First, we need to get rid of the denominator. to do so, we will simply multiply all terms by 12 (which is the result of 3*4).
(3x/4)(12)+(2/3)(12)=(x/3)(12)
9x + 8 = 4x
then we will separate the variable in one side and solve to get its value
9x-4x = -8
5x = -8
x = -8/5
Answer:
the mean of A and C is 10
Step-by-step explanation:
Given;
mean of A and B = 20
mean of B and C = 24
mean of A, B and C = 18
![\frac{A + B}{2} = 20\\\\A+ B = 40 ---- (1)\\\\\frac{B + C}{2} = 24\\\\B+ C = 48----(2)\\\\\frac{A+ B+ C}{3} = 18\\\\A+ B+ C= 54---(3)\\\\From (1); \ A = 40 - B\\\\From(2); \ C = 48 - B\\\\\Substitute \ the \ values \ of \ A \ and \ C \ into \ (3)\\\\(40-B) + B + (48-B) = 54\\\\simplify;\\\\(40 + 48) + (B-B-B)= 54\\\\88 -B = 54\\\\-B = 54-88\\\\-B = -34\\\\B = 34](https://tex.z-dn.net/?f=%5Cfrac%7BA%20%2B%20B%7D%7B2%7D%20%3D%2020%5C%5C%5C%5CA%2B%20B%20%3D%2040%20----%20%281%29%5C%5C%5C%5C%5Cfrac%7BB%20%2B%20C%7D%7B2%7D%20%3D%2024%5C%5C%5C%5CB%2B%20C%20%3D%2048----%282%29%5C%5C%5C%5C%5Cfrac%7BA%2B%20B%2B%20C%7D%7B3%7D%20%3D%2018%5C%5C%5C%5CA%2B%20B%2B%20C%3D%2054---%283%29%5C%5C%5C%5CFrom%20%281%29%3B%20%5C%20A%20%3D%2040%20-%20B%5C%5C%5C%5CFrom%282%29%3B%20%5C%20C%20%3D%2048%20-%20B%5C%5C%5C%5C%5CSubstitute%20%5C%20the%20%5C%20values%20%5C%20of%20%5C%20A%20%5C%20and%20%5C%20C%20%5C%20into%20%5C%20%283%29%5C%5C%5C%5C%2840-B%29%20%2B%20B%20%2B%20%2848-B%29%20%3D%2054%5C%5C%5C%5Csimplify%3B%5C%5C%5C%5C%2840%20%2B%2048%29%20%2B%20%28B-B-B%29%3D%2054%5C%5C%5C%5C88%20-B%20%3D%2054%5C%5C%5C%5C-B%20%3D%2054-88%5C%5C%5C%5C-B%20%3D%20-34%5C%5C%5C%5CB%20%3D%2034)
Recall; A = 40 - B
A = 40 - 34
A = 6
Also, C = 48 - B
C = 48 - 34
C = 14
Therefore, the mean of A and C is calculated as;
![= \frac{A + C}{2} \\\\= \frac{6 + 14}{2} \\\\= 10](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7BA%20%2B%20C%7D%7B2%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B6%20%2B%2014%7D%7B2%7D%20%5C%5C%5C%5C%3D%2010)
You subtract 4/9x frm 8/9x which is 4/9x = 8 then you multiply 9 to 8 so it is 4x = 72. After that, you divide 4 from 72 and get 18
So it would be $8.65/ 5lbs. And divide the top and the bottom by 5 and you get $1.73/ 1 lbs. I hope this helps!
Answer:
Step-by-step explanation:
g+366=42