Answer: Q=1/2p+15,= p=2q-30= Slope = 1.000/2.000 = 0.500
p-intercept = -30/1 = -30.00000
q-intercept = 30/2 = 15
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(2*q-30)=0
Solve p-2q+30 = 0
we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line p-2q+30 = 0 and calculate its properties
Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000
q-intercept = 30/2 = 15
When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000
p-intercept = -30/1 = -30.00000
Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.000/2.000 = 0.500
Given, a parking lot charges $3 for first hour and $2 per hour after that.
So for t hours, the parking lot charges $3 for the first hour and after first hour there is
hours left.
So for
hours it will charge $2 per hour.
The charges for
hours = $
.
Total charges for t hours for one car = $
Now for the second car, it will charge 75% of the first car.
So the charges for second car
=$[
]
=$
There are 3 cars. That parking charges for the third car is also 75% of the first car.
So for third car the parking charges are same as for the second car.
Total parking charges for 3 cars
= $
= $
We have got the required answer here.
The correct option is option C.
Answer:
3 3/4
Step-by-step explanation: all that you have to do is add 1/3 +2/3+11/4 which gives you 3 3/4
V=ca times height
1040=40 times h
H=1040 divide by 40
Height=26