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\(a;343-4\times\left(x+1\right)=143\)
\(4\times\left(x+1\right)=343-143\)
\(4\times\left(x+1\right)=200\)
\(x+1=200:4\)
\(x+1=50\)
\(x=50-1=49\)
Mấy câu hỏi trẻ trâu thì tự tính nhé
\(\frac{1}{5.8}+\frac{1}{8.11}+...+\frac{1}{x.\left(x+3\right)}=\frac{101}{1540}\)
\(\Leftrightarrow\frac{1}{3}.\left(\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{x.\left(x+3\right)}\right)=\frac{101}{1540}\)
\(\Leftrightarrow\frac{1}{3}\left(\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{x}-\frac{1}{x+3}\right)=\frac{101}{1540}\)
\(\Leftrightarrow\frac{1}{3}.\left(\frac{1}{5}-\frac{1}{x+3}\right)=\frac{101}{1540}\)
\(\Leftrightarrow\frac{1}{5}-\frac{1}{x+3}=\frac{303}{1540}\)
\(\Leftrightarrow\frac{1}{x+3}=\frac{1}{308}\)
\(\Leftrightarrow x+3=308\)
\(\Leftrightarrow x=305\)
Vậy x=305
\(a)4(15-18)-(3-5).(-3)^2\)
\(=4.\left(-3\right)-2.9\)
\(=6\)
\(b)(-4-11):(-3)\)
\(=-15:\left(-3\right)\)
\(=5\)
\(c)143-(-57)-(-2)^3.(-3)^0\)
\(=143+57+8.1\)
\(=208\)
\(d,\left(-5\right).\left[\left(90-2.5\right)-10^2+10:\left|-2\right|\right]\)
\(=-5.\left[80-100+10:2\right]\)
\(=-5.-15\)
\(=75\)
BÀI 2
60%.x + 0,4.x + x:3= 2
\(\frac{60}{100}\)x + \(\frac{4}{10}\).x + x. \(\frac{1}{3}\)=2
\(\frac{3}{5}\).x + \(\frac{2}{5}\).x + x.\(\frac{1}{3}\)=2
(\(\frac{3}{5}\)+ \(\frac{2}{5}\)+ \(\frac{1}{3}\)) .x =2
\(\frac{4}{3}\).x =2
x = 2: \(\frac{4}{3}\)
x = \(\frac{3}{2}\)
Vậy x=\(\frac{3}{2}\)
k cho mik nha các bạn
Bài 2 :
60%x + 0.4x + x : 3 = 2
\(x.\left(\frac{60}{100}+\frac{2}{5}+\frac{1}{3}\right)\)= 2
\(x.\frac{4}{3}\)= 2
\(x=2.\frac{3}{4}\)
\(x=1.5\)
a , 35 * 34 + 35 * 86 + 65 * 75 + 65 * 45
= 35 * ( 34 + 86 ) + 65 * (75 + 45 )
= 35 * 120 + 65 * 120
= 120 * ( 35 + 65 )
= 120 * 100
= 12000
b , 11+12 + ...+ 20
= ( 11 +19 ) +( 12 + 18 ) + ( 13 + 17 ) + ( 14 + 16 ) +15 +20
= 30 + 30 + 30 + 30 + 15 + 20
= 30 * 4 + 35
= 120 + 35
= 155
c , 8 * 9 * 11 + 6 * 20 * 12 + 19 * 4 * 18
= 792 + 1440 + 1368
=3600
d , 143 * ( 57 - 36 ) - 57 * ( 143 - 36 )
= 143 * 57 - 143 * 36 - 57 * 143 - 57 * 36
= 143 * 57 - 57 * 143 - 143 * 36 - 57 * 36
= 0 - ( 143 - 57 )
= 0 - 86
= - 86
a) \(35.34+35.86+65.75+65.45\)
\(=35.\left(34+86\right)+65.\left(75+45\right)\)
\(=35.120+65.120\)
\(=\left(35+65\right).120\)
\(=100.120\)
\(=12000\)
b) \(11+12+...+20\)
Số số hạng của dãy là : (20 - 11) : 1 + 1 = 10 (số)
Tổng của dãy là : (20 + 1) x 10 : 2 = 105
c) \(8.9.11+6.20.12+19.4.18\)
\(=\left(8.9\right).11+\left(6.12\right).20+\left(4.18\right).19\)
\(=72.11+72.20+72.19\)
\(=72.\left(11+20+19\right)\)
\(=72.50\)
\(=3600\)
d) \(143.\left(57-36\right)-57.\left(143-36\right)\)
\(=143.57-143.36-57.143-57.36\)
\(=\left(143.57-57.143\right)-\left(143.36-57.36\right)\)
\(=0-36.\left(143-57\right)\)
\(=0-36.86\)
\(=0-3096\)
\(=-3096\)
_Chúc bạn học tốt_
a.219 - 7(x+1) = 100
7(x+1) = 219 - 100
7(x+1) = 119
x + 1 = 119 : 7
x + 1 = 17
x = 17 - 1
x = 16
b. (3x - 6 ) . 3 = 36
3x - 6 = 36 : 3
3x - 6 = 12
3x = 12 + 6
3x = 18
x = 18 : 3
x = 6
c.716 - ( x-143) = 659
x-143 = 716 - 659
x-143 = 57
x = 57 + 143
x = 200
b. 30 - [4(x-2)+15] = 3
4(x-2) + 15 = 30 - 3
4(x-2)+15 = 27
4(x-2) = 27 - 15
4(x-2) = 12
x-2 = 12 : 4
x-2 = 3
x = 2 + 3 = 5
e.[(8x - 12) : 4] .33 = 36
[(8x - 12) : 4] . 27 = 729
(8x - 12) : 4 = 729 : 27 = 27
8x - 12 = 27 . 4 = 108
8x = 108 + 12 = 120
x = 120 : 8 = 15
a) \(\Leftrightarrow7\left(x+1\right)=119\\ \Leftrightarrow x+1=17\\ \Leftrightarrow x=16\)
b) \(\Leftrightarrow9\left(x-2\right)=36\\ \Leftrightarrow x-2=4\\ \Leftrightarrow x=6\)
c) \(\Leftrightarrow x-143=57\\ \Leftrightarrow x=200\)
d) \(\Leftrightarrow4\left(x-2\right)+15=27\\ \Leftrightarrow4\left(x-2\right)=12\\ \Leftrightarrow x-2=3\\ \Leftrightarrow x=5\)
e) \(\Leftrightarrow\left(2x-3\right).4:4=3^3\\ \Leftrightarrow2x-3=27\\ \Leftrightarrow2x=24\\ \Leftrightarrow x=12\)
b) xy+3x-7y=21
=>xy+3x-7y-21=0
=>x(y+3)-7(y+3)=0
=>(y+3)(x-7)=0
\(\Rightarrow\orbr{\begin{cases}y+3=0\\x-7=0\end{cases}\Rightarrow\orbr{\begin{cases}y=-3\\x=7\end{cases}}}\)
Vậy x=7; y\(\in N\)
c) xy+3x-2y=11
=>xy+3x-2y-6=5
=>x(y+3)-2(y+3)=5
=>(y+3)(x-2)=5
Ta có: 5=5.1=-5.-1
Do đó ta có bảng:
y+3 | 1 | 5 | -1 | -5 |
x-2 | 5 | 1 | -5 | -1 |
y | -2 | 2 | -4 | -8 |
x | 7 | 3 | -3 | 1 |
Vì \(x,y\in N\)
Vậy x=3; y=2
Ta có : \(11.\left(x+6\right)=4x+143\)
\(\Leftrightarrow11x+66=4x+143\)
\(\Leftrightarrow11x-4x=143-66\)
\(\Leftrightarrow7x=77\)
\(\Leftrightarrow x=\frac{77}{7}=11\)
Vậy \(x=11\)
Bài làm :
Ta có :
\(11.\left(x+6\right)=4.x+143\)
\(\Leftrightarrow11.x+66=4.x+143\)
\(\Leftrightarrow11.x-4.x=143-66\)
\(\Leftrightarrow7.x=77\)
\(\Leftrightarrow x=11\)
Vậy x=11