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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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stich3 [128]

Answer:

x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Step-by-step explanation:

Given;

x² - 2x - 1 = 0

Solve by completing the square method;

⇒ take the constant to the right hand side of the equation.

x² - 2x = 1

⇒ take half of coefficient of x = ¹/₂ x -2 = -1

⇒ square half of coefficient of x and add it to the both sides of the equation

x^2 +  (-1)^2 = 1 + (-1)^2

(x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\

⇒ take the square root of both sides;

x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Therefore, option B is the right solution.

3 0
2 years ago
F(x)=x2-10x+16 how do I solve that ​
Vsevolod [243]

Step-by-step explanation:

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7 0
3 years ago
PLEASE HELP MEEE
antoniya [11.8K]

Answer:

(6a-4)°=(2a+68)°

6a-2a=68+4

4a=72

a=72/4

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6 0
2 years ago
Read 2 more answers
Domino’s Pizza charges $5.99 per medium pizza and a $4 delivery fee. Which function best represents the total price depending on
scZoUnD [109]

Answer:

It should be 5.99x+4, where x is the number of pizzas ordered.

8 0
2 years ago
The radius of a circle is 3.9 in. Find the circumference to the nearest tenth.
masha68 [24]

Answer:

C = 24.5 in

Step-by-step explanation:

Formula to find the circumference of a circle is :

C = 2πr

Here,

r ⇒ radius

So let us solve now.

C = 2πr

C = 2 × π × r

C = 2 × 3.14 × 3.9

C = 24.492 in

So, they've asked for nearest 10th.

Therefore, the answer will be 24.5 in.

Hope this helps you :-)

Let me know if you have any other questions :-)

8 0
2 years ago
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