answer the original number is 6
(5x + 2 - 10) *2 = 44
10x + -16 = 44
10x = 60
x=6
1/7
Step-by-step explanation:
we have 4 gals, Stephanie, Andrea, Emily and Becca.
btw the end point should be (-6, -7) and the start point is (8, 6).
so, if we know the distance between those two points, we can just cut it in 4 equal pieces and each gal will be driving a piece.
now, Emily's turn is after Andrea, BUT, we had first Stephenie driving ¼ of the way, then Andrea driving ¼ of the way too, but after ¼+¼, Emily comes on, but ¼+¼ is really 1/2, so when Emily starts, is really half-way through, or the midpoint of that distance.
![\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ \stackrel{\textit{Hometown}}{(\stackrel{x_1}{8}~,~\stackrel{y_1}{6})}\qquad \stackrel{\textit{San Antonio}}{(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-7})} \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-6+8}{2}~~,~~\cfrac{-7+6}{2} \right)\implies \left(\cfrac{2}{2}~,~\cfrac{-1}{2} \right)\implies \stackrel{\textit{Emily starts off}}{\left(1~,-\frac{1}{2} \right)}](https://tex.z-dn.net/?f=%20%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bmiddle%20point%20of%202%20points%20%7D%0A%5C%5C%5C%5C%0A%5Cstackrel%7B%5Ctextit%7BHometown%7D%7D%7B%28%5Cstackrel%7Bx_1%7D%7B8%7D~%2C~%5Cstackrel%7By_1%7D%7B6%7D%29%7D%5Cqquad%0A%5Cstackrel%7B%5Ctextit%7BSan%20Antonio%7D%7D%7B%28%5Cstackrel%7Bx_2%7D%7B-6%7D~%2C~%5Cstackrel%7By_2%7D%7B-7%7D%29%7D%0A%5Cqquad%0A%5Cleft%28%5Ccfrac%7B%20x_2%20%2B%20x_1%7D%7B2%7D~~~%20%2C~~~%20%5Ccfrac%7B%20y_2%20%2B%20y_1%7D%7B2%7D%20%5Cright%29%0A%5C%5C%5C%5C%5C%5C%0A%5Cleft%28%20%5Ccfrac%7B-6%2B8%7D%7B2%7D~~%2C~~%5Ccfrac%7B-7%2B6%7D%7B2%7D%20%5Cright%29%5Cimplies%20%5Cleft%28%5Ccfrac%7B2%7D%7B2%7D~%2C~%5Ccfrac%7B-1%7D%7B2%7D%20%5Cright%29%5Cimplies%20%5Cstackrel%7B%5Ctextit%7BEmily%20starts%20off%7D%7D%7B%5Cleft%281~%2C-%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%7D%20)
Emily's turn ends ¼ of the way later, which will be pretty much half-way in between (1, -½) and (-6, -7), so is really the midpoint of those two.
![\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{-\frac{1}{2}})\qquad \stackrel{\textit{San Antonio}}{(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-7})} \\\\\\ \left( \cfrac{-6+1}{2}~~,~~\cfrac{-7-\frac{1}{2}}{2} \right)\implies \left( \cfrac{-5}{2}~,~\cfrac{~\frac{-14-1}{2}~}{2} \right)\implies \left( \cfrac{-5}{2}~,~\cfrac{~\frac{-15}{2}~}{2} \right) \\\\\\ \left( \cfrac{-5}{2}~,~\cfrac{-15}{4} \right)\implies \left( -2\frac{1}{2}~,~-3\frac{3}{4} \right)](https://tex.z-dn.net/?f=%20%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bmiddle%20point%20of%202%20points%20%7D%0A%5C%5C%5C%5C%0A%28%5Cstackrel%7Bx_1%7D%7B1%7D~%2C~%5Cstackrel%7By_1%7D%7B-%5Cfrac%7B1%7D%7B2%7D%7D%29%5Cqquad%0A%5Cstackrel%7B%5Ctextit%7BSan%20Antonio%7D%7D%7B%28%5Cstackrel%7Bx_2%7D%7B-6%7D~%2C~%5Cstackrel%7By_2%7D%7B-7%7D%29%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cleft%28%20%5Ccfrac%7B-6%2B1%7D%7B2%7D~~%2C~~%5Ccfrac%7B-7-%5Cfrac%7B1%7D%7B2%7D%7D%7B2%7D%20%5Cright%29%5Cimplies%20%5Cleft%28%20%5Ccfrac%7B-5%7D%7B2%7D~%2C~%5Ccfrac%7B~%5Cfrac%7B-14-1%7D%7B2%7D~%7D%7B2%7D%20%5Cright%29%5Cimplies%20%5Cleft%28%20%5Ccfrac%7B-5%7D%7B2%7D~%2C~%5Ccfrac%7B~%5Cfrac%7B-15%7D%7B2%7D~%7D%7B2%7D%20%5Cright%29%0A%5C%5C%5C%5C%5C%5C%0A%5Cleft%28%20%5Ccfrac%7B-5%7D%7B2%7D~%2C~%5Ccfrac%7B-15%7D%7B4%7D%20%5Cright%29%5Cimplies%20%5Cleft%28%20-2%5Cfrac%7B1%7D%7B2%7D~%2C~-3%5Cfrac%7B3%7D%7B4%7D%20%5Cright%29%20)
Answer:
d. 2
Step-by-step explanation:
if you have to find the input just do the output divided by the muliply by which gives you the input