9x+13=2x+48
-2x -2x
7x+13=48
-13 -13
7x=35
/7 /7
x=5
y=9(5)+13
y=45+13
y=58
3 feet= 1 yard
16*3= 48 feet.
47.52/48= 0.99
It will cost Brian $0.99 per foot.
Find the unit rate.
49.50/50= 0.99
No, it wouldn't. It would be the <em>same price
0.99=0.99 It doesn't matter which one Brian chose. </em>
I hope this helps!
~kaikers
Answer:
d = 5/6t
Step-by-step explanation:
5 stories every 6 seconds
at 12 seconds, it would have travelled 10 seconds.
using this 2 data in this formula
(y-y1)/(x-x1) = (y2-y1)/(x2-x1)
Note : d = y, t = x;
d1 = 5, t1 = 6, d2 = 10, t2 = 12
we have
(d - 5)/(t-6) = (10-5)/(12-6)
(d - 5)/(t-6) = 5/6
d = 5/6(t-6) + 5
d = 5/6t -5+5
d = 5/6t
![\bf \begin{array}{cccccclllll} \textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\ \textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\ y&=&{{ k}}&\cdot&x && y={{ k }}x \end{array}\\ \quad \\ ](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bcccccclllll%7D%0A%5Ctextit%7Bsomething%7D%26%26%5Ctextit%7Bvaries%20directly%20to%7D%26%26%5Ctextit%7Bsomething%20else%7D%5C%5C%20%5Cquad%20%5C%5C%0A%5Ctextit%7Bsomething%7D%26%3D%26%7B%7B%20%5Ctextit%7Bsome%20value%7D%7D%7D%26%5Ccdot%20%26%5Ctextit%7Bsomething%20else%7D%5C%5C%20%5Cquad%20%5C%5C%0Ay%26%3D%26%7B%7B%20k%7D%7D%26%5Ccdot%26x%0A%26%26%20%20y%3D%7B%7B%20k%20%7D%7Dx%0A%5Cend%7Barray%7D%5C%5C%20%5Cquad%20%5C%5C%0A)
and also
![\bf \begin{array}{llllll} \textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\ \textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\ y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x} &&y=\cfrac{{{ k}}}{x} \end{array} ](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bllllll%7D%0A%5Ctextit%7Bsomething%7D%26%26%5Ctextit%7Bvaries%20inversely%20to%7D%26%5Ctextit%7Bsomething%20else%7D%5C%5C%20%5Cquad%20%5C%5C%0A%5Ctextit%7Bsomething%7D%26%3D%26%5Ccfrac%7B%7B%7B%5Ctextit%7Bsome%20value%7D%7D%7D%7D%7B%7D%26%5Ccfrac%7B%7D%7B%5Ctextit%7Bsomething%20else%7D%7D%5C%5C%20%5Cquad%20%5C%5C%0Ay%26%3D%26%5Ccfrac%7B%7B%7B%5Ctextit%7Bk%7D%7D%7D%7D%7B%7D%26%5Ccfrac%7B%7D%7Bx%7D%0A%26%26y%3D%5Ccfrac%7B%7B%7B%20%20k%7D%7D%7D%7Bx%7D%0A%5Cend%7Barray%7D%0A)
now, we know that V varies directly to T and inversely to P simultaneously
thus
![\bf V=T\cdot \cfrac{k}{P}](https://tex.z-dn.net/?f=%5Cbf%20V%3DT%5Ccdot%20%5Ccfrac%7Bk%7D%7BP%7D)
so