Answer:
1) Distance=Speed*time
90=(x+1)*(x)+(2x+5)(x-1)
90=x^2+x+2x^2-2x+5x-5
3x^2+4x-95=0
2) 3x^2+4x-95=0. Using quadratic formula, we get
x=(-4±sqrt(16-4*3*(-95)<u>)</u>)/6, x=5 or - 19/5 but since x also represents time, it can't be negative.
3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours
Answer:
Natural numbers (integers greater than zero)
X = 3, 5, 4, 4, 3
Step-by-step explanation:
The least number of cars that can be observed in this experiment is 1, if the first car turns left. On the other hand, the experiment could go on forever if no car ever turns left, thus the highest number of cars approaches infinite.
The possible values of X are integers greater than zero, which are known as the Natural numbers.
If X = number of cars observed, simply count the number of letters in each outcome for the value of X:
Outcome = RRL, AARRL, AARL, RRAL, ARL
X = 3, 5, 4, 4, 3
Answer:
503
Step-by-step explanation:
For an arithmetic sequence, the n-th term is found by
To find 
(the common difference) we can simply subtract one of the terms by the last, for example:
The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:
We also have to know that 
stands for the first term of the sequence, which in this case is 311.
Now that we know this, let's find the 32nd term
Good luck!
In this question the given information's should be closely noted. The
length and width of the perimeter are already given. Based on those
information's the answer to the question can be easily deduced.
Length of the rectangle = 2 1/2 inch
= 5/2 inch
Width of the rectangle = 5 1/3 inch
= 16/3 inch
Then
Perimeter of a rectangle = 2 ( Length + Width)
= 2 [(5/2) + (16/3)]
= 2 [ (45 + 32)/6]
= 2 * (77/6)
= 77/3 inch
= 25 2/3 inch
So the perimeter of the rectangle in question is 25 2/3 inch. I hope the procedure is clear to you.
