The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²
We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²
This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x
The area,
88 = (20 - 2x)(14 - 2x)
Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²
Divide the equation by 4,
22 = 70 - 17x + x²
Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.
Thus, the thickenss is equal to 58.2 in
Step-by-step explanation: if its asking how much money he spends in total you multiply
$3.25 x 5 = 16.25
15.50 for 6 lbs......15.50/6 = $ 2.58 per lb
Since they each paid the same amount, we can figure out that 9*4=36 dollars is the price of the gift. Next, since there was a 10% discount (or 0.1 by moving the decimal 2 spots to the left), we can say that the original gift price is x and
x-0.1*x=0.9*x due to that we subtract the 10% discount (and it's 10% of the original price). In addition, the sisters paid 0.9*x, which is 36. Dividing both sides by 0.9, we get x=40
5n-4=11
1/2n+15=20
4n+8=12
unless those _ are supposed to be negative signs
then it would be
1/2n+15=-20
and 4n+8=-12
