4. The perimeter of a rectangle is 42 yards.
The difference of the length and width of
the rectangle is 7 yards. Find the length
and width.

Step-by-step explanation:

Let width = x

Length = 7 + x

Perimeter = 42 yards

2*(length + width) = 42

2* ( 7 + x + x) = 42

7 + 2x = 42/2

7 + 2x = 21

2x = 21 - 7

2x = 14

x = 14/2

x = 7

Width = 7 yards

Length = 7 + 7 = 14 yards

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:

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: