Answer: 4.064
Step-by-step explanation: Add up all the numbers and divide them by the amount of numbers to find the average.
Given line ax+by=c and point (h, k), the perpendicular line through (h, k) can be written as
b(x-h) -a(y-k) = 0
In order for this to be in standard form, it must be rearranged somewhat, and any common factors removed.
We can start with
20(x-8) -5(y-3) = 0
4x -32 -y +3 = 0
4x -y = 29
The standard-form equation of the desired line through (8, 3) is
4x -y = 29
Answer:
30lbs of recyclables.
Step-by-step explanation:
-Let x be the corresponding lbs of recyclables to 40lbs of trash.
-Given that for every 100lb of trash, 75lb is recyclable.
-We determine the ratio of trash to recyclables and use it to calculate the amount correspond to 40lbs of trash:
![Trash:Recyclable=100:75\\\\\therefore \frac{Trash}{Recyclable}=\frac{100}{75}=\frac{40}{x}\\\\100x=40\times 75\\\\x=30\ lbs](https://tex.z-dn.net/?f=Trash%3ARecyclable%3D100%3A75%5C%5C%5C%5C%5Ctherefore%20%5Cfrac%7BTrash%7D%7BRecyclable%7D%3D%5Cfrac%7B100%7D%7B75%7D%3D%5Cfrac%7B40%7D%7Bx%7D%5C%5C%5C%5C100x%3D40%5Ctimes%2075%5C%5C%5C%5Cx%3D30%5C%20lbs)
Hence, thee are 30lbs of recyclables in 40lbs of trash.
Answer:
They each get 1 3/4 pounds of cashews
Step-by-step explanation:
7 ÷ 4 = 1.75
1.75 ( 1 3/4)