Answer:
5 (-9x)
Step-by-step explanation:
Product of 5
5 * ()
difference of 9
5 * (-9)
and a number
5 * (-9x)
Answer:
Length of the rectangle = 16 inches
Width of the rectangle = 12 inches
Step-by-step explanation:
Let the length of the rectangle be represented by x.
Then width can be expressed as ![\[\frac{x}{2}+4\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bx%7D%7B2%7D%2B4%5C%5D%0A)
Perimeter of a rectangle is the sum of four sides of the rectangle.
This can be expressed as 2*(length + breadth)
= ![\[2* (x + \frac{x}{2}+4)\]](https://tex.z-dn.net/?f=%5C%5B2%2A%20%28x%20%2B%20%5Cfrac%7Bx%7D%7B2%7D%2B4%29%5C%5D)
= ![\[2* (\frac{3x}{2}+4)\]](https://tex.z-dn.net/?f=%5C%5B2%2A%20%28%5Cfrac%7B3x%7D%7B2%7D%2B4%29%5C%5D)
= ![\[3x + 8\]](https://tex.z-dn.net/?f=%5C%5B3x%20%2B%208%5C%5D)
But perimeter is given as 56.
So, ![\[3x + 8 = 56\] ](https://tex.z-dn.net/?f=%5C%5B3x%20%2B%208%20%3D%2056%5C%5D%0A)
=> ![\[3x = 48\]](https://tex.z-dn.net/?f=%5C%5B3x%20%3D%2048%5C%5D)
=> ![\[x = 16\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%2016%5C%5D)
Hence length of the rectangle = 16 inches
Width of the rectangle = ![\[\frac{16}{2}+4\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B16%7D%7B2%7D%2B4%5C%5D)
= 12 inches
Answer:
10 feet
Step-by-step explanation:
define variables:
y= height of the boards
x= distance to corner
we are trying to figure out what x is since we know the height of the board
4= 0.4x
divide both sides by 0.4
10=x
Answer:
Tyrone paid the higher markup rate.
Step-by-step explanation:
Tyrone and Terri both bought sofas with installment loans.
Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,
74 × 24 = $1776
The mark up = $1776 - $1350 = $426
Tyrone markup rate = 426/24 = $17.75 per month
Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,
52 × 24 = $1248
mark up = $1248 - $950 = $298
Terri markup rate = 298/24 = $12.4166666667 = $12.42 per month
