Answer:
M = (3, 3.25)
Step-by-step explanation:
First, using the internal selection formula
Given
m:n = 3:5
(x1,y1) =(0,1)
(x2,y2) =(8,7)
![M={[(mx2+nx1)/(m+n)],[(my2+ny1)/(m+n)]}](https://tex.z-dn.net/?f=M%3D%7B%5B%28mx2%2Bnx1%29%2F%28m%2Bn%29%5D%2C%5B%28my2%2Bny1%29%2F%28m%2Bn%29%5D%7D)
M = (3, 3.25)
2.
M is the point on XY that is 3/8 of the way from X to Y.
x-coordinate of M = 0 + (3/8)(8) = 0 + 3 = 3
y-coordinate of M = 1 + (3/8)(6) = 1 + 2.25 = 3.25
So, M = (3, 3.25)
or (3, 3 1/4)
900x is greater than or equal to 550x+6500. In this equation, I used x to represent the number of weeks, 900x to represent her profits, and 550x+6500 to represent her costs. Then, since 19 is the lowest integer that we can plug into the equation to keep the inequality true, it is our answer, 19 weeks.
Volume=10×1.5×2.5=37.5 cu ft. Weight of contents=37.5×0.64=24 pounds.