11) : 3 = 4 - 1
(2x - 11 ) : 3 = 3
2x - 11 = 3 x 3
2x - 11 = 9
2x = 9 + 11
2x = 20
x = 10
d, 3(x+5) - x - 11 = 24
3(x+5) - x = 24 +11
3x + 15 - x = 35
2x = 35 - 15
2x = 20
x = 10
`#qlv`
`(11)/(25) . (y + y5 - (23)/(55)) + 3/(14) . (56)/(25) = 1`
`=> (11)/(25) . (6y - (23)/(55)) + (12)/(25) = 1`
`=> (11)/(25) . (6y - (24)/(55)) = 1 - (12)/(25)`
`=> (11)/(25) (6y - (23)/(55)) = (13)/(25)`
`=> 6y - (23)/(55) = (13)/(25) : (11)/(25)`
`=> 6y - (23)/(55) = (13)/(11)`
`=> 6y = (13)/(11) + (23)/(55)`
`=> 6y = 8/5`
`=> y = 8/5 : 6`
`=> y = 8/5 . 1/6`
`=> y = 4/(15)`
Vậy `y = 4/(15)`
\(\dfrac{11}{25}\times\left(y+y\times5-\dfrac{23}{55}\right)+\dfrac{3}{14}\times\dfrac{56}{25}=1\)
\(\Rightarrow\dfrac{11}{25}\times\left(10\times y-\dfrac{23}{55}\right)+\dfrac{12}{25}-1=0\)
\(\Rightarrow\dfrac{22}{5}\times y-\dfrac{23}{125}-\dfrac{13}{25}=0\)
\(\Rightarrow\dfrac{22}{5}\times y=\dfrac{88}{125}\)
\(\Rightarrow y=\dfrac{88}{125}:\dfrac{22}{5}\)
\(\Rightarrow y=\dfrac{4}{25}\)
(x+1) + (x+3) + (x+5) +.......+(x+55) = 784
Dãy số trên là dãy số cách đều khoảng cách :
x + 3 - x - 1 = 2
Dãy số trên có số số hạng :
( x +55 - x - 1) : 2 + 1 = 28
(x+ 55+ x +1). 28: 2 = 784
(2x + 56). 14 = 784
2x + 56 = 784 : 14
2x + 56 = 56
2x = 56- 56
2x = 0
x = 0
\(\left(x+1\right)+\left(x+3\right)+\left(x+5\right)+...+\left(x+55\right)=784\)
\(x+1+x+3+x+5+...+x+55=784\)
\(\left(x+x+...+x\right)+\left(1+3+5+...+55\right)=784\)
\(27x+784=784\)
\(27x=0\)
\(x=0\)