Answer:
40/54 = 20/27
Step-by-step explanation:
Call x the number of days the Alabama facility operares and y the number of days the Texas facility operates
Number of barrels produced:
Facility Alabama Texas total
HIgh grade production: 500x 600y 15,000
Medium grade production 200x 400y 8,400
Equations
500x + 600y = 15,000
200x + 400y = 8400
Divide each equation by 100
5x + 6y = 150
2x + 4y = 84
Multiply first by 2 and second by 5 =>
10x + 12y = 300
10x + 20y = 420
Subtract the first from the second:
20y - 12y = 420 - 300
8y = 120
y = 120/8
y = 15
Replace y value on any of the equations:
2x + 4y = 84 => 2x = 84 - 8y =
2x = 84 - 4(15)
2x = 84 - 60
2x = 24
x = 24/x
x = 12
Answer: the Alabama facility must operate 12 days and the Texas facility must operate 15 days.
G of f means plug f(x) into g(x)
but we want at x=2
we can solve to ways
1) find g(2)=7x-4
= 10
f(10)= 10 / (x-1)
answer is 10/ 9
method 2 is
(f(g)x)= 10/ ((7x-4)-1)
=10/(7x-5)
now x=2
=10/(7(2)-5)
=10/9
same answer, hope this helps
Answer is 4 so C for you. I just did this with my brother! Hope this helped.