Answer:
B. Inconsistent (No solutions exist)
Step-by-step explanation:
The linear system that consists of parallel lines are <u><em>inconsistent</em></u><em>, </em>which means that no solutions exist.
Answer:

Step-by-step explanation:
Given equation:

Cube root both sides:
![\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%5B3%5D%7Bp%5E3%7D%3D%20%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D)
![\implies p= \sqrt[3]{\dfrac{1}{8}}](https://tex.z-dn.net/?f=%5Cimplies%20p%3D%20%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D)
![\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:](https://tex.z-dn.net/?f=%5Ctextsf%7BApply%20exponent%20rule%7D%20%5Cquad%20%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3A)





Rewrite 8 as 2³:



Simplify:



Factor completely m^7n+64mn^2
mn(m^6+64n)
(3/8) / 1 = (3/4) / x.....3/8 oatmeal to 1 batch = 3/4 oatmeal to x batches
cross multiply
(3/8)(x) = (3/4)(1)
3/8x = 3/4
x = (3/4) / (3/8)
x = 3/4 * 8/3
x = 24/12
x = 2 <==== 2 batches were made