Question

PLEASE HELP ME ANSWER THIS ASAP

Answer 1

9

Explanation:

smal,

Answer 2

The model comprises four boxes, two each of 100 and 50. The multiplication equation is 2 × 100 + 2 × 50, resulting in 300. The division equation, representing the area ratio, is 2.

Let's break down the given model into multiplication and division equations step by step.

Multiplication Equation:

The model shows 4 boxes, where two boxes are labeled "100" and two boxes are labeled "50."

Let's represent the number of boxes labeled "100" as a and the number of boxes labeled "50" as b.

The multiplication equation for the model is:

`\[a * 100 + b * 50\]`

Since there are two boxes labeled "100," a is 2. Since there are two boxes labeled "50," b is also 2.

Substitute these values into the equation:

`\[2 * 100 + 2 * 50\]`

Simplify:

200 + 100

The result is:

300

So, the multiplication equation representing the model is 300.

Division Equation:

Now, let's represent the model using a division equation.

The model shows two different box dimensions:

-
`\(100 : 10 * 10\)`

-
`\(50 : 10 * 5\)`

Let's represent the total area of the boxes labeled "100" as
`\(A_(100)\)` and the total area of the boxes labeled "50" as
`\(A_(50)\)`.

The division equation for the model is:

`\[(A_(100))/(A_(50))\]`

For the boxes labeled "100," the area is
`\(10 * 10 = 100\)`. Since there are two such boxes,
`\(A_(100) = 2 * 100\)`.

For the boxes labeled "50," the area is
`\(10 * 5 = 50\)`. Since there are two such boxes,
`\(A_(50) = 2 * 50\)`.

Substitute these values into the equation:

`\[(2 * 100)/(2 * 50)\]`

Simplify:

`\[(200)/(100)\]`

The result is: 2

So, the division equation representing the model is 2.