Answer: It is consistent as the lines are intersecting lines and it has a unique solution
Step-by-step explanation:
Since we have given two systems of equation :
We need to check whether the system of equations is consistent or inconsistent.
As we know the formula for checking the consistency :
In the first equation, we have
similarly,
In the second equation, we have
So, According to the question, we have
Therfore , it is consistent as the lines are intersecting lines and it has a unique solution.
The number of tickets that should be purchased for the cost of both carnival to be equal is 10 tickets.
Assume the number of tickets to be purchased is x.
The expression for the total cost at Carnival M is:
= Entrance fee + (price of tickets x number of tickets)
= 5 + 0.50x
The expression for the total cost at Carnival P is:
= 7 + 0.30x
To find the number of tickers, equate both expressions:
5 + 0.50x = 7 + 0.30x
0.50x - 0.30x = 7 - 5
0.20x = 2
x = 2 / 0.20
= 10 tickets
10 tickets will need to be bought to both Carnivals for the cost to be the same.
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Answer:
the answer would be b)
Step-by-step explanation:
Answer:
a=7.14yd
Step-by-step explanation:
process same as in above question
Your answer should be, BTU / cubic foot = 650 (4) (4) / 5000 = 2.08 BTU / ft^3, Hope this helps you! :D
