Alan's wife sends him to the store to buy pickles and ice cream. ice cream cost 5 dollars per pound and pickles costs 2 dollars per pound. alan has 40 dollars in his wallet.

let x be the number of pounds of ice cream and y be the number of pounds of pickles that alan purchases. state the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y. express your answer with the standard form ax+by on the left side.

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of pounds of ice cream

y ----> the number of pounds of pickles

we know that

The number of pounds of ice cream multiplied by 5 dollars per pound plus the number of pounds of pickles multiplied by 2 dollars per pound must be equal at most to $40

so

The inequality that represent this situation is

using a graphing tool

The solution is the triangular shaded area

Remember that the number of pounds cannot be a negative number

see the attached figure

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.