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seraphim [82]
2 years ago
12

One month Justin rented 3 movies and 5 video games for a total of $39. The next month he rented 9 movies and 7 video games for a

total of $63. Find the rental cost for each movie and each video game.​
Mathematics
1 answer:
Leviafan [203]2 years ago
5 0

Let m be the rental cost for movies.

Let v be the rental cost for video games.

We have the following system of linear equations:

3m + 5v= 38

6m + 2v = 26

Multiply the first equation by 2

6m + 10v = 76

6m + 2v = 26

Subtract the both equations.

8v = 50

Divide both sides by 50.

v = 6.25

Plug this value into any of the two equations to solve for m.

You get m=2.25

The rental cost for a movie is

<h2>$2.25</h2>

The rental cost for a video game is

<h2>$6.25 </h2>

Have an awesome day! :)

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Step-by-step explanation:

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Parentheses first

The exponent in the parentheses

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Then multiply

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In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
lesya692 [45]

Answer:

9.6 square inches.

Step-by-step explanation:

We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.

First, find the scale factor <em>k</em> from ΔBAC to ΔDEF:

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Solve for the scale factor <em>k: </em>

<em />\displaystyle k = \frac{4}{5}<em />

<em />

Recall that to scale areas, we square the scale factor.

In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.

Hence, the area of ΔEDF is:

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In conclusion, the area of ΔEDF is 9.6 square inches.

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