For a problem like this, we have to think logically
we know that 6 * some number in the thousands must equal 25 thousand something. Let's say we put 5 in that first spot, 6 * 5,000 is already 30,000 so that's wrong. If we go one lower, 6 * 4,000 is 24,000 and so now we can include the 287 knowing it will fit.
so 6 * 4287 = 25,722.
all we do now is fill in the blanks to match our answer.
Answer:
3024 in^3
Step-by-step explanation:
Think of the dimensions of this prism as being 18 in by 12 in by 14 in:
V = (18 in)(12 in)(14 in) = 3024 in^3
Answer:
the only solution is 0
Step-by-step explanation:
D
L
K
C
Answers in order from 5-8
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.