Answer:
It will take 18 weeks
Step-by-step explanation:
Here, we are told that she owes a total of $81 which decreases at a rate of $4.50 per week
The number of weeks it will take to finish paying the debt will be the amount owed divided by the payment per week
Mathematically that is 81/4.5 = 18
The two equations are vertical angle, which would be equal to each other.
Set the equations to equal and solve for x:
5x -10 = 3x +40
Subtract 3x from both sides:
2x -10 = 40
Add 10 to both sides:
2x = 50
Divide both sides by 2:
x = 50 / 2
x = 25
The answer is B. 25
The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
Answer:
It will cost $12.5 per person to charter a bus for 36 passengers
Step-by-step explanation:
The cost per person c of chartering a tour bus varies inversely as the number of passengers n.
We can write:
where k is constant of proportionality
We are given when c = 22.50, n = 20
We need to find c when n = 36
First using c = 22.50, n = 20 we will find k, the constant of proportionality
So, we get k = 450
Now, we will find c when n = 36
So, we get the value of c: c = 12.5
Therefore, It will cost $12.5 per person to charter a bus for 36 passengers
