My Answer: Pentagons( First image)
Hope I helped! :D
let's firstly convert the mixed fractions to improper fractions, and then add them up.
![\bf \stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{17}{2}}~\hfill \stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{17}{2}+\cfrac{23}{3}\implies \stackrel{\textit{using the LCD of 6}}{\cfrac{(3)17~~+~~(2)23}{6}}\implies \cfrac{51+46}{6}\implies \cfrac{97}{6}\implies 16\frac{1}{6}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B8%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B8%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B17%7D%7B2%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B7%5Cfrac%7B2%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B7%5Ccdot%203%2B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B23%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B17%7D%7B2%7D%2B%5Ccfrac%7B23%7D%7B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%206%7D%7D%7B%5Ccfrac%7B%283%2917~~%2B~~%282%2923%7D%7B6%7D%7D%5Cimplies%20%5Ccfrac%7B51%2B46%7D%7B6%7D%5Cimplies%20%5Ccfrac%7B97%7D%7B6%7D%5Cimplies%2016%5Cfrac%7B1%7D%7B6%7D)
19 or 19/1
Hope this helped!
Answer:
Step-by-step explanation:
7. Let the price of book be x
:- 8x + 17 = 129
8x = 129 - 17
8x = 112
x = 112/8
x = $14
Each book cost $14
8. Let the number of hours be x
9x + 15 = 87
9x = 87 - 15
9x = 72
x = 72/9
x = 8hrs
He paid for 8hours
9. Let the numbers be x, x +2, x +4,
So. x + x + 2 + x + 4 = 168
3x + 6 = 168
3x = 168 - 6
3x = 162
x = 162/3
x = 54
The smallest number is 54
10. Let the number of books be x
So, x/2 + 6 = 18
x/2 = 18 - 6
x/2 = 12
x = 12 ×2
x = 24
So she has 24 book's before
For an increase of 15% you would add the increase percentage to 1 and multiply that by number of years.
So the multiplication rate would be 1.15
The answers are cut off in the picture, but the one with 1.15 is the top left answer.