Using the quadratic equation we get:
Factoring out 2 we get
Factoring out the imaginary number:
So b.
<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.
Answer:
C. 13,248 square units
Step-by-step explanation:
You gotta find measure of bottom leg of the triangle which 92
Then add that to 100
92 + 100 = 192
You multiply 192 by 69
192 x 69 = 13248
Given situation : 0.5 pound of peaches selling for 0.80 dollars/ pound
0.7 pound of oranges selling for 0.90 dollars / pound.
Solution
Given number 1 : Peaches
=> 0.5 pound = meaning, ½ pound is available, And 1 pound of it costs 0.80 dollars.
Let’s solve:
=> 0.80 dollars * 0.5
=> 0.40 dollars – the price of the peaches.
Given number 2 : Oranges
=> 0.7 pounds of oranges, meaning less than 1 pound. And 1 pound costs 0.90 dollars
Let’s solve to get the anwer
=> 0.7 * .90
=> 0.63 dollars – the costs of 0.7 pounds of oranges,
Answer:
ASA
Step-by-step explanation:
congruent angle, share a side, right angle