Answer:
![\large\boxed{m=\dfrac{V+y-3x}{2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bm%3D%5Cdfrac%7BV%2By-3x%7D%7B2%7D%7D)
Step-by-step explanation:
![3x+2m-y=V\qquad\text{add}\ y\ \text{to both sides}\\\\3x+2m-y+y=V+y\\\\3x+2m=V+y\qquad\text{subtract}\ 3x\ \text{From both sides}\\\\3x-3x+2m=V+y-3x\\\\2m=V+y-3x\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{V+y-3x}{2}\\\\m=\dfrac{V+y-3x}{2}](https://tex.z-dn.net/?f=3x%2B2m-y%3DV%5Cqquad%5Ctext%7Badd%7D%5C%20y%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5C3x%2B2m-y%2By%3DV%2By%5C%5C%5C%5C3x%2B2m%3DV%2By%5Cqquad%5Ctext%7Bsubtract%7D%5C%203x%5C%20%5Ctext%7BFrom%20both%20sides%7D%5C%5C%5C%5C3x-3x%2B2m%3DV%2By-3x%5C%5C%5C%5C2m%3DV%2By-3x%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%202%7D%5C%5C%5C%5C%5Cdfrac%7B2m%7D%7B2%7D%3D%5Cdfrac%7BV%2By-3x%7D%7B2%7D%5C%5C%5C%5Cm%3D%5Cdfrac%7BV%2By-3x%7D%7B2%7D)
Answer:
Option C
Step-by-step explanation:
Got it on the unit test in edge
Sum of three numbers is 33 and sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.
As given,
Let a-d, a, a +d be three numbers
Sum =33
⇒a-d + a +a +d =33
⇒ a =11
Sum of cubes= 5049
⇒ (a-d)³ + a +(a +d)³ =5049
⇒ a³ -d³ -3a²d +3ad² + a³ +a³ +d³ +3a²d +3ad² =5049
⇒3a³ + 6ad² = 5049
⇒ d=± 4
Therefore, sum of three numbers is 33 and sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.
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Answer:
40%
Step-by-step explanation:
percent change in Mike's long distance runs = (change in miles ran / initial longest mile ran) x 100
change in miles ran = new personal record - initial personal record
14 - 10 = 4
(4/10) x 100 = 40%
0.12 x 2984 or 12 x 2984 divided by 100 so 12 x 2984 = 35808 divided by 100 = 358.08 aka $358. 08