Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5
From the recursive rule, you can tell the initial value is 3 and the common ratio is 12. The explicit rule is always
.. (n-th term) = (initial value)*(common ratio)^(n -1)
Subsituting the values you know, you have
.. an = 3*12^(n-1)
Answer:
The value of x is 7 and value of y is 45
Step-by-step explanation:
In ΔXYZ
∠X = 50°, ∠Y=30°
To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)
So,∠X + ∠Y + ∠Z = 180°
So,50°+30°+ ∠Z = 180°
∠Z=180°-80°
∠Z=100°
Now we are given that ΔXYZ ≅ΔFED
So, the corresponding sides are equal and the corresponding angles are equal.
So, ∠Z= ∠D
So, 100=2y+10
100-10=2y
90=2y
45=y
Now XY = EF
So, 9 = 3x-12
21=3x
7=x
Hence The value of x is 7 and value of y is 45