Asurvey of sports fans reveals that 49 say their favorite sport is football, 35 say their favorite sport is baseball, 11 say their favorite sport is basketball, and 5 say their favorite sport is hockey. what is the ratio of football fans to hockey fans? a. 35 to 11 b. 49 to 16 c. 35 to 5 d. 49 to 5

49:5

Explanation

Write the quantity of fans in the order of which you are doing the ratio for (TIP - Replace the word "to" with ":") = Football Fans : Hockey Fans = 49:5

{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

1. perpendicular

2. parallel

3. perpendicular