Answer:
The traveler can plan such a tour in 3003 ways.
Step-by-step explanation:
The order that the cities are chosen is not important, since it is chosen by the company and not by the traveler. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this problem, we have that:
Combinations of 5 cities from a set of 15. So
The traveler can plan such a tour in 3003 ways.
Let change 7/8 and 1/5 into decimal point so 0.88 and 0.2
0.88-0.2 =0.68
then we want 5 equal length so we divided
0.68 / 5 =0.14
The picture is incomplete and the width is missing.
I am going to show you how to do it using any width.
The length shown is x + 4 and the width starts with - x.
Assume the width is - x + a.
Then the area of the rectangle with dimensions x + 4 and - x + a is calculated in this way:
1) given: (x + 4) (- x + a)
2) use distribuitive property: (x)(-x) + (x)(a) + (4)(-x) + (4)(a)
= - x^2 +ax -4x + 4a
3) Combine like terms: - x^2 + (a -4)x + 4a
If the polynomial missing were - x + 7, the answer would be:
- x^2 + (7 -4)x + 4(7) = - x^2 + 3x + 28
With this you are able to get the answer using the real values.
