Answer:
Shop 1 = $260 + $20m
Shop 2 = $140 + $30m
Step-by-step explanation:
m = number of months payments are made
Total payment made = down payment + monthly payment
Shop 1 requires $260 down and a monthly payment of $20.
Shop 1 = $260 + $20m
= 260 + 20m
Shop 2 requires $140 down and a monthly payment of $30.
Shop 2 = $140 + $30m
= 140 + 30m
The equations that represent the payments plans are:
Shop 1 = $260 + $20m
Shop 2 = $140 + $30m
Answer:
8 meals x 140 boys =1120 food
140boys +84 boys =224 boys
1120 food ÷224 boys = 5 meals
5meals to supply each boy
15 - 2m = how much she has left.
so 15 minus 2 times the cost per book will tell you how much she has left.
the idea behind the recurring decimal as a fraction, is to first off, multiply or divide by some power of 10, in order that we leave the recurring decimal to the right of the decimal point.
then we multiply by a power of 10, in order to move the repeating digits to the left of the decimal point, anyhow, let's proceed.
![\bf 0.6\overline{1212}\implies \cfrac{06.\overline{1212}}{10}\implies \cfrac{6+0.\overline{1212}}{10}\qquad \qquad \stackrel{\textit{now let's make}}{x=0.\overline{1212}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} 100\cdot x &=& 12.\overline{1212}\\\\ &&12+0.\overline{1212}\\\\ &&12+x\\\\ 100x&=&12+x\\\\ 99x&=&12\\\\ x&=&\cfrac{12}{99}\implies x = \cfrac{4}{33} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%200.6%5Coverline%7B1212%7D%5Cimplies%20%5Ccfrac%7B06.%5Coverline%7B1212%7D%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B6%2B0.%5Coverline%7B1212%7D%7D%7B10%7D%5Cqquad%20%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Bnow%20let%27s%20make%7D%7D%7Bx%3D0.%5Coverline%7B1212%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Bllll%7D%20100%5Ccdot%20x%20%26%3D%26%2012.%5Coverline%7B1212%7D%5C%5C%5C%5C%20%26%2612%2B0.%5Coverline%7B1212%7D%5C%5C%5C%5C%20%26%2612%2Bx%5C%5C%5C%5C%20100x%26%3D%2612%2Bx%5C%5C%5C%5C%2099x%26%3D%2612%5C%5C%5C%5C%20x%26%3D%26%5Ccfrac%7B12%7D%7B99%7D%5Cimplies%20x%20%3D%20%5Ccfrac%7B4%7D%7B33%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \cfrac{06.\overline{1212}}{10}\implies \cfrac{6+x}{10}\implies \cfrac{6+\frac{4}{33}}{10}\implies \cfrac{~~\frac{202}{33}~~}{10}\implies \cfrac{~~\frac{202}{33}~~}{\frac{10}{1}}\implies \cfrac{202}{330} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{101}{165}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B06.%5Coverline%7B1212%7D%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B6%2Bx%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B6%2B%5Cfrac%7B4%7D%7B33%7D%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B~~%5Cfrac%7B202%7D%7B33%7D~~%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B~~%5Cfrac%7B202%7D%7B33%7D~~%7D%7B%5Cfrac%7B10%7D%7B1%7D%7D%5Cimplies%20%5Ccfrac%7B202%7D%7B330%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20%5Ccfrac%7B101%7D%7B165%7D~%5Chfill)
notice, we first divided by 10, to move the decimal point over to the right by 1 slot, then we multiplied by 100, to move it two digits over the decimal point, namely the repeating "12", thus we use 100.
77+78+79+80=314 Is Your Answer