9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Corresponding sides are proportional.
BE/CD = AE/AD
20/(3x+8) = (x-1)/(x-1+27)
20(x+26) = (3x+8)(x -1)
In standard form, this is ...
3x^2 -15x -528 = 0
x^2 -5x -176 = 0 . . . . . . divide by 3
(x -16)(x +11) = 0 . . . . . . . factor
x = 16
__
This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.
Answer:
$6.10 per rose, i would say that it is not the best deal.
Hope this helps!!
Is there a picture we can look at ?
Let's the length to be x,
then the width is 8x - 2.
Perimeter of a rectangle = 2*Width + 2*Length
Perimeter of the rectangle = 2(8x-2) + 2x = 16x - 4 + 2x = 18x - 4
Ar the same time, Perimeter of the rectangle = 88.
So, we can write
18x - 4 = 88
18x = 84
9x=42
x= 42/9 cm (length) or ≈ 4.67 cm (length)
8x - 2 = 8*42/9 - 2 ≈ 35.33 cm (width)
Amount of purchase that Steve made = $40
Percentage of tax that Steve needs to pay = 10%
Then
Amount of tax that Steve needs to pay for the purchase = (10/100) * 40
= 1 * 4 dollars
= 4 dollars
Then
The total amount including tax
that Steve needs to pay for the purchase = (40 + 4) dollars
= 44 dollars
So the dollar amount of tax that Steve had to pay is $4 and
the total amount that Steve had to pay was $44.
