Draw a diagram to illustrate the problem as shown below.
Let v = speed of the westbound car, mph
Because the eastbound car travels 4 mph faster than the westbound car, its speed is (v+4) mph.
After 2 hours,
the westbound car travels 2v miles west, and the eastbound car travels 2(v+4) miles east.
Because they become separated by 208 miles, therefore
2v + 2(v+4) = 208
4v + 8 = 208
4v = 200
v = 50 mph
The westbound car travels at 50 mph.
The eastbound car travels at v+4 = 54 mph
Answer: The eastbound car travels at 54 mph.
The answer is 15 in³.
The volume of the cone is:

where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone
The volume of the cylinder is:

where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone
Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂
Also:
V₁ = 5
Now, let's write two volume formulas together:

<span>

</span>
We can include V₂ into V₁:

⇒


Answer:
x=3
Step-by-step explanation:
5х - 2 = 3х + 4
5х - 3х = 4 + 2
2х = 6
х = 6/2
х = 3
Hope this helps!
The graph of the piecewise function includes
(1) a straight line passing through point (-3, 0) and stopping at point (0, 3) with an unshaded small circle at the end of point (0, 3) and an arrow at the other end.
(2) a shaded small circle at point (0, 5), and
(3) a straight line starting at the point (0, -1) and passing through the point (2, 3) with an unshaded small circle at the point (0, -1) and an arrow at the other end.
Answer: One pound of cinnamon costs $12.80