Riley has a total of,
8p + 7 + 2p + 5 or
10p + 12 dollars
Pam on the other hand has
(10p + 12) - 7p = 3p + 12 dollars
After giving half of this money to Riley, Pam will have
1.5p + 6 dollars
First find the area of the circle using A=pi*r^2
pi*36
Then divide this by 4 because the shaded region is 1/4 of the circle
(36*pi)/4=9*pi
Final answer: B
Volume of an iceberg = 7685 cubic feet
Since, density of ice = 0.917 ![g/cm^3](https://tex.z-dn.net/?f=g%2Fcm%5E3)
We have to determine the mass of the ice.
Since density = ![mass \times volume](https://tex.z-dn.net/?f=mass%20%5Ctimes%20volume)
Since the unit of density is in
, first we will convert the density unit in kilogram.
Since, 1 kilogram = 1000 gram
Therefore, density = ![\frac{0.917}{1000} kg/cm^3](https://tex.z-dn.net/?f=%5Cfrac%7B0.917%7D%7B1000%7D%20kg%2Fcm%5E3)
= 0.000917 ![kg/cm^3](https://tex.z-dn.net/?f=kg%2Fcm%5E3)
Since, the density unit is in cubic centimeter. We will convert it into cubic feet.
1 cubic centimeter = 0.00003531466 cubic feet
Therefore, 0.000917
= 0.000917 x 0.00003531466
= 0.0000000323
.
Now, mass = ![density \times volume](https://tex.z-dn.net/?f=density%20%5Ctimes%20volume)
= 0.0000000323
7685
= 0.000248
=0.00025
.
Therefore, the mass of ice is 0.00025
.
Answer:
The graph will become flatter but the y-intercept will stay the same.
Using the permutation formula, there are 157,410 ways for the medals to be distributed.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:
![P_{(n,x)} = \frac{n!}{(n-x)!}](https://tex.z-dn.net/?f=P_%7B%28n%2Cx%29%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-x%29%21%7D)
In this problem, 3 athletes are chosen from a set of 55, hence the number of ways is given by:
P(55,3) = 55!/52! = 157,410
157,410 ways for the medals to be distributed.
More can be learned about the permutation formula at brainly.com/question/24245547
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