0.25r - 0.125 + 0.5r = 0.5 + r
Step 1: Move all similar terms (r) to the same side of the equation by
subtracting "r" from each side of the equation
0.25r - 0.125 + 0.5r - r = 0.5
Move terms without r to the other side of the equation, by adding +0.125 to each side of the equation
0.25r + 0.5r - r = 0.5 + 0.125
Add similar terms, note that r is equal to 1r
0.75r - 1r = 0.625
-0.25r = 0.625
Solve for r by dividing both sides of the equation by -0.25
r= 0.625/(-0.25)
r=-2.5
D = t multiplied by constant of variation so. constant of variation= d / t
constant of variation = 300 / 5 which is equal to 60
Answer:

Step-by-step explanation:
In order for the triangle to be a right one we need every side to be of the same length. see the photo for furyher explanation.
Answer:
y = 2x/3 + 4
Step-by-step explanation:
The line passes through (-6, 0) and (0, 4)
slope = (4 - 0)/(0 - (-6)) = 4/6 = 2/3
y = (2/3)x + b
when x = 0, y = 4, so
4 = (2/3)*0 + b
b = 4
so
y = 2x/3 + 4
Answer:
In this problem, if we solve it by linear programming one of the conditions does not satisfy which is - number of B should be produced at least 180 in order to meet backlog. This means for B only we need 180* 4 = 540 lbs of iron where as daily supply is only of 100 lbs.
for this option (3) looks viable i.e. 3A + 4B <= 100