Answer:
width = 47
Length = 100
Step-by-step explanation:
The perimeter of the rectangle has the formula
P = 2(L + W)
P = 2L + 2W
Length = 6 yards longer than double it's width.
Mathematically,
length = 6 + 2W
We put this into the formula for perimeter
P = 2(6+2W)+2W
294 = 12+4W+2W
294 = 12+6W
Collect like terms
294-12 = 6W
282 = 6w
Divide through by 6
W = 282/6
W = 47
This is the width
Remember length = 6 + 2(W)
So
Length = 6+2(47)
= 6+94
= 100
Width = 47
L = 100
These are the dimensions
318,990/100 = 3,189.9
3,189.9 x 0.44 = 1403.556, rounded to $1,403.56 is the total amount added.
I don’t think they’re looking for it to be broken down into months, so I think that’s your answer.
1/2x1/9=1/18+2=2 1/18 <---- Answer
1/18+34/18=35/18
35/18=2 1/18
This was done in my head so if it is wrong please do not be mad at me :)
Let
Then
and solving for x gives
By the quadratic formula,
but x must be a positive number, so only the positive square root solution is valid.
We identify a = c = 3 and b = 2, so a + b + c = 8.
