Answer:
342.
Step-by-step explanation:
Let x represent the number of adults and y represent the number of senior citizens.
We have been given that on a recent weekend evening 514 people paid for the admission. We can represent this information in an equation as:
We have been given that the Family Fine Arts Center charges $20 per adult and $13 per senior citizen for its performances.
The cost of x adult tickets would be 
and cost of y senior citizen tickets would be 
.
We are also told that total receipts were $7886 on a recent weekend evening. We can represent this information in an equation as:
From equation (1), we will get:
We can represent this information in an equation as:
Substitute this value in equation (2) as:
Therefore, 342 senior citizens paid for the art center.
Answer: The second one, “A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps 8 times as far as the rabbit
1. Yes
2. No
3. 46.6 (recurring)
5. 22'
Sorry this is all I can do. Hope this helps :)
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.
One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:
x^2 + 6x + 8 = x + 4
We can then combine like terms, or move everything to one side. So we get:
x^2 + 5x + 4 = 0.
Then we can use the quadratic formula to solve for x.
x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)
This simplifies into:
(-5 +/- 3)/2
Finally we add and subtract:
(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4
And our solution is x = -1, x = -4
Answer:
B. 0.69
Step-by-step explanation:
Law of Cosines: cos A = (b² + c² - a²) / 2bc
cosθ = (7² + 11² - 8²) / 2*7*11 = 106/154 = 0.688 ≈ 0.69
