\(\left\{10^2-\left[3^2\times5+2^3\times\left(4+2^{12}:2^{11}\right)\right]\right\}\times2\)

\(=\left\{100-\left[9\times5+8\times\left(4+2\right)\right]\right\}\times2\)

\(=\left\{100-\left[9\times5+8\times6\right]\right\}\times2\)

\(=\left\{100-93\right\}\times2\)

\(=7\times2\)

\(=14\)

a) \(30+x=120:5+27\)

\(30+x=24+27\)

\(30+x=51\)

\(x=51-30\)

\(x=21\)

_____

b) \(40-3\times x=13\)

\(3\times x=40-13\)

\(3\times x=27\)

\(x=27:3\)

\(x=9\)

______

c) \(2\times x-8=16\)

\(2\times x=16+8\)

\(2\times x=24\)

\(x=24:2\)

\(x=12\)

______

d) \(\dfrac{1}{2}\times x-\dfrac{1}{3}=\dfrac{1}{4}\)

\(\dfrac{1}{2}\times x=\dfrac{1}{4}+\dfrac{1}{3}\)

\(\dfrac{1}{2}\times x=\dfrac{7}{12}\)

\(x=\dfrac{7}{12}:\dfrac{1}{2}=\dfrac{7}{12}\times2\)

\(x=\dfrac{7}{6}\)

Đây không phải nơi để bạn nói xấu về người khác, nếu bạn nói họ vậy thì bạn nên xem lại mình đi. _{không nhận gạch đá nhé}

\(x+5⋮x+1\)

Ta có: \(\left(x+1\right)+4⋮x+1\)

\(\Rightarrow4⋮x+1\)

khi \(x+1\inƯ\left(4\right)=\left\{\pm1;\pm2;\pm4\right\}\)

Ta có bảng sau:

Vậy x +4 \(⋮\) x+1 khi x ϵ \(\left\{-2;0;-3;1;-5;3\right\}\)

\(\dfrac{5}{7}:x+1=\dfrac{-15}{30}\)

\(\dfrac{5}{7}:x=\dfrac{-15}{30}-1\)

\(\dfrac{5}{7}:x=\dfrac{-45}{30}\)

\(x=\dfrac{5}{7}:\dfrac{-45}{30}\)

\(x=\dfrac{-10}{21}\)

/s/ : lights, desks, clocks, lamps

/iz/ : garages, fridges, watches, vases

/z/ : cars, pictures, sofas, tables, fans, computers, pillows

1. \(x-8+32=68\)

\(x-8=68-32\)

\(x-8=36\)

\(x=36+8\)

\(x=44\)

_____

2. \(x+8+32=68\)

\(x+8=68-32\)

\(x+8=36\)

\(x=36-8\)

\(x=28\)

_____

3. \(98-x+34=43\)

\(98-x=43-34\)

\(98-x=9\)

\(x=98-9\)

\(x=89\)

_____

4. \(98+x-34=43\)

\(98+x=43+34\)

\(98+x=77\)

\(x=77-98\)

\(x=-21\)

_____

5. \(x:5:4=800\)

\(x:5=800.4\)

\(x:5=3200\)

\(x=3200.5\)

\(x=16000\)

_____

6. \(18+x=384:8\)

\(18+x=48\)

\(x=48-18\)

\(x=30\)

_____

7. \(\left(84,6-2\times x\right):3,02=5,1\)

\(84,6-2.x=5,1.3,02\)

\(84,6-2.x=15,402\)

\(2.x=84,6-15,402\)

\(2.x=69,198\)

\(x=69,198:2\)

\(x=34,599\)

_____

8. \(x\times5=120:6\)

\(x.5=20\)

\(x=20:5\)

\(x=4\)

_____

9. \(\left(15\times24-x\right):0,25=100:0,25\)

\(\left(15.24-x\right):0,25=400\)

\(15.24-x=400.0,25\)

\(15.24-x=100\)

\(360-x=100\)

\(x=360-100\)

\(x=260\)

Sửa câu a

a)Ta có:

\(A=3+3^2+3^3+...+3^{99}\)

 \(A=\left(3+3^2+3^3\right)+...+\left(3^{97}+3^{98}+3^{99}\right)\) 

\(A=\left(3+3^2+3^3\right)+...+3^{96}.\left(3+3^2+3^3\right)\)

\(A=39+...+3^{96}.39\)

\(A=39.\left(1+...+3^{96}\right)\)

Vì 39 \(⋮\) 13 nên 39 . ( 1 + ... + 3⁹⁶ ) \(⋮\) 13

Vậy A \(⋮\) 13

_________

b)Ta có:

 \(B=5+5^2+5^3+...+5^{50}\)

\(B=\left(5+5^2\right)+\left(5^3+5^4\right)+...+\left(5^{49}+5^{50}\right)\)

\(B=\left(5+5^2\right)+5^2.\left(5+5^2\right)+...+5^{48}.\left(5+5^2\right)\)

\(B=30+5^2.30+...+5^{48}.30\)

\(B=30.\left(1+5^2+...+5^{48}\right)\)

Vì 30 \(⋮\) 6 nên 30. ( 1 + 5² + ... + 5⁴⁸ ) \(⋮\) 6

Vậy B \(⋮\) 6

\(34-2:\left(\dfrac{3}{5}-\dfrac{1}{2}\right)\)

\(=34-2:\left(\dfrac{6}{10}-\dfrac{5}{10}\right)\)

\(=34-2:\dfrac{1}{10}\)

\(=34-2\times10\)

\(=34-20\)

\(=14\)