You need two pieces and 1 has to be 2x longer than the other
set x as the smaller piece (easier to always go with the smaller value as x)
the other piece is 2x (double in size)
your equations would be 3x=240>>> x= 60
so smaller piece/ x= 60
bigger piece/ 2x= 120
The answer is B and I am happy to help you out
To answer the problem above, we must first define the word break even. Break even means there is no gain or loss, the difference between the capital amount and the sale amount is zero. In equation, let x be the number of pies. 5x + 30 = 12x, $5 times the number of pies plus $30 is equal to $12 times the number of pies sold. The answer is letter C.
isosceles trapezoid
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we'll do the same as before, turning the mixed fractions to improper and do the division, keeping in mind that is simply asking how many times 1⅕ goes into 8⅔.
![\bf \stackrel{mixed}{8\frac{2}{3}}\implies \cfrac{8\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{26}{3}}\\\\\\\stackrel{mixed}{1\frac{1}{5}}\implies \cfrac{1\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{6}{5}}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\\cfrac{26}{3}\div \cfrac{6}{5}\implies \cfrac{26}{3}\cdot \cfrac{5}{6}\implies \cfrac{130}{18}\implies \cfrac{126+4}{18}\implies \cfrac{126}{18}+\cfrac{4}{18}\\\\\\\boxed{7+\cfrac{4}{18}}\implies 7\frac{4}{18}](https://tex.z-dn.net/?f=%20%5Cbf%20%5Cstackrel%7Bmixed%7D%7B8%5Cfrac%7B2%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B8%5Ccdot%203%2B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B26%7D%7B3%7D%7D%5C%5C%5C%5C%5C%5C%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B1%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%205%2B1%7D%7B5%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B6%7D%7B5%7D%7D%5C%5C%5C%5C%5B-0.35em%5D%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%5Ccfrac%7B26%7D%7B3%7D%5Cdiv%20%5Ccfrac%7B6%7D%7B5%7D%5Cimplies%20%5Ccfrac%7B26%7D%7B3%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B6%7D%5Cimplies%20%5Ccfrac%7B130%7D%7B18%7D%5Cimplies%20%5Ccfrac%7B126%2B4%7D%7B18%7D%5Cimplies%20%5Ccfrac%7B126%7D%7B18%7D%2B%5Ccfrac%7B4%7D%7B18%7D%5C%5C%5C%5C%5C%5C%5Cboxed%7B7%2B%5Ccfrac%7B4%7D%7B18%7D%7D%5Cimplies%207%5Cfrac%7B4%7D%7B18%7D%20)