1/3z=-5 solve the equation for the value of the variable show all work

z=-15

Step-by-step explanation:

Multiply both sides by 3:

z=-15

z = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

1/3z = -5

Step 2: Solve for z

Step 3: Check

Plug in z into the original equation to verify it's a solution.

Here we see that -5 does indeed equal -5.

∴ z = -15 is the solution to the equation.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6