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otez555 [7]
3 years ago
14

One month bob rented 5 movies and 2 video games for a total of $26 . the next month he rented 3 movies and 8 video games for a t

otal of $53 . find the rental cost for each movie and each video game.
Mathematics
1 answer:
dezoksy [38]3 years ago
4 0
Let x be the number of movies rented 
Let y be the number of video games rented 

(5x+2y=26)4
- 3x+8y=53 

 20x+8y=104 
-3x+8y=53
-----------------
17x       =51 
x=51/17 
x=3 

5x+2y=26 
5(3)+2y=26 
2y=26-15 
y=11/2 
y=5.5 

Therefore, the movies cost $3 and the video games cost $5.5 

Hope I helped :)
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Bella bought 3 bags of popcorn for $8.25 and 2 sodas for $4.40 at the movies last week. Last month, Bella was at the movies with
diamong [38]

Answer:

bags of popcorn = 10%

sodas = 15.78%

overall increase was 12.5%

Step-by-step explanation:

We must calculate the unit price of each product, before and after.

Before:

bags of popcorn = 7.50 / 3 = 2.5

sodas = 3.80 / 2 = 1.9

Then:

bags of popcorn = 8.25 / 3 = 2.75

sodas = 4.40 / 2 = 2.2

Now, we calculate for each:

bags of popcorn = 2.75 / 2.5 = 1.1

which means that the increase was 10%

sodas = 2.2 / 1.9 = 1.1578

Which means that the increase was 15.78%

If we calculate the percentage of total increase it would be:

(2.75 + 2.2) / (2.5 + 1.9) = 1,125

Therefore the overall increase was 12.5%

5 0
3 years ago
What is 8,170 divided by 75 equal
Reptile [31]

108.93

hope this helps :)


4 0
3 years ago
Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?
Nesterboy [21]

Step-by-step explanation:

5 0
2 years ago
The Grade 8 students had a graduation dinner. They paid a flat rate of $125 for the use of the hall, plus $13 for each student w
anastassius [24]

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2 years ago
Select all the correct answers. If the measure of angle 0 is 5(pi)/4, which statements are true?
elixir [45]

Finding the equivalent angle of \theta, the correct statements are given as follows:

  • The Measure of the reference angle is 45.
  • \cos{\theta} = \frac{\sqrt{2}{2}}.
  • \tan{\theta} = 1
  • \sin{\theta} = \frac{\sqrt{2}{2}}.

<h3>What are equivalent angles?</h3>

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the given angle is as follows:

\theta = \frac{5\pi}{4}

It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:

\frac{5\pi}{4} - \pi = \frac{5\pi}{4} - \frac{4\pi}{4} = \frac{\pi}{4}

The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:

  • The Measure of the reference angle is 45.
  • \cos{\theta} = \frac{\sqrt{2}{2}}.
  • \tan{\theta} = 1
  • \sin{\theta} = \frac{\sqrt{2}{2}}.

More can be learned about equivalent angles at brainly.com/question/24787111

#SPJ1

8 0
1 year ago
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