The number of advance tickets sold is 25 and same day tickets sold is 30.
Data Given;
- Advance Ticket = $30
- Same-day Ticket = $25
- Total Ticket = $60
- Total Cost of Ticket = $1625
<h3>System of Equations</h3>
Let the number of advance ticket be represented by x
Let the number of same-day ticket be represented by y
From the system of equations above, we can easily pick any to start our calculation.
Using equation (i),
x + y = 60
x = 60 - y ...equation(iii)
Put equation (iii) into equation (ii)
Put the value of y into equation (i)
From the calculation above, the number of advance tickets sold is 25 and same-day tickets is 30.
Learn more on system of equations here;
brainly.com/question/13729904
Answer:
A. 1 rectangle, 2 triangles
B. AB = AE = 5
C. 36.5 square units
Step-by-step explanation:
<h3>A.</h3>
The attached figure shows 1 rectangle (square) and two triangles.
__
<h3>B.</h3>
These sides are aligned with the grid, so their length is simply the difference in coordinates along the line:
AB = 2 -(-3) = 5
AE = 3 -(-2) = 5
__
<h3>C.</h3>
The area of the square is ...
A = s^2 = 5^2 = 25
The area of triangle BCF is ...
A = 1/2bh = 1/2(3)(5) = 15/2
The area of triangle CDE is ...
A = 1/2bh = 1/2(8)(1) = 4
The total area is the sum of the areas of the square and two triangles:
total area = 25 +7.5 +4 = 36.5 . . . square units
_____
<em>Additional comment</em>
We note that segment CE divides the figure into <em>trapezoid</em> ABCE and <em>triangle</em> CDE. The trapezoid has bases 5 and 8, and height 5, so its area is ...
A = 1/2(b1 +b2)h = 1/2(5 +8)(5) = 32.5
Triangle CDE has the same area as computed above, 4 square units. So, the total area of the figure is ...
32.5 +4 = 36. 5 . . . . square units
Answer:
123
Step-by-step explanation:
The given function is :
We need to find the value of f(9). It can be done by putting x = 9 in the above function as follows :
So, the value of f(9) is 123.
Let x specify the number of 16 ounce serving
If you buy the mug you acquire the first serving including
the mug.
So the price of x is:
295 + 50(x - 1)
the x - 1 here shows that the first serving with the mug.
And then count the whole thing in cents.
The fee of throwaway cups is 85x
So breakeven is computed by:
295 + 50(x - 1) = 85x
295 + 50x - 50 = 85x
245 = 35x
x = 245/35 = 7
Checking this will give us:
mug 2.95 + 50*6 = 5.95
disposable
8.5*7 = 5.95
So the answer is D.
Answer:
x=6
Step-by-step explanation:
to solve this equation, we need to isolate the variable (x).
to do this we must subtract both sides by 8.
doing this we get:
4x=24
now we need to divide both sides by 4:
x=6
that's the answer!
