3.
area=legngth tiimes width
legnth is 10 more than 2 times width
l=10+2w
lw=area=(10+2w)w=10w+2w^2
area=3600
3600=10w+2w^2
so divide by 2
1800=5w+w^2
subtract 1800 from both sides
(note they used x instead of w)
0=w^2+5w-1800
then the facotred form is (w-40)(w+45)=0
0 product property measn if you have xy, then x and or y =0
therefor
w-40=0 and w+45=0
w=40 or -45
discard negative because negative legnth is not possible
explian how solution relates to situation
it is math so it is correct because we represented it corrrectly
the other solution is because of math and eliminate negative legnth becasue tha tis not possible
basically because we represented it correctly
not a very clear quetion to answer
basically 'because it represents the solution so we solved it and it is correct'
Let price of one scarf be $x
Price of the other is 3 more than $x
Therefore price of the other scarf =$x +3
The total price she paid = $25.00
That is, x+x+3=25
2x+3=25
2x=25-3
2x=22
x=22/2
x=11
The price of one scarf is $11 and the price of the other is 11+3=$14
The price of the expensive scarf =$14.
40% because if their are 5 colors of equal amounts, than each one is 20% amd if you try and get 2 then you multiply %20 by 2 and you get %40
Since the center is considered the corner that they both share, here are the answers figure a goes with the first, figure b goes with the last, figure c goes with the second, and figure d goes with the third. Hope this helps.
He's using the graduated cylinder method. I think the volume might be between 15 and 20. (It's kind of not obvious...)
