The answer is: B
Hope this helped!
Answer:
x = 1/5, y = 6
Step-by-step explanation:
5x + y = 7
y = 7 - 5x
Set equations equal to each other to eliminate y
7 - 5x = 20x + 2
7 = 25x + 2
5 = 25x
x = 1/5
y = 7 - 5(1/5)
y = 7 - 1
y = 6
Answer:
<h3>
The width (side perpedicular to the barn):
<u>x = 8 m</u></h3><h3> The lenght (side parallel to the barn):
<u>y = 16 m</u> </h3>
Step-by-step explanation:
x - the width of the barn
She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:
y = 32 - 2x
Area of the fencing: A = x•y
A(x) = x•(32 - 2x)
A(x) = -2x² + 32x ← quadratic function
The maximum value of quadratic function occurs at: 
a = -2, b = 32

32-2x = 32 - 2•8 = 16
Answer:
102 tickets
Step-by-step explanation:
Let's say the total number of tickets sold is n.
7n = 2142
n = 2142 ÷ 7
n = 306
They sold 306 tickets in total.
We want to know how much they sold per night. We know they sold the same number of tickets each night for three nights.
306 ÷ 3 = 102
Therefore, they sold 102 tickets each night.
I hope this helps :)
For a 30 sided regular polygon, We can divide the polygon (30 sides) into 30 inscribed triangles with central vertex angles of =
.
This central vertex angle of <u>12 degrees</u> is the degree of rotation for a 30 sided polygon.
In other words, the 30 sided polygon has <u>12 degree</u> rotational symmetry about the center.