Answer:
number of ways = 720
Step-by-step explanation:
The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then
number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720
Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.
Multiply 3 * 1 1/2 to find how many miles she runs per hour
1 1/2 * 3
3/2 * 3
9/2
4 1/2 She will run 4 1/2 or 4.5 miles per hour.
Answer:
Solve for the first variable in one of the equations, then sub the result into the other equation.
point form- (4,-1)
equation form- x=4, y=-1
Step-by-step explanation:
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Given:
The nth term of a number sequence is
.
To find:
The first 3 terms and the 10th term.
Solution:
We have, nth term of a number sequence.

For n=1,



For n=2,



For n=3,



For n=10,



Therefore, the first three terms are 3, 8 and 15 respectively. The 10th term is 120.
The value of y is 27. (first option.)
isolate the variable by dividing each side by factors that don't contain the variable.