Answer:
a. 13 years
b. 27950 students
Step-by-step explanation:
Let x be the number of years since the initial year 2005. In 2005,
, in 2006,
, and so on.
For college "A" the number of students is given by the function:
![NSA = 18200 + 750x](https://tex.z-dn.net/?f=NSA%20%3D%2018200%20%2B%20750x)
For college "B" the number of students is given by the function:
![NSB = 34450 - 500x](https://tex.z-dn.net/?f=NSB%20%3D%2034450%20-%20500x)
Matching these expressions you have the value of x for which the two colleges have the same number of students.
![NSA = 18200 + 750x = 34450 - 500x = NSB\\\\750x + 500x = 34450 - 18200\\\\1250x = 16250\\\\x = 16250/1250 = 13](https://tex.z-dn.net/?f=NSA%20%3D%2018200%20%2B%20750x%20%3D%2034450%20-%20500x%20%3D%20NSB%5C%5C%5C%5C750x%20%2B%20500x%20%3D%2034450%20-%2018200%5C%5C%5C%5C1250x%20%3D%2016250%5C%5C%5C%5Cx%20%3D%2016250%2F1250%20%3D%2013)
Then, the two colleges will have the same number of students 13 years later, that is, in 2018.
The number of students that each colleges will have in 2018 will be
students.
Total amount she wants to raise = $3200
Amount she'll get for each kilometer = $35
So, number of kilometers she need to run
= Total amount she wants to raise/Amount she'll get for each kilometer
= $3200/$35
= 91.42....
Since her sponser is will donate only for whole kilometers she'll have to run 92 km.
Answer:
-6
Step-by-step explanation:
x+56+x+136=180
2x+192=180
-192 -192
2x=-12
/2 /2
x=-6
The odds against selecting someone who commutes by bicycle is 90%
Answer: 18x + 12
Step-by-step explanation:
Step #1: Determine the length of each side.
The polygon is regular, so all the sides are equal. Thus, all sides measure 3x+2.
Step #2: Determine the number of sides in the polygon.
This polygon is identified as a hexagon meaning it consists of 6 sides.
Step #3: Set up an expression and distribute.
(Number of sides) x (Length of each side)
(6)(3x+2)
- 6 times 3x equals positive 18x
- 6 times 2 equals positive 12
So, the answer is 18x + 12.