Answer:
The total number of text messages sent was 27.
Step-by-step explanation:
The monthly cost of the cell phone plan, in function of the number of text messages sent(s) and the number of messages received(r), is given by:
![C = 39.95 + 0.15(s + r)](https://tex.z-dn.net/?f=C%20%3D%2039.95%20%2B%200.15%28s%20%2B%20r%29)
In this question, we have that:
![C = 53.45, r = 63](https://tex.z-dn.net/?f=C%20%3D%2053.45%2C%20r%20%3D%2063)
We put this into the equation to find the value of s. So
![C = 39.95 + 0.15(s + r)](https://tex.z-dn.net/?f=C%20%3D%2039.95%20%2B%200.15%28s%20%2B%20r%29)
![53.45 = 39.95 + 0.15(s + 63)](https://tex.z-dn.net/?f=53.45%20%3D%2039.95%20%2B%200.15%28s%20%2B%2063%29)
![0.15s + 9.45 = 13.50](https://tex.z-dn.net/?f=0.15s%20%2B%209.45%20%3D%2013.50)
![s = \frac{13.50 - 9.45}{0.15}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B13.50%20-%209.45%7D%7B0.15%7D)
![s = 27](https://tex.z-dn.net/?f=s%20%3D%2027)
The total number of text messages sent was 27.
Answer:
26 months
Step-by-step explanation:
There are 12 months in a year 1/6 of 12 is 2. So 24 +2 = 26.
I'd say that 2 1/6 years is 26 months.
We want to factor x²-11x+18
In order to factor it, we must find two numbers that add to -11 and multiply to 18.
We will go through the list of factors of 18:
1, 2, 3, 6, 9, 18
We see that 9 and 2 multiply to 18. But we want two numbers that add to -11, so we will simply put a negative sign in front of 9 and 2.
-9 and -2 still multiply to 18 and they add to -11, so now we can factor the expression:
x²-11x+18 = (x-2)(x-9)
I think the answer is $166,742.24