Question

The hanger image below represents a balanced equation.       A balanced hanger diagram. The left side has 1 square labeled 1 fifth and 1 triangle labeled z. The right side has 1 square labeled 3 fifths. Write an equation to represent the image.

Answer 1

Explanation:

Answer 2

The balanced hanger diagram can be represented by the following equation: 1/5 + z = 3/5

Writing an equation to represent the hanger image.

Break down the components of the equation:

1. Left Side:

1/5: represents one-fifth of a unit, which is a square on the left side of the hanger.

z: represents the triangle labeled with the variable (z) on the left side.

2. Right Side:

3/5: represents three-fifths of a unit, which is a square on the right side of the hanger.

The equation 1/5 + z = 3/5 expresses that the sum of one-fifth of a unit (the square) and the value represented by z (the triangle) on the left side is equal to three-fifths of a unit on the right side.

In summary, if you have one-fifth of a unit (represented by the square) on the left side and an additional weight z (represented by the triangle), it is equivalent to having three-fifths of a unit on the right side. The equation captures the balance of weights on both sides of the hanger.