let's first off convert the 0.6 to a fraction, and then let's keep in mind that
Standard Form of a Linear Equation
- variables must be on the left-hand-side, usually sorted in ascending order
- there must not be any fractions, just integers
- the variable "x" must not have a negative coefficient.
![\bf 0.\underline{6}\implies \cfrac{06}{1\underline{0}}\implies \cfrac{3}{5}\impliedby m = slope ~\hspace{12em} (\stackrel{x_1}{1}~,~\stackrel{y_1}{24}) \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-24=\cfrac{3}{5}(x-1)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5y-120=3(x-1)} \\\\\\ 5y-120=3x-3\implies -3x+5y=117\implies \stackrel{\textit{standard form}}{3x-5y=-117}](https://tex.z-dn.net/?f=%5Cbf%200.%5Cunderline%7B6%7D%5Cimplies%20%5Ccfrac%7B06%7D%7B1%5Cunderline%7B0%7D%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B5%7D%5Cimpliedby%20m%20%3D%20slope%0A~%5Chspace%7B12em%7D%0A%28%5Cstackrel%7Bx_1%7D%7B1%7D~%2C~%5Cstackrel%7By_1%7D%7B24%7D%29%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%0A%5Ccline%7B1-1%7D%0A%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%0A%5Ccline%7B1-1%7D%0A%5C%5C%0Ay-y_1%3Dm%28x-x_1%29%0A%5C%5C%5C%5C%0A%5Ccline%7B1-1%7D%0A%5Cend%7Barray%7D%5Cimplies%20y-24%3D%5Ccfrac%7B3%7D%7B5%7D%28x-1%29%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B5%7D%7D%7B5y-120%3D3%28x-1%29%7D%0A%5C%5C%5C%5C%5C%5C%0A5y-120%3D3x-3%5Cimplies%20-3x%2B5y%3D117%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bstandard%20form%7D%7D%7B3x-5y%3D-117%7D)
Answer:
Part 1) The rate is 
Part 2) 
Step-by-step explanation:
Part 1)
we know that
A cyclist rides her bike at a rate of 12 meters per second
Remember that
1 hour=3,600 seconds
1 kilometer=1,000 meters
therefore
Part 2) How many kilometers will the cyclist travel in 3 hours?
using proportion
Each classroom has received 184 & 8 books are being left
It’s probably 10 given proof
