Which equation correctly applies the distributive property? a. −1.2 ⋅ 0.57 ⋅ 0.5 = −1.2 ⋅ 0.5 ⋅ 0.57 b. 50 + 1.015 = (50⋅1) + (50 ⋅ 0.01) + (50 ⋅ 0.005) c. −2.5 ⋅ (4 ⋅ 1.045) = (−2.5 ⋅ 4) ⋅ 1.045 d.(0.5 ⋅ 0.5) + (0.5 ⋅ 0.3) + (0.5 ⋅ 0.2) = 0.5 ⋅ (0.5 + 0.3 + 0.2)

{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

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24