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Hatshy [7]
3 years ago
6

One month Sam rented 2 movies and 5 video games for a total of 35. The next month he rented 8 movies and 3 video games for a tot

al of 38. Find the rental cost for each movie and each video game.
Mathematics
2 answers:
velikii [3]3 years ago
5 0

Answer: For the first on its a total of $5 dollars for the second one its a total of $3.45 cents

So all in total $8.45

sergij07 [2.7K]3 years ago
4 0

Answer:

Movie: $2.5

Video game: $6

Step-by-step explanation:

Assume x and y.

Let the cost of a movie = x

Let the cost of a video game = y

1st month: 2 movies + 5 video games = 35

        —> 2x + 5y = 35

2nd month: 8 movies + 3 video games = 38

        —> 8x + 3y = 38

We now have 2 equations:

2x + 5y = 35

8x + 3y = 38

By solving the equation we get:

x = 5/2, and y = 6

In dollars: x = $2.5 and y = $6.00

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Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with
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Answer:

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6 0
3 years ago
20 POINTS!!!
notka56 [123]

\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------

(*)\\R_s=\sec\left(\dfrac{\pi}{6}-x\right)=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}=\dfrac{1}{\dfrac{\sqrt3\cos x+\sin x}{2}}\\\\=\dfrac{2}{\sqrt3\cos x+\sin x}=L_s

6 0
3 years ago
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