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a) \(\left(\frac{3}{4}+x\right)\times\frac{7}{4}-5=\frac{7}{6}\)
\(\Leftrightarrow\left(\frac{3}{4}+x\right)\times\frac{7}{4}=\frac{37}{6}\)
\(\Leftrightarrow\frac{3}{4}+x=\frac{37}{6}:\frac{7}{4}=\frac{74}{21}\)
\(\Leftrightarrow x=\frac{74}{21}-\frac{3}{4}=\frac{233}{84}\)
Vậy ....
b) \(x\times12+13\times x+x:2+195=1995\)
\(\Leftrightarrow x\times12+x\times13+x\times0,5=1800\)
\(\Leftrightarrow x\times\left(12+13+0,5\right)=1800\)
\(\Leftrightarrow x\times25,5=1800\)
\(\Leftrightarrow x=\frac{1200}{17}\)
c) (x+1)+(x+4)+(x+7)+....+(x+28) = 156
<=> (x+x+x+...+x)+(1+4+7+...+28) = 156
<=> 10x + 145 = 156
<=> 10x = 11
<=> x = 1,1
Vậy ...
1) (x - 35) - 120 = 0
x - 35 = 120
x = 120 + 35
x = 155
2) 310 - (118 - x) = 217
118 - x = 310 - 217
118 - x = 93
x = 118 - 93
x = 25
3) 156 - (x + 61) = 82
x + 61 = 156 - 82
x + 61 = 74
x = 74 - 61
x = 13
4) 814 - (x - 305) = 712
x - 305 = 814 - 712
x - 305 = 102
x = 102 + 305 = 407
5) 100 - 7 - (x - 5) = 58
x - 5 = 93 - 58
x - 5 = 35
x = 35 + 5 = 40
6) 12(x - 1) : 3 = 43 + 23
4(x - 1) = 72
x - 1 = 18
x = 18 + 1 = 19
7) 24 + 5x = 75 : 73
24 + 5x = 49
5x = 25
x = 25 : 5 = 5
8) 5(x - 1) : 3 = 43 + 23
\(\dfrac{5}{3}\left(x-1\right)=72\)
x - 1 = \(\dfrac{216}{5}\)
x = 221/5
9) 5(x - 4)2 - 7 = 13
5(x - 4)2 = 20
(x - 4)2 = 4
\(\Rightarrow\left[{}\begin{matrix}x-4=2\\x-4=-2\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=6\\x=2\end{matrix}\right.\)
10) (x + 1) + (x + 2) + ... + (x + 30) = 795
=> (x + x + x + ... + x) + (1 + 2 + 3 +...+ 30) = 795 (1)
Đặt A = 1 + 2 + 3 +...+ 30
Số số hạng trong A là: (30 - 1) : 1 + 1 = 30 (số)
Tổng A bằng : (30 + 1).30 : 2 =465
Thay A = 465 vào (1) , ta được:
30x + 465 = 795
=> 30x =330
=> x =11
1: =>x-35=120
=>x=120+35=155
2: =>118-x=310-217=93
=>x=118-93=25
3: =>x+61=156-82=74
=>x=74-61=13
4: =>x-305=814-712=102
=>x=102+305=407
5: =>93-(x-5)=58
=>x-5=35
=>x=40
6: =>4(x-1)=64+8=72
=>x-1=18
=>x=19
7: =>5x+24=49
=>5x=25
=>x=5
8: =>5(x-1):3=4^3+2^3=64+8=72
=>5(x-1)=216
=>x-1=216/5
=>x=221/5
a) \(\frac{A}{7}=\frac{5}{2\times7}+\frac{4}{7\times11}+\frac{3}{11\times14}+\frac{1}{14\times15}+\frac{13}{15\times28}\)
\(\frac{A}{7}=\frac{7-2}{2\times7}+\frac{11-4}{7\times11}+\frac{14-11}{11\times14}+\frac{15-14}{14\times15}+\frac{28-15}{15\times28}\)
\(\frac{A}{7}=\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{15}+\frac{1}{15}-\frac{1}{28}=\frac{1}{2}-\frac{1}{28}=\frac{13}{28}\)
\(A=7.\frac{13}{28}=\frac{13}{4}\)
312 x 113 - 156 x 21 - 105 x 56
=35256 - 3276 - 5880
=31980 - 5880
=26100
a/ 1 ; 2 ; 3; 5 ; 8 ; 13 ; 21 ; 34
b/ 1 ; 2 ; 3 ; 6 ; 12 ; 24 ; 48 ; 96
c/ 1 ; 4 ; 9 ; 16 ; 25 ; 36 ; 49 ; 64
d/ 2 ; 12 ; 30 ; 56 ; 90 ; 132 ; 182
Nhớ k cho mình nhé! mình nhanh nhất
\(\frac{3}{2}-\frac{5}{6}+\frac{7}{12}-\frac{9}{20}+\frac{11}{30}-\frac{13}{42}+\frac{15}{56}-\frac{17}{72}+\frac{19}{90}\)
\(=\frac{1+2}{1.2}-\frac{2+3}{2.3}+\frac{3+4}{3.4}-\frac{4+5}{4.5}+\frac{5+6}{5.6}-\frac{6+7}{6.7}+\frac{7+8}{7.8}-\frac{8+9}{8.9}+\frac{9+10}{9.10}\)
\(=1+\frac{1}{2}-\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-...-\frac{1}{8}-\frac{1}{9}+\frac{1}{9}+\frac{1}{10}\)
\(=\frac{11}{10}\)
12 x 4 - X : 5 + 156 : 13 = 56
48 - X : 5 + 12 = 56
48 - X : 5 = 56 - 12
48 - X : 5 = 44
X : 5 = 48 - 44
X : 5 = 4
X = 4 x 5
X = 20
12*4-x:5+156:13=56
48-x:5+12=56
48-x:5=56-12
48-x:5=44
x:5=48-44
x:5=4
x=5*4
x=20