Asport store donates basketballs and soccer balls to the boys and girls club. the ratio of basketballs to soccer balls is 7 : 6. the store donates 24 soccer balls. how many basketballs does the store donate? explain step by step.

there are 28 basketballs donated

Step-by-step explanation:

basketballs     7                     x

= =

soccer               6                     24

using cross products

7 * 24 = 6 * x

divide by 6

7*24/6 = 6*x/6

7 * 4 = x

28 =x

there are 28 basketballs donated

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

{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