Now the width is w.
It's twice as long as wide, so now the length is 2w.
If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.
The are of the new rectangle is 100 cm^2.
area = length * width
area = (2w + 4)(w - 3)
The area of the new rectangle is 100, so we get
(2w + 4)((w - 3) = 100
2w^2 - 6w + 4w - 12 = 100
2w^2 - 2w - 112 = 0
w^2 - w - 56 = 0
(w - 8)(w + 7) = 0
w - 8 = 0 or w + 7 = 0
w = 8 or w = -7
A width cannot be negative, so discard w = -7.
w = 8
The width is 8 cm.
The length is twice the width, so the length is 16 cm.
2x^2 - 8 = 0
2x^2 = 8
x^2 = 8/2 = 4
x = sqrt(4) = 2 or -2
Answer:
y=1/8x+6
Step-by-step explanation:
y-y1=m(x-x1)
y-9=1/8(x-24)
y=1/8x-24/8+9
y=1/8x-3+9
y=1/8x+6
Answer:
Total seashells = (6g + 10) seashells.
Step-by-step explanation:
Given that Mario collected 3g seashells.
Given that Jasmine collected 10 more seashells that mario. It means she collected (3g+10) seashells.
It says to write the number of seashells they collected together in terms of g.
Total seashells = Mario's seashells + Jasmine's seashells.
Total seashells = 3g + (3g+10).
Total seashells = 6g + 10.
Hence, Total seashells = (6g + 10) seashells.
Howdy!
To do this we first have to find the unit rate of 2,600.
2,600/4=650 each week. Then, we just multiply 650x20, with 20 being the number of weeks.
650x20=13,000<---Answer
-Seth
