Answer:
1 cookie = $1.25 1 cake = $15
Step-by-step explanation:
set up a system of equations:
let x = 1 cookie
let y = 1 cake
3x + 5y = 78.75
8x + 2y = 40
I multiplied the first equation by 2 to get: 6x + 10y = 157.50
I multiplied the second equation by -5 to get: -40x - 10y = -200.00
If you add both equations, the y-terms will be eliminated
-34x = -42.50
x = 1.25
Plug in 1.25 into equation to find value of y: 8(1.25) + 2y = 40
10 + 2y = 40
2y = 30
y = 15
The answer in slope intercept form is: y = -3/5x + 4
Answer:
10.) y = -5x + 7
12.) y = 3/2x - 8
Step-by-step explanation: Since you have to create a new line that us parallel, the slopes will be equivalent. So the mx value will not change. Now we can plug in the coordinates to find the value of b.
10.)
2 = -5(1) + b.
2 = -5 +b
b = 7
therefore...
y = -5x + 7
12.)
2(-5) = 3(2) + b
-10 = 6 + b
b = -16
therefore...
2y = 3x - 16
simplified:
y = 3/2x - 8
To determine how many acres would minimize cost, we need to differentiate the expression given and set it to zero and obtain the value of x. We do as follows:
C(x) = 0.2x^2 - 12x +240
C'(x) = 0.4x - 12
0 = 0.4x - 12
x = 30 acres <---------amount of flowers needed to minimize cost
Answer:
pi × r² × h
Step-by-step explanation:
Volume = pi × r² × h
Where pi = 3.142 (approx)
r is the radius
h is the height
