Answer: 24%
Step-by-step explanation:
2610+8120 = The undergraduates and graduates combined.
That is 10730. You are figuring out the probability the student is a graduate when those two graduates are combined, because that is all the data given. So you would do 2610/10730 in your calculator, resulting in 24.324324324%. As it says rounded to the nearest percent in parentheses, it has to round to the whole number, 24%, and .3 rounds down.
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)
Logically if you double weight on something it means that you are adding the exact same weight as the first object to the same thing to make it twice the weight as the original, so yes... the weight will double if the length is doubled
As it says, set up the equation
7(x - 4) = 84
the parentheses mean you multiply, so it is really
7 × (x - 4) = 84
Now, find how many people are left after the 4 people canceled84 ÷ 7 = 12
There are 12 people
Now, add the 4 people that canceled
12 + 4 = 16
Answer:
x = 16 people
There was 16 people originally going skating.
