The green line is LM
The red line is JM
The blue point is at the coordinates (2/3, -14/3)
you'll have to excuse the way my graph looks. my graphing application on my computer is weird
Answer:
17m
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
The following equation would be used: 
We would simply substitute the given values, move the values around then we would get our answer:

Answer:
See below.
Step-by-step explanation:
Let <em>x</em> represent the number of days.
Since Day and Night Kennel charges a fee of $20 per day and only a one-time fee of $15:

Where <em>y</em> represents the total cost, <em>20x</em> represents the cost for staying <em>x</em> days and <em>15</em> is the initial one-time fee.
For Bark Time Hotel, similarly:

Again, <em>y</em> represents the total cost, <em>30x</em> represents the cost for staying <em>x</em> days, and <em>5</em> is the initial one-time fee.
Thus, the system of equations is:

Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction
. Notice however that
is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.
-Image Provided-