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Salsk061 [2.6K]
3 years ago
15

Sam has a total of 40 dvds, movies and tv shows. The number of movies is 4 less then 3 times the number of tv shows. Write and s

olove a system of equations to find the number of movies and tv shows.
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:Sam has 29 movies.

Sam has 11 TV shows.

Step-by-step explanation:

Let x represent the number of movies that Sam has.

Let y represent the number of TV shows that Sam has.

Sam has a total of 40 dvds, movies and tv shows. This means that

x + y = 40 - - - - - - - - - - -1

The number of movies is 4 less then 3 times the number of tv shows. This means that

x = 3y - 4 - - - - - - - - - - -2

Substituting equation 2 into equation 1, it becomes

3y - 4 + y = 40

4y - 4 = 40

4y = 40 + 4 = 44

y = 44/4 = 11

x = 3y - 4 = 3 × 11 - 4

x = 33 - 4

x = 29

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Answer:

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Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)  

the focus has x-coordinates so the focus is  lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

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The equation of ellipse formula

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

we know that a=\sqrt{18} and b=\sqrt{10}

<u>Final answer:</u>-

<u>The equation of ellipse centered at the origin</u>

<u />\frac{x^2}{18} +\frac{y^2}{10} =1<u />

                                   

8 0
3 years ago
Read 2 more answers
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