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Sample response: The number of squares that are shaded, divided by 25, must equal 0.2, so the number of squares must be [tex]\(0.2 \times 25\)[/tex], which equals 5. The decimal 0.2 is equal to [tex]\(\frac{2}{10}\)[/tex], so 2 of every 10 squares must be shaded.

Which of the following did you consider in your response? Check all that apply.

- The number of shaded squares divided by the total number of squares is 0.2.
- The probability times the total number of squares will give the number of shaded squares.
- The number of shaded squares is 5.



Answer :

GinnyAnswer
Let's solve the problem step-by-step.

### Step-by-Step Solution:

1. Understanding the Given Information:
- We know that the number of shaded squares divided by the total number of squares is 0.2.
- This can be written as:
[tex]\[ \frac{\text{Number of Shaded Squares}}{\text{Total Number of Squares}} = 0.2 \][/tex]

2. Identifying the Total Number of Squares:
- The total number of squares is given as 25.

3. Setting Up the Equation:
- Let's denote the number of shaded squares as [tex]\( S \)[/tex].
- We can set up the following equation based on the given information:
[tex]\[ \frac{S}{25} = 0.2 \][/tex]

4. Solving the Equation for [tex]\( S \)[/tex]:
- To find [tex]\( S \)[/tex], we multiply both sides of the equation by 25:
[tex]\[ S = 0.2 \times 25 \][/tex]

5. Calculating the Number of Shaded Squares:
- Perform the multiplication:
[tex]\[ S = 5 \][/tex]

### Conclusion:
The number of shaded squares is 5.

### Reflections on the Considerations:

- The number of shaded squares divided by the total number of squares is 0.2:
- Yes, this was the starting point of our calculation.

- The probability times the total number of squares will give the number of shaded squares:
- Yes, this relationship helped us set up the multiplication to find the shaded squares.

- The number of shaded squares is 5:
- Yes, our final calculation confirms that the number of shaded squares is 5.

Hence, the result aligns with the considerations mentioned.