Answer:
Let the total distance Aileen ran be 'x'
Let the distance ran by Andrew be 'y'
Refer to graph attached for graphical representation of distance travelled by both.
Applying the formula,
distance=speed*time
x=20*t Equation 1
y= 15*t equation 2
Since it can be easily understood by the graph attached, that
x=150+y equation 3
Now putting values of x and y in equation 3
20*t =150 +15*t.
5t= 150
t=30 seconds.
putting the values of t in both the equation 1 and 2
x=20t
=20*30
x = 600 feet
So the distance ran by Aileen is 600 feet, whereas Andrew ran 450 feet.
Step-by-step explanation:
Do not mind the names just change them. I had the same question before with different names so that is why. Hope this helps:)
8 14/15 pounds altogether if you needed the answer in mixed numbers simplified.
Answer:
y = 5.4x + 23.5
Step-by-step explanation:
Since the service charges $23.50 for every hour, you have to multiply x by 23.5 like this: 23.5
There is a flat fee of $23.50, so you have to add 23.5 on top of that like this: 5.4x + 23.5
All of this has to add up to y; 5.4x + 23.5 = y
-9 is the slope of the line.
Answer:
Step-by-step explanation:
Perimeter is
P = 2L + 2W. We are given the perimeter as 180 feet, so
180 = 2L + 2W. Solve this for either L or W. I chose W, no reason...
180 - 2L = 2W so
90 - L = W Hold that thought. We'll come back to it in a minute.
Area is
A = LW. We are given the area as 1800 square feet, so
1800 = LW. Sub in 90 - L for W:
1800 = L(90 - L). Distribute to get a quadratic:
Get everything on one side and solve for the length by factoring:
Factor this however you like to factor quadratics, to get the length of
L = 30 and L = 60. First off, the length is longer than the width in general, so if we want to solve for the width, plug in 60 as L in the equation in bold print:
90 - 60 = W and
30 = W
So L = 60 and W = 30
