Kaelyn bought a soda and two bags of popcorn for $3 her brother bought three sodas in a bag of popcorn for $6.50

The value of x and y is and

Step-by-step explanation:

Let x denote the sodas.

Let y denote the bags of popcorn.

Given: Kaelyn bought a soda and two bags of popcorn for $3. Writing this as equation,

Her brother bought three sodas in a bag of popcorn for $6.50. Writing this as equation,

Using substitution method, let us find the value of x from the equation by subtracting 2y from both sides of the equation, we get,

Now, substituting the value of x in , we get,

Subtracting 9 from both sides of the equation, we get,

Now, substituting the value of in , we get

Thus, the value of x and y is and

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.