When online shopping, Alejandro takes 48 seconds to purchase one item. Complete the table with the amount of time it takes Alejandro to purchase 1, 2, 3, and 4 items.

1 item = 48

2 items = 96

3 items = 144

4 items = 192

Step-by-step explanation:

Because it takes him an additional 48 seconds to purchase each item we can write the equation 48x to represent this situation.

Plug in the number of items into x to solve.

1 x 48 = 48

2 x 48 = 96

3 x 48 = 144

4 x 48 = 192

answer: 193

explanation:

200-7 = 193

(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