<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 ...
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(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.
Step-by-step explanation:
you would divide 489 by 10 and then times that number by 15 and the divide 20 and get your answer that way
<h3>
Answer: 1</h3>
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Explanation:
We're given the height in relation to base BC, so we need to find the length of this base. This is the same as finding the distance from B to C.
Turn to the distance formula
Coincidentally, the base and height are the same. This won't always be the case.
Now we can find the area of the triangle
The area of the triangle is 1 square unit.
See diagram below.
Answer: x = 5, HI = 17, JL=17
Answer:
i believe it is associative property
Step-by-step explanation:
hope this helps, sry if im wrong
