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Step-by-step explanation:vkjl
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Mark brainliest please
Hope this helps you
<h2><em><u>REFERS </u></em><em><u>TO </u></em><em><u>THE </u></em><em><u>ATTACHMENT</u></em><em><u>.</u></em></h2>
<h2><em><u>PLEASE</u></em><em><u> </u></em><em><u>MARK</u></em><em><u> ME</u></em><em><u> AS</u></em><em><u> BRAINLIEST</u></em><em><u>:</u></em></h2>
<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.
Answer:
Age of Lucas = 23 years
Age of Lucas Mom = 54 Years
Step-by-step explanation:
In this question we have to find the age of Lucas and his Mom
Let the age of Lucas be x
According to given condition
Twice of his age 2 * x =2x
Eight years older means age + 8x
So
Age of his mom = Twice of his age + 8
= 2x + 8 .................(ii)
now according to second condition
Age of Lucas + Age of his mom = 77
Put the values in the condition above
x + (2x + 8) = 77
x + 2x + 8 =77
3x + 8 = 77
subtracting 8 from both sides
3x + 8 - 8 = 77 -8
3x = 69
Dividing both sides by 3
x = 69 / 3
x = 23 years
Age of Lucas = 23 years
Now from equation (i)
Age of Lucas Mom = 2(x) + 8
putting in the value we get
Age of Lucas Mom = 2 ( 23) + 8
=46 + 8
=54 Years
Age of Lucas Mom = 54 Years
