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:

Explanation:
Draw altitude AD to segment BC such that point D is on BC. This creates right triangles ADB and ADC.
Hypotenuses AB and AC are given as congruent. Leg AD in each triangle is congruent to itself by the reflexive property of congruence.
Then the triangles ADB and ADC are congruent by the HL congruence theorem.
Angles B and C are corresponding parts of congruent triangles, so are congruent by CPCTC.
B=kt
constant is k
b=0.25t
constant of proprtionality is 0.25
So this meeting room is 3 by 19 by 12
surface area/wall area=2(height times width)+2(height times depth)+2(width times depth)
lets say 3=height
depth=19
width=12
2(3 times 12)+2(3 times 19)+2(12 times19)=2(36)+2(57)+2(228)=72+114+456=642
2 coats of paint so surface area times 2
642 times 2=1284
assuming 30m means 30 <u>square</u> meters we divide 1284 by 30 and get
1284/30=42 and 4/5 or 42.8
then find how many cans by dividing by 4
42.8/4=10 and 1.4/2=10.7, but you cant buy 0.7 of a can so round up and get
11 cans of paint
he needs 11 cans of paint