<span>all places to the right of the decimal are equal to zero. However, you can still express a whole number as a decimal. For example, 4 can be written also as 4.0, 4.00, or 4.000000; all of these numbers are equal.</span>
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.
Answer:
Step-by-step explanation:
average of x-coordinates = (7+1)/2 = 4
average of y-coordinates = (-3-1)/2 = -2
center of circle: (4,-2)
radius = distance between (1,-1) and (4,-2)
= √((4-1)²+(-2-(-1))²)
= √10
equation of circle:
(x-4)² + (y+2)² = 10
Answer:
xy and 10xy
Step-by-step explanation:
Answer:
15
^2
−
2
3
Step-by-step explanation: