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a, 35 ⋮ (x+3) => (x+3) ∈ Ư(35) = {1;5;7;35} => x ∈ {2;4;32}
b, (x+7) ⋮ 25 và x < 100
Vì (x+7) ⋮ 25 => x+7 ∈ B(25) = {0;25;50;75;...}
Mà x < 100 => x+7 ∈ {0;25;50;75}
=> x ∈ {18;43;68}
c, (x+13) ⋮ (x+1)
Ta có: x+13 = x+1+12
Vì (x+1) ⋮ (x+1) nên để (x+13) ⋮ (x+1) thì 12 ⋮ (x+1)
=> (x+1) ∈ Ư(12) = {1;2;3;4;6;12} => x ∈ {0;1;2;3;5;11}
d, 91 ⋮ x; 26 ⋮ x và 10 < x < 30
Vì 91 ⋮ x; 26 ⋮ x => x ∈ ƯC(26;91)
Ta có: 26 = 2.13; 91 = 7.13
=> ƯCLN(26;91) = 13
=> x ∈ Ư(13) = {1;13}
Mà 10 < x < 30 => x = 13
e, (x+2) ⋮ 10, (x+2) ⋮ 15, (x+2) ⋮ 25 và x < 200
Vì (x+2) ⋮ 10, (x+2) ⋮ 15, (x+2) ⋮ 25 nên (x+2) ∈ BC(10;15;25)
Ta có: 10 = 2.5; 15 = 3.5; 20 = 2 2 . 5
=> BCNN(10;15;20) = 2 2 . 3 . 5 = 60
=> (x+2) ∈ B(60) = {0;60;120;180;...}
Mà x < 200 => x ∈ {58;118;178}
\(\)\(x×\frac{2}{5}=\frac{1}{7}+\frac{1}{91}+\frac{1}{247}+\frac{1}{475}\)
\(x×\frac{2}{5}=\frac{4}{25}\)
\(x=\frac{4}{25}:\frac{2}{5}\)
\(x=\frac{2}{5}\)
vậy \(x=\frac{2}{5}\)
1) 42/35 - [ 33/14 . 21/22 - ( 54/25 : 27/25 - 7/10 )]
= 42/35 - ( 9/4-13/10)
=42/35-19/20
=1/4
2) a) 5/21 . x/34 = 35/102
x/34=35/102 : 5/21
x/34=49/34
=> x=34
Vậy x=34
b) 15/x . 21/13 = 45/91
15/x=45/91 : 21/13
15/x=15/49
=> x=49
Vậy x=49
a/ \(x-\dfrac{3}{7}=\dfrac{2}{5}\cdot\dfrac{1}{4}\)
\(x-\dfrac{3}{7}=\dfrac{1}{10}\)
\(x=\dfrac{1}{10}+\dfrac{3}{7}=\dfrac{37}{70}\)
Vậy....
b/ \(x+\dfrac{4}{5}=-\dfrac{5}{12}\cdot\dfrac{3}{25}\)
\(x+\dfrac{4}{5}=-\dfrac{1}{20}\)
\(x=-\dfrac{1}{20}-\dfrac{4}{5}=-\dfrac{17}{20}\)
Vậy....
c/ \(\dfrac{x}{182}=-\dfrac{6}{12}\cdot\dfrac{35}{91}\)
\(\dfrac{x}{182}=-\dfrac{5}{26}\)
\(=>x\cdot26=-5\cdot182\)
\(26x=-910\)
\(x=-910:26=-35\)
Vậy....
a) Ta có: \(x-\dfrac{3}{7}=\dfrac{2}{5}\cdot\dfrac{1}{4}\)
\(\Leftrightarrow x-\dfrac{3}{7}=\dfrac{1}{10}\)
\(\Leftrightarrow x=\dfrac{1}{10}+\dfrac{3}{7}=\dfrac{7}{70}+\dfrac{30}{70}\)
hay \(x=\dfrac{37}{70}\)
Vậy: \(x=\dfrac{37}{70}\)
Giải biểu thức sau:
(1/7+1/91+1/24+1/475).25/24.x+30%=1/2
(1/6+1/66+1/176+1/336+1/546).26/25.x+30%=1/2
Bài 2.Tínhnhẩm:
51 x 11 = 561 | 59 x 11 = 649 |
91 x 11 = 1001 | 45 x 11 =495 |
88 x 11 = 968 | 89 x 11 =979 |
99 x 11 = 1089 | 94 x 11 = 1034 |
Đề bài : \(\dfrac{97}{20}\times\left(\dfrac{25}{8}-\dfrac{221}{200}\right)< x< \dfrac{91}{10}\times\left(\dfrac{137}{20}+\dfrac{11}{4}\right)\)
\(\dfrac{97}{20}\times\left(\dfrac{25}{8}-\dfrac{221}{200}\right)=\dfrac{97}{20}\times\dfrac{101}{50}=\dfrac{9797}{1000}\)
\(\dfrac{91}{10}\times\left(\dfrac{137}{20}+\dfrac{11}{4}\right)=\dfrac{91}{10}\times\dfrac{48}{5}=\dfrac{2184}{25}=\dfrac{2184\times40}{25\times40}=\dfrac{87360}{1000}\)
\(\Rightarrow\dfrac{9797}{1000}< x< \dfrac{87360}{1000}\)
Vậy \(x\in\left(\dfrac{9797}{1000};\dfrac{87360}{1000}\right)\)
x-25=91+7
x-25=98
x=98+25
x=123
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