Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-x + 3y = 4
-7x + 12y = 12

One solution

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

The solution set of the systems of equations would be where the 2 lines intersect. If the 2 lines do not intersect (i.e they are parallel lines), then they will have no solution. If the 2 lines look exactly the same, then they will have infinitely many solutions.

From the graph, we see that the lines intersect once. Therefore, the systems has 1 solution.

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:

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.