Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:
(1) 12y + 6x = 138
(2) 5y + 11x = 100
If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x
We can now substitute this into equation (2):
5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
The coefficient of x is 3.
because this is what x is being multiplied by
Answer:
D
Step-by-step explanation:
7.6/3.8 = 2
The dilation is by scale factor 2.
8/2 = 4
11/2=5.5
Calculate the volume.
Cross section × height
4 × 3.8 × 1/2 × 5.5 = 41.8
The volume of the smaller prism is 41.8 ft³.
Answer:
C(q)equals=(w/33)q if (w/33)greater than or equals≥(r/22), and (r/22)q otherwise.
Step-by-step explanation:
The production function is q = 33L + 22K
Cost function is then, C = wL+ rK
Minimising the functions, we get:
σ = wL+ rK+ λ(q -33L -22K)
dσ/dL = w - λ33 = 0 ----------(1)
dσ/dK = r - λ22 = 0 -----------(2)
dσ/dλ = q -33L -22K ---------(3)
From equation (1) and (2)
w/r ⇒ λ33 / λ22 ⇒ ³³/₂₂
Or, w = r(³³/₂₂)
Substitute for 'w' in C
C = r(³³/₂₂)L + rK
C = r [(³³/₂₂)L + K]
Or, (³³/₂₂)L + K = C / r
So, C/r = q or r = C/q
recall that w = r(³³/₂₂)
∴ w = (³³/₂₂)C/q
So, cost function C = wL+ rK
Substitute for 'w' and 'r' in the equation
