Volume = ( length x width x height ) / 3
For the pyramid in the picture, it would be ( s x s x h ) / 3
Answer:
(0, 6), (2, 7)
y = mx + b
m = (7 - 6)/(2 - 0) = 1/2 = 0.5
b = 6
y = 1/2*x + 6
1/2*x - y = -6
So, answer D is correct. But m is the fraction 1/2 and not 12.
Answer:
27%
Step-by-step explaination
93%-66%=27%
Answer:
It will cost approximately $16.12 to varnish all the wooden planks.
Step-by-step explanation:
We are given the following in the question:
Number of rectangular planks = 12
Dimension of the rectangular wooden plank:
Length = 8 feet
Width = 3 feet
Area covered by I bottle of varnish = 125 Square feet
Cost of 1 bottle of varnish = 3.50 units
Area of 1 rectangular plot =
Total area to be covered by varnish =
Number of varnish bottles required =
Cost of varnishing =
Thus, it will cost approximately $16.12 to varnish all the wooden planks.
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.