1. Will you be met at the airport, Tom?

2. Was that report written by Aland?

3. Has the room been cleaned anymore yet?

4. Can English be spoken in the class?

5. What will be done by them by the end of the year?

6. Can't this dress be washed?

7. I wasn't told the truth.

8. Will their children be brought home by bus?

9. Why wasn't he helped by them?

10. The emails are opened by the secretary every day.

11. I am not allowed to take a seat by the window by the teacher.

12. Tom's mother was made worried about his absence.

13. A new school is being built in this town.

14. The report should be finished right now.

15. The matter will be discussed in the afternoon. ( Mình thay "shall" thành "will" vì "shall" chỉ dùng cho "I" và "we")

\(a,\frac{1}{3}+\frac{1}{6}+x=\frac{3}{4}\)                                  \(b,\frac{1}{2}+\frac{1}{3}-x=\frac{2}{3}\)                  \(c,\frac{2}{3}\cdot\frac{3}{4}\cdot x=\frac{2}{5}\)       

\(\left(\frac{1}{3}+\frac{1}{6}\right)+x=\frac{3}{4}\)                              \(\left(\frac{1}{2}+\frac{1}{3}\right)-x=\frac{2}{3}\)               \(\left(\frac{2}{3}\cdot\frac{3}{4}\right)\cdot x=\frac{2}{5}\)

\(\frac{1}{2}+x=\frac{3}{4}\)                                                \(\frac{5}{6}-x=\frac{2}{3}\)                                   \(\frac{1}{2}\cdot x=\frac{2}{5}\)

\(x=\frac{3}{4}-\frac{1}{2}\)                                                \(x=\frac{5}{6}-\frac{2}{3}\)                                    \(x=\frac{2}{5}:\frac{1}{2}\)

\(x=\frac{1}{4}\)                                                          \(x=\frac{1}{6}\)                                                    \(x=\frac{4}{5}\)

\(d,x:\left(\frac{1}{4}:\frac{1}{2}\right)=\frac{2}{3}\)     \(e,\frac{1}{3}:\frac{1}{2}:x=\frac{3}{4}\)

\(x:\frac{1}{2}=\frac{2}{3}\)                            \(\frac{1}{3}:\frac{1}{2}=\frac{3}{4}\cdot x\)

\(x=\frac{2}{3}\cdot\frac{1}{2}\)                   \(\frac{2}{3}=\frac{3}{4}\cdot x\)

\(x=\frac{1}{3}\)                              \(x=\frac{2}{3}:\frac{3}{4}\)

                                                     \(x=\frac{8}{9}\)

a) 1/3 + 1/6 +x = 3/4                                      b) 1/2 + 1/3 - x = 2/3

                                                                                  5/6  -  x = 2/3

                                                                                           x   =5/6 -2/3

                                                                                           x  =  1/6

           1/2+ x    =3/4

                   x    = 3/4 -1/2

                   x    =  1/4

1, We find playing table tennis very unteresting because we can meet and firends with interesting people .

2, My brother and I have the same hobby 

3, I love playing outboors in my garden to plant flowers and vegetables

4, My father s rides his bike in the park at the weekend

5,Tom and peter water acctivities and they go swimming , play water polo and sury tegether a lot 

6, My hobby is collepling books because I love reading whenever I have time

7,Why don t you go jogging beacause it can help you keep fit ?

1, We ......find..........playing table tennis very unteresting because we can meet and firends with interesting people .

2, My brother and I .......have.........the same hobby 

3, I love ....playing...........outboors in my garden to plant flowers and vegetables

4, My father s ....riding...............his bike in the park at the weekend

5,Tom and peter water .......activitives............and they go swimming , play water polo and sury tegether a lot 

6, My hobby is collepling ......comic..book.............because I love reading whenever I have time

7,Why don t you .......go.......jogging beacause it can help you keep fit ?

1/x+1/y = 1/5

=>(x+y)/xy = 1/5

=> 5x+5y = xy

=> 5x - xy + 5y = 0

=> x(5 - y) +5y = 0 

=> x(5 - y) +5y - 25 = -25

=> x(5 - y) - 5(5 - y) = -25

=> (x - 5)(5 - y) = -25

=> (x - 5)(y - 5) = 25

Ta có: \(VT-VP=\frac{\left(y-x\right)^2\left(xy-1\right)}{\left(1+x^2\right)\left(1+y^2\right)\left(1+xy\right)}\ge0\)(đúng với \(xy\ge1\))

Đẳng thức xảy ra khi a = b = 1

Dấu ở giữa là cộng chứ nhỉ??

Đặt \(y=\sqrt[3]{a+\frac{a+1}{3}\sqrt{\frac{8a-1}{3}}};z=\sqrt[3]{a-\frac{a+1}{3}\sqrt{\frac{8a-1}{3}}}\)

\(\Rightarrow\hept{\begin{cases}y^3+z^3=2a\\yz=\sqrt[3]{a^2-\frac{\left(a+1\right)^2\left(8a-1\right)}{27}}\\y+z=x\end{cases}=\sqrt[3]{\frac{27a^2-\left(8a^3+15a^2+6a-1\right)}{27}}=\sqrt[3]{\frac{\left(1-2a\right)^3}{27}}=\frac{1-2a}{3}}\)

Thay vào ta được:

\(x^3=\left(y+z\right)^3=y^3+z^3+3yz\left(y+z\right)\)\(=2a+3\frac{1-2a}{3}x=2a+\left(1-2a\right)x\)

\(\Leftrightarrow x^3-\left(1-2a\right)x-2a=0\)

\(\Leftrightarrow x^3-x+2ax-2a=0\)

\(\Leftrightarrow\left(x-1\right)\left(x^2+2a+x\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x=1\\x^2+2a+x=0\end{cases}}\)

Đến đây thì có lẽ là sẽ cm được \(x^2+2a+x>0\), mình chưa tìm ra cách cm.

KL : \(x=1\inℤ\)

Ta có: \(\frac{a}{b+c}=\frac{b}{a+c}=\frac{c}{a+b}\)

Áp dụng tính chất dãy tỉ số bằng nhau ta có:

\(\frac{a}{b+c}=\frac{b}{a+c}=\frac{c}{a+b}=\frac{a+b+c}{b+c+a+c+a+b}=\frac{a+b+c}{2\left(a+b+c\right)}=\frac{1}{2}\)

Suy ra:

 \(\frac{a}{b+c}=\frac{1}{2}\Rightarrow a=\frac{b+c}{2}=\frac{1}{2}\times\left(b+c\right)\)

\(\frac{b}{a+c}=\frac{1}{2}\Rightarrow b=\frac{a+c}{2}=\frac{1}{2}\times\left(a+c\right)\)

\(\frac{c}{a+b}=\frac{1}{2}\Rightarrow c=\frac{a+b}{2}=\frac{1}{2}\times\left(a+b\right)\)

Thay  \(a=\frac{1}{2}\times\left(b+c\right)\);  \(b=\frac{1}{2}\times\left(a+c\right)\); \(c=\frac{1}{2}\times\left(a+b\right)\) vào P ta được:

\(\frac{b+c}{\frac{1}{2}\times\left(b+c\right)}+\frac{c+a}{\frac{1}{2}\times\left(a+c\right)}+\frac{a+b}{\frac{1}{2}\times\left(a+b\right)}\)

\(=\frac{\text{ }1\text{ }}{\frac{1}{2}}+\frac{1}{\frac{1}{2}}+\frac{1}{\frac{1}{2}}\)

\(=2+2+2=6\)

Vậy giá trị của P  là 6

1. large/ a/ Huong/ has/ with/ decorations/ lot/ a/ beautiful/on/ room/the/ of/ walls.

Huong has a large room with a lot of beautiful decorations on the walls

2. is/ hard-working/ Sue/ student/ a/ and/reads/ books/ a/ lot/ she/ of/every month.

Sue is a hard - working student and she reads a lot of books every month

3. She/ the/ paripating/ is/ in/ sports/ of/ school/ next/ club/ semester./ the

She is paripating in the sports semester club of the next school 

( Câu 4 giống hệt câu 3)

5. Lam/ lives/ near/ so/ his/goes/ school/ school/walk/ he/ to/ by.

Lam lives near his school , so he goes to school by walk.