Answer:

Step-by-step explanation:
we are given
y varies directly as x
so, we can write equation as

where
k is constant of proportionality
We have
at x=-1 , y=6
so, we can use it to find k

so, we get

now, we can plug it back

now, we can plug x=5
and we get


Perimeter is 2l+2w in the case of a rectangle, so you would write:
2(4x - 4.25) + 2(7x +7)
The probability of randomly drawing either a red marble or a green marble is 80%
The probability of drawing a green marble is the same as the probability of drawing either a red or a blue marble.
3 out of 4
<em>Have a great night!</em>
Answer: the fixed cost to rent the limousine is $200
Step-by-step explanation:
Let x represent the fixed cost rent the limousine.
Let y represent the cost of of hiring the driver of the limousine per hour.
It cost $500 to rent a limousine for 5 hours. This means that
x + 5y = 500 - - - - - - - - - - -1
It costs 800 to rent a limousine for 10 hours. This means that
x + 10y = 800 - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- 5y = - 300
y = - 300 /- 5
y = 60
Substituting y = 60 into equation 1, it becomes
x + 5 × 60 = 500
x + 300 = 500
x = 500 - 300
x = 200