Answer:
p = 56
Step-by-step explanation:
8 = p/7
from the expression above
use cross multiplication
p = 8 × 7
p = 56
<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
You multiply the number outside the parenthesis with both of the numbers in the parenthesis separately.
Answer:

Step-by-step explanation:
The figure is a parallelogram
we know that
In a parallelogram opposite angles are congruent and consecutive angles are supplementary
In this problem
----> by consecutive interior angles
solve for x




Answer:it’s just b for future references
Step-by-step explanation: