The circle's radius is 1 yard. You take half of the diameter to get this value.
Answer:
Popcorn cost $1 each
Drinks cost $5.25 each.
Step-by-step explanation:
Let the price of each popcorn be X
And the price of the same drink be y
Statement one translates to;
8x + 5y = 34.25-----------------------------(1)
Statement for Elijah translate to;
2x + 8y = 44-----------------(2)
x = 22- 4y [ dividing through by 2 and making X the subject formula]----------(3)
Substitute (3) in (1); we have :
8 ( 22-4y) + 5y = 34.25
176 -32y + 5y = 34.25
176-34.25 = 32y-5y
141.75= 27y
y= 141.75/ 27 =5.25
From, (3)
x= 22- 4(5.25)= 22-21 =1
Start with the bottom equation and rearrange it so that it's a "y =" equation like so:
0 = 2x + 1 - y ->
y = 2x + 1
now since you know "y" you may substitute that equation 2x + 1 into "y" of the first given equation to be:
x^2 = (2x + 1) - 7 + 5x
then simplify
x^2 = 7x - 6 (I just put together like terms here to simplify the equation)
then you can make it to be: x^2 - 7x + 6 = 0
and there's your new and nice equation. now just solve for "x" using the quadratic formula or any other formula that you know
hope this helps