Answer:
Step-by-step explanation:
a/(b+c) < 2a/(a+b+c)
b/(a+c) < 2b/(a+b+c)
c/(a+b) <2c/ (a+b+c)
so a/(b+c)+b/(a+c)+c/(a+b) <2(a+b+c)/(a+b+c)=2
Answer:
220 Yards per minute
Step-by-step explanation:
15miles/2hours
**To show mph**
7.5miles/1hour ; Now you want to convert the miles into yards and the hours into minutes.
7.5*1,760/60minutes
13200/60 minutes ; now divide to show yards per minute.
220ypm
<span>Constraints (in slope-intercept form)
x≥0,
y≥0,
y≤1/3x+3,
y</span>≤ 5 - x
The vertices are the points of intersection between the constraints, or the outer bounds of the area that agrees with the constraints.
We know that x≥0 and y≥0, so there is one vertex at (0,0)
We find the other vertex on the y-axis, plug in 0 for x in the function:
y <span>≤ 1/3x+3
y </span><span>≤1/3(0)+3
y = 3.
There is another vertex at (0,3)
Find where the 2 inequalities intersect by setting them equal to each other
(1/3x+3) = 5-x Simplify Simplify Simplify
x = 3/2
Plugging in 3/2 into y = 5-x: 10/2 - 3/2 = 7/2
y=7/2
There is another vertex at (3/2, 7/2)
There is a final vertex where the line y=5-x crosses the x axis:
0 = 5 -x , x = 5
The final vertex is at point (5, 0)
Therefore, the vertices are:
(0,0), (0,3), (3/2, 7/2), (5, 0)
We want to maximize C = 6x - 4y.
Of all the vertices, we want the one with the largest x and smallest y. We might have to plug in a few to see which gives the greatest C value, but in this case, it's not necessary.
The point (5,0) has the largest x value of all vertices and lowest y value.
Maximum of the function:
C = 6(5) - 4(0)
C = 30</span>
Lets write formulas for volume of both cone and can
Cone:
Vc = Bc*Hc/3
Can:
V = B*H
where B is basis and H is height for each
Now because cone fits perfectly inside can that means that both B and H are the same
from this we can see that cone has 3 times less volume than a can that cone is inside of.
if can has 36 volume that means that cone has:
36/3 = 12 volume
Answer is 12.
Answer:
There are 1012 books per bookcase
Step-by-step explanation:
To find the number of books per bookcase take the number of bookcases (72) divided by the number of books (72,864)
So;
72,864 / 72 = 1012
Hope this helps!
