A medication has a half-life of 4 hours after it enters the bloodstream. A nurse administers a dose of 500 milligrams to a patient at noon. Find the amount of medication, in milligrams (mg), remaining in the patient's body at: (Round to the nearest 10th)
3 p. m. on the same day
8 p. m. on the same day
The expression LaTeX: 500 \cdot \left(\frac12\right)^{\frac54}500 ⋅ ( 1 2 ) 5 4 represents the amount of medicine in the body some time after it is administered. What is that time? (Make sure to signify am or pm)

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{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

5/20 so 25%

step-by-step explanation: