$ 25 was the cost of each ticket before applying the service fee.
<u>Step-by-step explanation:</u>
Given that the cost of two tickets including the service fee = $59
So, the cost of one ticket including the service fee = 
Service fee on each ticket = 18%
Let the cost of 1 ticket without including the service fee = x
So, according to the data given in the question,
Hence, cost of each ticket before applying the service fee = $25
Answer:
The bike whose position has greater y-coordinate.
Step-by-step explanation:
If Dorrian plotted the co-ordinates of the bikes with second on the x-axis and distance traveled on the y-axis, the x-coordinates of the two bikes will be the same.
But, the bike which went faster will have the greater y-coordinate and which followed the earlier will have the smaller y-coordinate.
Hence, the bike which has greater y-coordinate will win the race.
Answer:
Step-by-step explanation:
Since both triangles are similar, we know this because they have 2 angles in common, they both have the same third angle.
To find the third angle, we use the angle sum. The sum of angles in a triangle will always equal 180 degrees. We are given a right angle which is 90 degrees and another angle, which is 53 degrees. Knowing this:
90 + 53 + x = 180 (I have chosen to call the third angle x)
when rearranging this we get
180 - 90 - 53 = x
now we solve
x = 37 degrees
Hope this helps,
Cate
Answer:
4. 54- 8.5x>20
Step-by-step explanation:
Catherine only has $54, so she cannot spend more than that.
The canvas will cost at least $20, but we don't know how much exactly.
The tubes cost $8.50 each.
So, she starts with a total budget of $54, out of which she will buy paints (8.5x) and she wants to have at least $20 left for canvas.
So, we transpose those facts into the inequity:
54 - 8.5x > 20
