The perimeter of a triangle is 31 the shortest side is 10 inches less than the longest side and the third side is 4 inches less than the longest side find the length of each side.

Shortest side = 5 units

Longest side = 15 units

Third side = 11 units

Step-by-step explanation:

To solve this, we write down each equation. I'll be using the variable a for the short side, b for the long side, and c for the third side:

a + b + c = 31 units

a = b - 10

c = b - 4

To solve for b, the long side, we can simply substitute a and c for their equivalent parts involving b into the original perimeter equation like so:

(b - 10) + b + (b - 4) = 31 units

Now we can solve for b by simplifying the equation above:

3b - 14 = 31 units

Simplify some more by adding 14 to both sides of the equation..

3b = 45 units

And finally divide both sides by 3 to get:

b = 15 units

Now we can take the value of b and plug it into the equations involving a and c to solve for those:

a = 15 units - 10 units

Simplified:

a = 5 units

And

c = 15 units - 4 units

Simplified:

c = 11 units

15 units use socratic

step-by-step explanation: 15 units

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00