One positive number is 8 more than twice another. if the product is 731

-5738

Step-by-step explanation:

One positive number "y" is 6 more than twice another "x"

Equation 1:  y = 2x + 8

Their product is 731, therefore...

Equation 2: x * y = 731

Substitute

New Equation: x(2x + 8) = 731

Solve

x (2x + 8) = 731       Perform the multiplication by distributing the x

+ 8x = 731         Divide entire equation by 2, the coefficient of x2

+ 4x = 365.5             Set equation (it is a quadratic) to 0 in order to solve by subtracting 365.5 from both sides

+ 4x - 365.5 = 0        We can solve this using the Quadratic Formula or by Factoring.

Factoring

+ 4x - 365.5 = 0      Solve by Factoring

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: