Answer and Step-by-step explanation:
A) The first three terms are:
5, 8, 11
B) The tenth term is 32
You find the answer by plugging in the value for n. So for A), you would plug in 1, 2, and 3 (the first 3 terms), then to find the tenth term, you plug in 10 for n.
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Let us assume the number of cars parked after which John will start earning more than his fixed weekly salary = x
The fixed weekly salary of John = $300
The fee that John gets for parking each car = $5
Then we can get the equation as
5x = 300
x = 300/5
= 60
So from the above deduction we can see that John will earn the equal amount of his weekly pay after he parks 60 cars. Then it becomes obvious that parking car number 61, John will start earning more than what he gets as his fixed weekly salary. I hope you have understood the described method.
The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.
Let the speed of one bicyclist=x mph
Let the speed of the other bicyclist=(x+3) mph
Hence:
Speed of one bicyclist:
3x+3(x+3)+2=98
3x+3x+9+2=98
6x=87
Divide both side by 6x
x=87/6
x=14.5 mph
Speed of the other bicyclist:
x+3 mph
14.5 mph+3 mph
=17.5 mph
Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.
Learn more here:
brainly.com/question/18839894
Answer:
x=4
Step-by-step explanation:
Divide both sides by 6.
