Perimeter is the addition of all the sides
x-2+x+3x+1=2x-5+x+4+6x-7; since their perimeters are equal
5x-1=9x-8
collect the like terms
-1+8=9x-5x
7=4x
x=7/4
x=1.75
So, to set up this equation, lets just say that Lucas did 5 hours of homework also. The ratio of Lucas's homework to video games is 60 minutes of homework/30 minutes of video games. If we converted the 5 hours into 300 minutes then you would multiply the 60 minutes by 5 and the 30 minutes by 5 also. You would get 300 minutes/150 minutes. Jonathan's ratio is every 5 hours of homework/3 hours of video games. We would convert this to minutes by taking both numbers and multiplying them by 60. We would get 300 minutes/180 minutes. Using this we know that Jonathan gets more time to play video games because every 5 hours of homework he gets 180 minutes of gaming and for Lucas, every 5 hours of homework he only gets 150 minutes of gaming. I hope that this helped you!
Perimeter: P=24 ft
Lenght: L
Width: W
The length is 2 ft longer than the width:
(1) L= W+2 ft
Perimeter: P=2(W+L)
P=24 ft
2(W+L)=24 ft
Dividing both sides of the equation by 2:
2(W+L)/2 =(24 ft)/2
(2) W+L=12 ft
We have a system of 2 equations and 2 unkowns:
(1) L=W+2
(2) W+L=12
Using the method of substitution: Replacing L by W+2 in the second equation:
(2) W+L=12
W+(W+2)=12
W+W+2=12
2W+2=12
Solving foe W
2W+2-2=12-2
2W=10
Dividing both sides of the equation by 2:
2W/2=10/2
W=5
Replacing W by 5 in the first equation:
(1) L=W+2
L=5+2
L=7
Answers:
What is the width? 5 ft
What is the length? 7 ft
Answer:
5.81
Step-by-step explanation:
The method of cylindrical shells uses this formula:
It integrates the pieces of area in the region.
In this case:
Integrating by computer:
Evaluating between 0 and 2
