<span>Kent has a collection of pennies and nickles with a value of $1.98. The number of pennies he has is five less than twice the number of nickles. How many of each coin does Kent have?
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p + 5n = 198
p = 2n - 5
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Sub for p
2n-5 + 5n = 198
You have to use the Geometric Mean for triangles to find x. Our form will look like this:

which simplifies to

. Cross multiply to get

. Therfore, x = 4. Usually when we take the square root of a number we will end up with both the principle (positive) root and the negative one as well. But since the 2 things in math that will never EVER be negative are time and distance/length, we will not consider the -4. x = 4
For this question, you need to know that the average velocity of a 100m Olympic athlete is 10 m/s before you start solving the equation. The equation is K (energy in Jules) = 1/2 mv^2 (where m is the mass in kg and v the speed in meters per second).
The correct answer is
4000J. To see how I got it, take a look at the attachment.
Answer:

Interpretation:
It means that Passenger will reach to same height after each 2/3 minutes
Step-by-step explanation:
We are given height function as

where
h is the height above the ground
t is the time
we can compare it with standard equation

Period formula is

now, we can compare and find B

we can find period


Interpretation:
It means that Passenger will reach to same height after each 2/3 minutes
Answer:
<h2>p(B) =
8310</h2>
Step-by-step explanation:
We will use the addition rule of probability of two events to solve the question. According to the rule given two events A and B;
p(A∪B) = p(A)+p(B) - p(A∩B) where;
A∪B is the union of the two sets A and B
A∩B is the intersection between two sets A and B
Given parameters
P(A)=15
P(A∪B)=1225
P(A∩B)=7100
Required
Probability of event B i.e P(B)
Using the expression above to calculate p(B), we will have;
p(A∪B) = p(A)+p(B) - p(A∩B)
1225 = 15+p(B)-7100
p(B) = 1225-15+7100
p(B) = 8310
Hence the missing probability p(B) is 8310.