Consider the system of linear equations. x+y=9.0

0.50x + 0.20y = 4.05

Find the values of x and y.

x = 7.5

y = 1.5

x + y = 9.0  => x = 9 - y

0.50x + 0.20y = 4.05

0.5(9 - y) + 0.2y = 4.05

4.5 - 0.5y + 0.2y = 4.05

4.5 - 4.05 = 0.5y - 0.2y

0.45 = 0.3y

y = 0.45 : 0.3

y = 1.5

x = 9 - 1.5

x = 7.5

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

is means division by fractions

step-by-step explanation: