Answer:
Step-by-step explanation:
Let's call the ages D for daughter and S for son.
We know that the son is twice as old as the daughter, so:
S = 2D
We also know that in 15 years, their ages add up to 100, so:
(40+15) + (S+15) + (D+15) = 100
55 + S + 15 + D + 15 = 100
85 + S + D = 100
S + D = 15
Substituting the first equation:
2D + D = 15
3D = 15
D = 5
Therefore:
S = 2D = 10
The son is 10 and the daughter is 5.
Answer:
That would be infinity. Both sides of the equation are 4x. Therefore anything you plug in for x would work
Answer:
Equation of given line is 
Below is the graph attached.
Step-by-step explanation:
Given,
The line crosses through two highlighted points (-4,4) and (-2,0).
We are asked to find the equation of given line.
In this case equation of line can be obtained through point-slope form,
Where 'm' is the slope,
Substituting the above points in this slope formula.
We get,
Now plugging and 
in point-slope form,
![y-4=-2[x-(-4)]](https://tex.z-dn.net/?f=y-4%3D-2%5Bx-%28-4%29%5D)
![y-4=-2[x+4]](https://tex.z-dn.net/?f=y-4%3D-2%5Bx%2B4%5D)
Therefore is the equation of given line.
Well the slope, which is 4, represents the four dollars he gets each week. The y intercept, 15, represents the 15 dollars that Homer had previously/
The unoccupied volume will be the volume of the can minus the volume of the three tennis balls.
V=HπR^2-3(4πr^3)/3
V=HπR^2-4πr^3 where H=height of can, R=radius of can, r=radius of ball
We are told H=7, R=1.5, and r=1.125 (2.25/2=d/2=r) so
V=7π1.5^2-4π1.125^3
V=15.75π-5.6953125π in^3
V≈31.58 in^3
