Answer:
C
Step-by-step explanation:
Let x = price of one balcony seat and y = price of one orchestra seat
Price of orchestra seat = Price of balcony seat + 6
Or y = x + 6
Or 400y + 250x = 8250
Now that we have to two equations with two variables, we can use either substitution, elimination or graphing to find the prices of the seats.
I attached a picture of the graph. Remember since we set y as the price of the orchestra seat, the y coordinate in the point of intersection will be the price for one orchestra seat. This will be the same for the price of a balcony seat and the x coordinate.
Therefore, the price of one balcony seat is $9 and the price of one orchestra seat is $15.
Answer:
On the first day, they traveled 30 percents of the total distance. On the second day they traveled one fourth of the total distance. One fourth converted into percentage is 25 percent. Then you add 30 plus 25 because that is the to a
total distance that Murphy's family traveled for 2 days. It will be 55 percents, and you convert 55 percents into fraction will be 55/100, and you simplify it, will be 11/20.
x = 37.5 (or)
Solution:
Given
AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x
To find the value of x:
Property of similar triangles:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.
Do cross multiplication, we get
Subtract 30x from both sides of the equation.
Divide by 20 on both sides of the equation, we get
x = 37.5 (or)
Hence the value of x is 37.5 or .