Answer: rental cost for each movie $1.50
Rental cost for each video game $6.25
Explanation:
m = rental cost of each movie
g = rental cost of each game
Set up:
8m + 4g = 37
3m + 2g = 17
Modify for elimination:
3 (8m + 4g = 37) ———> 24m + 12g = 111
8 (3m + 2g = 17) ———> 24m + 16g = 136
Subtract:
24m + 16g = 136
- 24m - 12g = -111
——————————
4g = 25
Divide:
4g = 25
g = 25/4
g = 6.25
So each game is $6.25
Now plug in “g” to one of the original equations and solve for “m” to find the rental cost for each movie
3m + 2 (6.25) = 17 (multiply 2 & 6.25)
3m + 12.50 = 17 (subtract 12.50 from sides)
3m = 4.50 (divide both sides by 3)
m = 1.50
So each movie rental is $1.50
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm
The intersection between the complement of set A and the complement of set B is 7.
<h3>What is a Venn diagram?</h3>
A Venn diagram is a visual representation that shows mathematical sets as circular curves inside of a rectangle (known as the universal set).
From the Venn diagram, we are to find the intersection between the complement of set A and the complement of set B.
Therefore, the intersection between the two sets is the set of elements that exists in both of them. Therefore, we have:
Learn more about the Venn Diagram here:
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