Hey Guys I need HELP and fast please. My teacher doesn't teacher and she gave us a project. I also need to show my work. A patient is told to avoid caffeine for 8 to 12 hours before a blood test scheduled for 6 a. m. The blood test is reliable for up to 50 milligrams of caffeine in the bloodstream. The patient’s body metabolizes caffeine at a rate of 13% per hour. a. At 10 p. m., the patient drinks a cup of coffee containing 150 milligrams of caffeine. Will the patient be ready for the blood test by 6 a. m.? Explain. b. How many milligrams of caffeine could the patient have ingested at 7 p. m. and been ready for the blood test at 6 a. m.?

thats not a system of equations, that is a solution

(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