Propane costs $3.50 per hundred pounds,
and there is a $6 monthly delivery fee.
A family has budgeted $85 for their propane this month.
Let 'x' hundreds of pounds can the family use without going over budget
Here family has budgeted $85 for their propane.
So the cost for Propane = $ 3.5x
One month delivery fee $6
Therefore cost + delivery charge not exceed $85
So 3.5x + 6 ≤ 85
3.5x=85-6 =79
x = 22.57
Therefore 22 hundreds of pounds can the family use without going over budget
The main rule we use in this exercise is

and the more general case:
![( \sqrt[n]{a} ) ^{m} =( a^{ \frac{1}{n}} )^{m} = a^{ \frac{1}{n}*m}=a^{ \frac{m}{n}}](https://tex.z-dn.net/?f=%28%20%20%5Csqrt%5Bn%5D%7Ba%7D%20%20%29%20%5E%7Bm%7D%20%3D%28%20a%5E%7B%20%5Cfrac%7B1%7D%7Bn%7D%7D%20%29%5E%7Bm%7D%20%3D%20a%5E%7B%20%5Cfrac%7B1%7D%7Bn%7D%2Am%7D%3Da%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%7D)
Using these rules, we make all the indices, or exponents, look like

, and compare them to each other.
A.

B.

C.
![( \sqrt[3]{125} ) ^{7} =( 125^{ \frac{1}{3}} )^{7} = 125^{ \frac{1}{3}*7}= 125^{ \frac{7}{3}}](https://tex.z-dn.net/?f=%28%20%20%5Csqrt%5B3%5D%7B125%7D%20%29%20%5E%7B7%7D%20%3D%28%20125%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%20%29%5E%7B7%7D%20%3D%20125%5E%7B%20%20%5Cfrac%7B1%7D%7B3%7D%2A7%7D%3D%20125%5E%7B%20%5Cfrac%7B7%7D%7B3%7D%7D%20%20%20)
D.
Can you show the choices you have
Answer:
Yes, they are parallel
Step-by-step explanation:
You can rewrite the second equation in slope intercept form to get your answer.
x-2y-8=0
-2y=-x+8
y=1/2x-4
Since the slope of this line is the same as that of the first, they are parallel. Hope this helps!