https://file.aiquickdraw.com/mathbot/file/1727093137634864ggj8o.jpg

Let's begin by solving problem 13:

The equation provided is:

\[
38 + 427 + P = 475
\]

### Step-by-step solution:
1. Add the known numbers: 
   \[
   38 + 427 = 465
   \]

2. Now the equation becomes:
   \[
   465 + P = 475
   \]

3. Subtract 465 from both sides to solve for \(P\):
   \[
   P = 475 - 465 = 10
   \]

Thus, the value of \(P\) is **10**.

---

For problem 15:

The question asks, "The number 57 is between which pair of numbers?"

- Clearly, 57 is between **50 and 60**, so the correct answer is **B**.

Would you like any more details on these solutions or have additional questions?

### Related questions:
1. If \(38 + 427 + P = 500\), what would be the value of \(P\)?
2. How would you solve if the equation was \(38 + x + P = 475\) with another unknown \(x\)?
3. What if the equation was \(38 + 427 + P = 450\)? How would you find \(P\)?
4. Is it always true that you can subtract the sum from the total to find the unknown?
5. In question 15, what if the number was 67 instead of 57? What would the answer be?

**Tip**: When solving simple equations with an unknown, first simplify by combining like terms, then isolate the variable to solve!

Solve for P in the equation: 38 + 427 + P = 475. Also, determine the pair of numbers between which 57 falls.

Learn how to solve for P in the equation 38 + 427 + P = 475 using basic arithmetic. Additionally, determine which pair of numbers 57 falls between. Suitable for students in Grades 3-5, this problem enhances understanding of simple algebra and number comparison.

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