Answer:
<h2>37</h2>
Step-by-step explanation:

p = 10
r = -4
t = 5
Substitute values into the given equation

Simplify

42 minutes because i add 33min and 1/2 hours together and got 42
For 11, we can subtract x from both sides for the first equation to get y=8-x, making the slope -1 for both equations and therefore making it parallel.
For 13, we can solve for y in the first equation by subtracting 14 from both sides and therefore getting 2x-14=y. For the next one, we can subtract 4x from both sides to get 10-4x=2y. Dividing both sides by 2, we get 10-2x=y. Since for the equations to be parallel they must be the same and for perpendicular they must be -1/(slope), this fits neither.
Using those two explanations, I implore you to solve the other two on your own!
<h3>Write a model in simplified form for the total time t (in hours) of the trip:</h3>

<h3>It takes 2.95 hours when r is 4 miles per hour</h3>
<em><u>Solution</u></em>:
Given that,
<h3>You travel 3 miles downstream in a kayak at a speed of r miles per hour</h3>
Downstream:
Speed = r miles per hour
Distance = 3 miles
Time taken is given as:

<h3>You turn around and travel 4 miles upstream at a speed of 0.5r miles per hour</h3>
Upstream:
Speed = 0.5r miles per hour
Distance = 4 miles
Therefore,

<h3>Finally, you turn around and return to your original starting point at a speed of r + 1 miles per hour</h3>
Therefore,

<em><u>a)Write a model in simplified form for the total time t (in hours) of the trip</u></em>
The total time taken is:
eqn 1 + eqn 2 + eqn 3

<em><u>b)How long does your trip take when r is 4 miles per hour?</u></em>
Substitute r = 4

Thus it takes 2.95 hours when r is 4 miles per hour
Answer:
Step-by-step explanation:
(x + 22)/2 = 27
x + 22 = 54
x = 32
(y + 16)/2= 9
y + 16 = 18
y = 2
(32, 2)