Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
Y-y1=m(x-x1)
find slope
(y2-y1)/(x2-x1)
so
(-4,-1)
(3,-3)
slope=(-3-(-1))/(3-(-4))=(-3+1)/(3+4)=-2/7
y-(-1)=-2/7(x-(-4))
y+1=-2/7(x+4)
Answer:1.8
Step-by-step explanation:
Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
Cone volume:

r is the radius and h is the inches.
Skinny-size cone:
Radius is r, height h. So

Sharing size:
Radius is now 3r. So

How many times more popcorn?

The sharing cone holds about 9 times more popcorn than the skinny cone.
The value of x would be 6.5 because if you add 1 to 6.5 you get 7.5 and 7.5 multiplied by 4 is 30