The sum of 5 consecutive even numbers is 100 ples help :/

Consecutive even numbers are numbers that go in order, such as 1,2,3,4,5.

There are 5 even numbers.

They would be x, x+2, x+4, x+6, and x+8 (you add 2 each time so they are even).

Now when adding all these numbers, you get 100.

So there's your equation.

x+x+2+x+4+x+6+x+8=100

Add like terms.

5x+20=100

Solve for x.

5x=80

x=16

So the first number is 16.

The second is 18.

Third is 20.

Fourth, 22.

And fifth, 24.

You can add them to see if you are correct.

16+18+20+22+24=100

The numbers are 16,18,20,22, and 24.

{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

if you're trying to figure out how much each ounce cost it would be 0.20

cents each ounce