two times one number added to four times another gives 34. The sum of the two numbers is 13. Find the numbers

9 and 4

Step-by-step explanation:

let the 2 numbers be x and y, then

2x + 4y = 34 → (1)

x + y = 13 → (2)

Rearrange (2) expressing y in terms of x by subtracting x from both sides

y = 13 - x → (3)

Substitute y = 13 - x into (1)

2x + 4(13 - x) = 34 ← distribute and simplify left side

2x + 52 - 4x = 34

- 2x + 52 = 34 ( subtract 52 from both sides )

- 2x = - 18 ( divide both sides by - 2

x = 9

Substitute x = 9 into (3)

y = 13 - 9 = 4

The 2 numbers are 9 and 4

351.23

step-by-step explanation:

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: