The art store sells three types of art pencil sets. the profit is $8.45 on watercolor pencil sets, $6.19 on pastel pencil sets and $4.62 on charcoal pencil sets. there are two branches of the art store. the number of sales of pencil sets for each store are shown in the table below. set type sales for westside branch sales for downtown branch watercolor 132 74 pastel 56 48 charcoal 119 126 which store had the most profit and what was the total profit of that store? a. westside - $1504.54 b. westside - $2011.82 c. downtown - $1504.54 d. downtown - $2011.82

Option b. Westside = $2011.82

Step-by-step explanation:

Sales of pencil sets for each store are shown in the table :

Pencil sets             Westside Branch sales           Downtown Branch sales

Watercolor                         132                                          74

Pastel pencil                       56                                           48

Charcoal pencil                  119                                          126

Now we will make a table for the profit of each branch for each pencil set by dividing the sales of pencil sets by its profit.

Pencil sets             Westside Branch profit           Downtown Branch profit

Watercolor                         1,115.40                                      625.30

Pastel pencil                       346.64                                       297.12

Charcoal pencil                 549.78                                        582.12

Total profit                           2011.82                                      1504.54

Therefore, we can clearly see The profit of Westside branch is $2011.82 which is more than the profit of downtown branch profit.

So Option b. Westside = $2011.82 is the correct answer.

i think it might be a but you might want a second opinion

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240