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katovenus [111]
3 years ago
8

One week Jenna rented 4 DVDs and 2 Video Games for $18, the next week she rented 2 DVDs and 1 video game for 9$. Find the rental

costs for each video game and DVD. Explain you answer.
Mathematics
1 answer:
tangare [24]3 years ago
4 0
To do this problem you have to create two equations. one would be 18=4x+3y
an the other would be 9=2x+y. in this eqaution X is the number of DVDs and Y is the number of Video games. Then you solve for Y in the second equation and you get y=-2x+9. After that you then input this equation in for the other equation and you will have 18=4x+3(-2x+9). you solve for X in this problem and then you take the answer of x and put it in for x in the other equation. 
so, 18=4x-6x+27
subtract 27 and add the 4x and -6x
-9=-2x
x=4.5
after this you put it in the other equation
9=-2(4.5)+y
multiply the -2 and 4.5
9=-9+y
add the 9
y=0
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Ilia_Sergeevich [38]
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3 years ago
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<u>To solve this problem, we must consider all the trigonometric equations</u>:

 ⇒ (<em>see image below)</em>

<u>Let's examine the diagram</u>:

  • the side adjacent to ∠A ⇒ AC ⇒ 35 meters
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<u>Thus we can use:</u>

 cos(A)=\frac{35}{53} \\A= cos^{-1}(\frac{35}{53})\\ A = 48.67

<u>Answer: 49 degrees</u> <em>(as rounded)</em>

Hope that helps!

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