a) n x 17 +4 x n - n x 14 =77. b)n x 68 - 24 x n - n x 34 =100.
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\(n\times68-24\times n-n\times34=100\)
\(n\times\left(68-24-34\right)=100\)
\(n\times10=100\)
\(n=100:10\)
\(n=10\)
Vậy \(n=10\)
n x 68 - 24 x n - n x 34 = 100
n x (68-24-34) = 100
n x 10 = 100
n = 100:10
n = 10
Vậy n=10
Ta có: n x 17 + 4 x n - n x 14 = 77
=> n x (17 + 4 - 14 ) = 77
=> n x 7 = 77
=> n = 77 : 7
=> n = 11
Vậy n = 11
\(\frac{144}{17}x\frac{34}{12}=24\)
\(\frac{169}{34}:\frac{13}{68}=26\)
N is: 25
Bài 1: Tính
a) Ta có: \(\left(-25\right)\cdot68+\left(-34\right)\cdot\left(-250\right)\)
\(=-25\cdot68+\left(-340\right)\cdot\left(-25\right)\)
\(=-25\cdot\left(68-340\right)\)
\(=-25\cdot\left(-272\right)\)
\(=6800\)
b) Ta có: \(1999+\left(-2000\right)+2001+\left(-2002\right)\)
\(=1999-2000+2001-2002\)
\(=-1-1=-2\)
c) Ta có: \(515+\left[72+\left(-515\right)+\left(-32\right)\right]\)
\(=515+72-515-32\)
\(=40\)
d) Ta có: \(\left(2736-75\right)-2736+175\)
\(=2736-75-2736+175\)
\(=100\)
e) Ta có: \(-2020-\left(157-2020\right)-\left(-257\right)\)
\(=-2020-157+2020+257\)
\(=100\)
Bài 2: Tìm x
a) Ta có: \(x-\left|-2\right|=\left|-18\right|\)
\(\Leftrightarrow x-2=18\)
hay x=20
Vậy: x=20
b) Ta có: \(2x-\left|+14\right|=\left|-14\right|\)
\(\Leftrightarrow2x-14=14\)
\(\Leftrightarrow2x=28\)
hay x=14
Vậy: x=14
c) Ta có: \(\left|x+4\right|+5=20-\left(-12-7\right)\)
\(\Leftrightarrow\left|x+4\right|+5=20+12+7\)
\(\Leftrightarrow\left|x+4\right|=39-5=34\)
\(\Leftrightarrow\left[{}\begin{matrix}x+4=34\\x+4=-34\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=30\\x=-38\end{matrix}\right.\)
Vậy: x∈{30;-38}
d) Ta có: \(15-\left|2-x\right|=\left(-2\right)^2\)
\(\Leftrightarrow15-\left|2-x\right|=4\)
\(\Leftrightarrow\left|2-x\right|=11\)
\(\Leftrightarrow\left[{}\begin{matrix}2-x=11\\2-x=-11\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-9\\x=13\end{matrix}\right.\)
Vậy: x∈{-9;13}
e) Ta có: \(\left|15-x\right|+\left|-25\right|=\left|-55\right|\)
\(\Leftrightarrow\left|15-x\right|+25=55\)
\(\Leftrightarrow\left|15-x\right|=30\)
\(\Leftrightarrow\left[{}\begin{matrix}15-x=30\\15-x=-30\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-15\\x=45\end{matrix}\right.\)
Vậy: x∈{-15;45}
g) Ta có: \(\left|17-\left(-4\right)\right|+\left|-24-\left(-5\right)\right|=\left|-x+3\right|\)
\(\Leftrightarrow\left|17+4\right|+\left|-24+5\right|=\left|3-x\right|\)
\(\Leftrightarrow\left|3-x\right|=40\)
\(\Leftrightarrow\left[{}\begin{matrix}3-x=40\\3-x=-40\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-37\\x=43\end{matrix}\right.\)
Vậy: x∈{-37;43}
a)\(\left\{18;19;...;24\right\}\)
b)\(\left\{15;16;17;...20\right\}\)
c)\(\left\{90;91;92;...99\right\}\)
d)\(\left\{0;2;4;6;8\right\}\)
4) Ta có: \(x\) ⋮ 13 vậy \(x\in B\left(13\right)\)
\(B\left(13\right)=\left\{0;13;26;39;52;65;78;91\right\}\)
Mà: \(20< x< 70\Rightarrow x\in\left\{26;39;52;65\right\}\)
5)
a) Ta có: \(\text{Ư}\left(32\right)=\left\{1;2;4;8;16;32\right\}\)
Vậy ước lớn hơn 4 và nhỏ hơn 17 của 32 là 8;16
b) Bạn viết lại đề
c) Ta có: x ⋮ 6 và 30 ⋮ x
Vậy x thuộc bội của 6 và ước của 30
Mà: \(Ư\left(30\right)=\left\{1;2;3;5;6;10;15;30\right\}\)
\(B\left(6\right)=\left\{0;6;12;18;24;30;36;42;...\right\}\)
\(\Rightarrow x\in\left\{6;30\right\}\)
a) Ta có: 10 < x < 99
=> x \(\in\){11; 12; 13; 14; .....; 98}
=> A = {11; 12; 13; 14; ...; 98}
b) Ta có : x \(⋮\)4 => x \(\in\)B(4) = {0; 4; 8; 12; 16; ....;96}
Do 0 < x < 100 => x \(\in\){4; 8; 12; 16; ....; 96}
=> B = {4; 8; 12; 16; ...; 96}
c) Ta có: x + 5 = 10 => x = 10 - 5 = 5
=> C = {5}
d) Ta có: 2x + 5 = 17
=> 2x = 17 - 5
=> 2x = 12
=> x = 12 : 2 = 6
=> D = {6}
a) x \(\in\varnothing\)
b) \(x\in\left\{1;2;3;4;5;6;7;8;9;10\right\}\)
c) \(x\in\left\{45;46;47;48;49;50\right\}\)
a) Có: n x 17 + 4 x n - n x 14 = 77
n x ( 17 + 4 - 14 ) = 77
n x 7 = 77
n = 77 : 7
n = 11
b) Có: n x 68 - 24 x n - n x 34 = 100
n x ( 68 - 24 - 34 ) = 100
n x 10 = 100
n = 100 : 10
n = 10