Answer:
81000 people went to Bonnaroo.
192000 people went to Lollapalooza.
Step-by-step explanation:
Given:
Total number of people attending festivals,
Number of people attending Lollapalooza is 30,000 more than twice the people attending Bonnaroo.
Unknown:
Number of people attending Lollapalooza and Bonnaroo.
Let the number of people attending Bonnaroo be .
Therefore, the number of people attending Lollapalooza is equal to
Evaluate:
Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,
Substitute and Solve:
Now, we have, .
Substitute 81000 for and solve for the number of people attending both the festivals. This gives,
Number of people attending Bonnaroo =
Number of people attending Lollapalooza =
Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.
Answer:
463 dollars
Step-by-step explanation:
46, 300 / 100= 463
hope this helps!
Answer:
1
Step-by-step explanation:
By gradient, if you mean the "slope" of the linear function, then you have to find two points of the graph and use the "rise over run strategy". Given two coordinates, (x1, y1) and (x2, y2) of a linear function in the form y=mx+b, the slope of the line is (y2-y1)/(x2-x1). This shows the amount of "rise", or the vertical change, and the amount of "run", which is the horizontal change. Rise/Run gives the steepness of the line. The slope can also be modeled by Δy/Δx, which is the change in y over the change in x
Plugging in the given points (0,5) and (-5,0):
(y2-y1)/(x2-x1)= (5-0)/(0-(-5)) = 5/5 = 1
Answer:
Part 1) The expression for the perimeter is or
Part 2) The perimeter when z = 15 ft. is
Step-by-step explanation:
Part 1)
we have
Find the roots of the quadratic equation
Equate the equation to zero
Complete the square
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
-----> root with multiplicity 2
so
The area is equal to
The length side of the square is
therefore
The perimeter is equal to
Part 2) Find the perimeter when z = 15 ft.
we have
substitute the value of z