12 - 3 = 9
So there are 9/12 cookies left.
So then John ate 3/12 cookies.
3/12 = 1/4
Convert into a decimal. .
1/4 = 0.25
0.25 = 25%
So, James bought 12 cookies and ate 3 of them. He ate 25% of the cookies.
let's firstly convert the mixed fractions to improper fractions and then get their difference.
![\stackrel{mixed}{8\frac{7}{8}}\implies \cfrac{8\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{71}{8}} ~\hfill \stackrel{mixed}{6\frac{3}{4}}\implies \cfrac{6\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{27}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{71}{8}-\cfrac{27}{4}\implies \cfrac{1(71)~~ -~~2(27)}{\underset{\textit{using this LCD}}{8}}\implies \cfrac{71-54}{8}\implies \cfrac{17}{8}\implies 2\frac{1}{8}](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B8%5Cfrac%7B7%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B8%5Ccdot%208%2B7%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B71%7D%7B8%7D%7D%20~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B6%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B6%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B27%7D%7B4%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B71%7D%7B8%7D-%5Ccfrac%7B27%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B1%2871%29~~%20-~~2%2827%29%7D%7B%5Cunderset%7B%5Ctextit%7Busing%20this%20LCD%7D%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B71-54%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B17%7D%7B8%7D%5Cimplies%202%5Cfrac%7B1%7D%7B8%7D)
Answer:
(a) Output = 37
(b) Input = 9
Step-by-step explanation:
Given

Solving (a): Output, when input = 8
This means that, we solve for y when x = 8
So, we have:




Solving (b): Input, when output = 42
This means that, we solve for x when y = 42
So, we have:


Collect like terms


Divide both sides by 5

Your answer is B because in order for it to be a scatter plot it has to have 2 points going through the line