let's firstly convert the mixed fractions to improper fractions and then simply get their difference, our denominators will be 8 and 2, so our LCD will be 8.
![\bf \stackrel{mixed}{27\frac{3}{8}}\implies \cfrac{27\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{219}{8}}~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{219}{8}-\cfrac{5}{2}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)219~~-~~(4)5}{8}}\implies \cfrac{219-20}{8}\implies \cfrac{199}{8}\implies 24\frac{7}{8}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B27%5Cfrac%7B3%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B27%5Ccdot%208%2B3%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B219%7D%7B8%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B5%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B219%7D%7B8%7D-%5Ccfrac%7B5%7D%7B2%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%208%7D%7D%7B%5Ccfrac%7B%281%29219~~-~~%284%295%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B219-20%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B199%7D%7B8%7D%5Cimplies%2024%5Cfrac%7B7%7D%7B8%7D)
The formula is <span>base × height / 2
So 8.7 x 15.6=135.72 / 2= 67.86
</span>
Answer: x=2
Step-by-step explanation:
Answer:
Step-by-step explanation:
No of sample space , n(s) = 12 + 11 + 17 + 5 = 45
No of favorable cases , n(e) = 17
Probability of getting blue marble ,
P(e) = n(e)/n(s)
= 17 / 45
NOW
Probability of not getting blue marble,
P'(e) = 1 - p(e)
= 1 - 17 / 45
= ( 45 - 17)/45
= 28 / 45
Hope it helped :)
Answer:
The nonpermissible replacement of the variable n is -4
Step-by-step explanation:
The nonpermissible replacement of the variable in a certain expression is the value of the variable that will make the denominator of the expression zero.
The expression
has the denominator 
This denominator cannot be equal zero, thus,
.