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Gọi hai số cần tìm là a,b

Hai số tỉ lệ với 3 và 5 nên \(\dfrac{a}{3}=\dfrac{b}{5}\)

Tổng hai số là 32 nên a+b=32

Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:

\(\dfrac{a}{3}=\dfrac{b}{5}=\dfrac{a+b}{3+5}=\dfrac{32}{8}=4\)

=>\(a=4\cdot3=12;b=4\cdot5=20\)

21 tháng 2 2024

Đây là dạng toán nâng cao chuyên đề tìm nghiệm nguyên. Hôm nauy Olm.vn sẽ hướng dẫn em giải dạng này bằng phương pháp tìm điều kiện để phân số là một số nguyên.

     \(x\) + 2y = 3\(xy\) + 3

      \(x\) - 3\(xy\) = 3 - 2y

      \(x\).(1 - 3y) =  3 - 2y

      \(x\)              = \(\dfrac{3-2y}{1-3y}\) 

      \(x\) \(\in\) Z ⇔ 3 - 2y ⋮ 1 - 3y

              3.(3 - 2y) ⋮ 1 - 3y

               9 - 6y     ⋮ 1 - 3y

         7 + 2 - 6y    ⋮ 1 - 3y

    7 + 2.(1 - 3y)   ⋮ 1 - 3y

                        7 ⋮ 1 - 3y

  1 - 3y \(\in\) Ư(7) = {-7; -1; 1; 7}

   Lập bảng ta có:

1 - 3y -7 -1 1 7
y \(\dfrac{8}{3}\) \(\dfrac{2}{3}\) 0 -2
\(x=\) \(\dfrac{3-2y}{1-3y}\)     3 1
\(x;y\) \(\in\) Z Loại Loại    

Kết luận: Theo bảng trên ta có các cặp \(x;y\) nguyên thỏa mãn đề bài là:

(\(x;y\)) = (3; 0); (1; -2)

 

      

       

       

21 tháng 2 2024

8 CÔNG NHÂN HOÀN THÀNH CÔNG VIỆC TRONG SỐ GIỜ LÀ:

8 X16 = 128 GIỜ

Đ/S 128 GIỜ

EM LỚP 4 MÀ SAO ĐỀ DỄ MÀ LỚP 7 KO GIẢI ĐC NHỈ???

 

21 tháng 2 2024

@Tô Nguyễn Minh Anh bài này em giải sai nhé!

21 tháng 2 2024

 \(\dfrac{x}{3}\) = \(\dfrac{y}{4}\) và \(xy\) = 12

 \(\dfrac{x}{3}\).\(\dfrac{x}{3}\) = \(\dfrac{x}{3}\).\(\dfrac{y}{4}\) = \(\dfrac{12}{12}\) = 1

\(\dfrac{x^2}{9}=1\)

\(x^2\) = 9

\(x\) = -3; 3 

Nếu \(x\)= - 3 ⇒ y = 12 : -3 = -4

Nếu \(x\) = 3 ⇒ y = 12 : 3 = 4

Vậy (\(x;y\)) = (-3; -4); (3; 4)

 

Sửa đề: đường trung tuyến  CM

Xét ΔABC có BN,CM là các đường trung tuyến

BN cắt CM tại G

Do đó: G là trọng tâm của ΔABC

=>G thuộc đường trung tuyến xuất phát từ đỉnh A

Read the passage and choose the best answer for the questions. (1) Movies, also known as films, have several genres, but they are made in a similar way. Basically, a screenwriter writes a script, which is the story of the movie with words that the actors and actresses will say. Actors, actresses and directors read scripts to find out what to say and what to do. The actors and actresses memorize the words and learn the actions from the script that they will say and do in the movie. The director...
Đọc tiếp

Read the passage and choose the best answer for the questions. (1) Movies, also known as films, have several genres, but they are made in a similar way. Basically, a screenwriter writes a script, which is the story of the movie with words that the actors and actresses will say. Actors, actresses and directors read scripts to find out what to say and what to do. The actors and actresses memorize the words and learn the actions from the script that they will say and do in the movie. The director tells the actors and actresses what to do and a cameraman takes motion pictures of them. When filming has finished, an editor puts the moving pictures together. Audio engineers record music and singing and join it with the moving pictures. When the movie is done, many copies of the movie are made and sent to cinemas. An electric machine called a projector shines a very bright light through the movie, and people sitting in a dark room see it on a big screen. After movies are shown on movie screens for a period of time, movies are shown on television or on DVD so that people can watch the movies at home. 1. What is the passage mainly about? A. Film genres B. Movie making C. Operation of a movie theatre D. Members of a film crew 2. The word "them in the first paragraph refers to __________________. A. actors and actresses B. directors C. actors, actresses and directors D. screenwriter, actors and actresses 3. We can learn from the first paragraph that __________________. A. the actors and actresses don't need to memories the scripts B. the screenwriter is the most important person C. the cameraman tells the actors and actresses what to do D. the director reads the script, but he doesnt need to perform the acting 4. When filming has finished, ______________________________. A. an editor joins music and singing with the moving pictures B. an audio engineer puts the moving pictures together C. audio engineers put the moving pictures together and an editor records music and singing D. an editor puts the moving pictures together, and then audio engineers record music and singing and join it with the moving pictures 5. People can watch a movie at home __________________. A. before it is shown at the cinema B. at the same time as it is shown at the cinema C. after it is shown at the cinema D. when the movie is copied and sent to cinemas.

3
20 tháng 2 2024

1. What is the passage mainly about?

A. Film genres B. Movie making C. Operation of a movie theatre D. Members of a film crew

2. The word "them in the first paragraph refers to __________________.

A. actors and actresses B. directors C. actors, actresses and directors D. screenwriter, actors and actresses

3. We can learn from the first paragraph that __________________.

A. the actors and actresses don't need to memories the scripts

B. the screenwriter is the most important person

C. the cameraman tells the actors and actresses what to do

D. the director reads the script, but he doesnt need to perform the acting

4. When filming has finished, ______________________________.

A. an editor joins music and singing with the moving pictures

B. an audio engineer puts the moving pictures together

C. audio engineers put the moving pictures together and an editor records music and singing

D. an editor puts the moving pictures together, and then audio engineers record music and singing and join it with the moving pictures

5. People can watch a movie at home __________________.

A. before it is shown at the cinema

B. at the same time as it is shown at the cinema

C. after it is shown at the cinema

D. when the movie is copied and sent to cinemas.

20 tháng 2 2024

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