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
R^2+2r-33=0 move constant to other side by adding 33 to both sides
r^2+2r=33 halve the linear coefficient, square it and add to both sides, in this case it is just one
r^2+2r+1=34 now the left side is a perfect square...
(r+1)^2=34 take the square root of both sides...
r+1=34^(1/2) subtract 1 from both sides
r=-1+34^(1/2) and -1-34^(1/2)
Answer:
D
Step-by-step explanation:
Firstly let's see definition of Rational numbers ,
<u>Rational</u><u> numbers</u><u> </u><u>:</u><u>-</u><u> </u>
- The number in the form of p/ q where p and q are integers and q is not equal to zero is called a Rational number .
From the options , look at option D ,its
→ √400
→ √{20²}
→ 20
<h3>
Hence option D is correct.</h3>