Answer:
3.93 per hour
Step-by-step explanation:
The first 4 hours is at 20 hours / 4 hours or 5 dollars an hours
The second line has a slope of 2.50 dollars an hour
But there is also a surcharge when you go over 4 hours
That is a 5 dollar flat rate at 4 hours
Assuming that we do not include the flat rate in the hourly calculation
4 hours * 5 dollar + 3 hours * 2.50 = 20+7.50
27.50 is the hourly charge
Divide by 7 hours
3.928571429
3.93 per hour
Y=3/4x-2 would be your equation :)
You find this with y=mx+b with m being your slope and b being the y-axis point
Answer:
The value of the unit rate is 8
Step-by-step explanation:
we know that
To calculate the unit rate simply divide the first number by the second number
so
![12:1\frac{1}{2}](https://tex.z-dn.net/?f=12%3A1%5Cfrac%7B1%7D%7B2%7D)
Convert mixed number to an improper fraction
![1\frac{1}{2}=1+\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B2%7D%3D1%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B3%7D%7B2%7D)
substitute in the expression above
![12:\frac{3}{2}=\frac{24}{3}=8](https://tex.z-dn.net/?f=12%3A%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B24%7D%7B3%7D%3D8)
Answer:
Part 1 : ![w^2+4w-60=0](https://tex.z-dn.net/?f=w%5E2%2B4w-60%3D0)
Part 2 :
w=6
l = 10
Step-by-step explanation:
Part 1:
Let the width of the rectangle = w
Length of the rectangle = w + 4
Area of the rectangle is given as
60 Sq Yrds
![60=w(w+4)](https://tex.z-dn.net/?f=60%3Dw%28w%2B4%29)
![60=w^2+4w](https://tex.z-dn.net/?f=60%3Dw%5E2%2B4w)
![w^2+4w-60=0](https://tex.z-dn.net/?f=w%5E2%2B4w-60%3D0)
Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.
Part 2:
(w+10)(w-6)= 0
either (w+10) = 0
or
(w-6)=0
or both are zero
(w+10) = 0 ⇒ w = -10
not possible as the dimension can not be 0
(w-6)=0 ⇒ w=6
Hence the width is 6 yards
And thus the length will be 6+4 = 10 yards
To find how much each half gallon jug weighs, you do : 125.1 divided by 30 and you get 4.17
so now multiply 4.17 * 110 to get 458.7 pounds
So 110 half gallon jugs weigh 458.7 pounds
Hope This Helps :)