Answer:
you: 25h + 100
friend: 20h + 120
same amount of pages: 4 hours
Step-by-step explanation:
Every hour you read 25 pages. I used h to represent hour. It doesnt really matter. That starts your equation at 25h. You already read 100 pages, so we simply add 100 and thats your equation. We use the same thinking for the friend's equation.
To find how many hours it will take for them to read the same amount, we write the equations as an equality. Because we need them to be the same, see?
Work through the equation to get your h on one side and the numbers on the other. We come up with 4.
Step-by-step explanation:
midpoint formula:
{ (x2 + x1) /2 } for x-coordinate of the midpoint
<em>and</em>
{ (y2 + y1) /2 } for y-coordinate of the midpoint
The point E is located at (-2,3)
The point F is located at (1,6)
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{ (x2 + x1) /2 } for x-coordinate of the midpoint
{ [ (-2) + (1) ] /2 } = (-2+1) /2 = -1/2 or -0.5
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{ (y2 + y1) /2 } for y-coordinate of the midpoint
{ [ (3) + (6) ] /2 } = (3+6) /2 = 9/2 or 4.5
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ANSWER: (-0.5, 4.5) or (1/2, 9/2)
<em>Seriously, dude. You got the right answer. </em>
2 gallons if you would like me to explain this answered ask me to in the comments. :)
(1) 3x+2y=12
(2) -4x+6y=24
Solving the system of equations using the method of substitution:
Isolating y in the first equation:
(1) 3x+2y=12→3x+2y-3x=12-3x→2y=12-3x→2y/2=(12-3x)/2→y=(12-3x)/2
Replacing "y" by (12-3x)/2 in the second equation:
(2) -4x+6y=24
y=(12-3x)/2→-4x+6[(12-3x)/2]=24
Solving for x:
-4x+3(12-3x)=24
-4x+36-9x=24
-13x+36=24
-13x+36-36=24-36
-13x=-12
-13x/(-13)=-12/(-13)
x=12/13
Replacing "x" by 12/13 in y=(12-3x)/2
x=12/13→y=[12-3(12/13)]/2
y=(12-36/13)/2
y={[(13)(12)-36]/13}/2
y=[(156-36)/13]/2
y=(120/13)/2
y=(120/13)(1/2)
y=60/13
x=12/13; y=60/13
-x+2y=-12/13+2(60/13)
-x+2y=-12/13+120/13
-x+2y=(-12+120)/13
-x+2y=108/13
Answer: The value of -x+2y is 108/13
