Jacob's boat rentals charges a one-time fee plus a $5 hourly rate to rent a boat. the cost to rent a boat for 2 hours is $25 and the cost for 3 hours is $30. which is the one-time fee to rent a boat?

Hi there! The answer is $15

Let the one-time fee be represented by X.
The total cost of hiring a boat for 2 hours is X + $5 per hour × 2 hours = X + $10

The total cost can also be expressed as $25.
Now we can set up an equation.
X + 10 = 25

Subtract 10.
X = 15

Therefore, the one-time fee to rent a boat is $15.

We can check this by plugging in the data for the rent of 3 hours.
$15 + $5 per hour × 3 hours =
$15 + $15 = $30, which is the correct answer.

In short:
The answer is $15
~ Hope this helps you!

Hello!

We know that the sum of all angles in a triangle is 180 degrees. This can be represented by the following formula:

(angle 1) + (angle 2) + (angle 3) = 180

Insert all known values and variables of triangle ABC into the formula above:

30 + (80 + y) + y = 180

Simplify and combine like terms:

30 + 80 + y + y = 180
110 + 2y = 180

Now subtract 110 from both sides of the equation:

2y = 70

Divide both sides by 2:

y = 35

We have now proven that Y is equal to 35 degrees. Using the known value of Y, we can find the value of X using the same formula as above. Begin by inserting all known values and variables of triangle BCD:

y + y + x = 180
(35) + (35) + x = 180

Combine like terms:

70 + x = 180

Subtract 70 from both sides of the equation:

x = 110

We have now proven that X is equal to 110 degrees. Therefore, considering the known values of X and Y, the answer to this problem is C.

I hope this helps!