Ramona is walking 10,000 feet for a fund-raiser. She walks at a rate of 270 feet per minute. This situation is modeled by the equation d = 10,000 - 270t , where d represents the remaining number of feet Ramona has to walk and t represents the number of minutes she has already walked. Which table shows only values that satisfy only values that satisfy this equation?

J

Explanation:

It can't be F, G, or H because they are subtracting by greater numbers than 270

Since Romana starts at 10,000 feet and F and H start in the 9k's, they're incorrect.

H starts at 10,000 but since they're subtracting by 270, J is correct.

{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

answer: 3.26019516

step-by-step explanation: