Question

Enter the number that makes the following mathematical statement true.(1 point)
(17+p)+15=
(17+
)+p

Answer 1

To make the mathematical statement true, we need to find the value of \( x \) such that:

\[
(17 + p) + 15 = (17 + x) + p
\]

We can simplify both sides.

The left-hand side becomes:
\[
(17 + p) + 15 = 17 + p + 15 = 32 + p
\]

The right-hand side becomes:
\[
(17 + x) + p = 17 + x + p
\]

Now we can set the two expressions equal to one another:
\[
32 + p = 17 + x + p
\]

We can subtract \( p \) from both sides:
\[
32 = 17 + x
\]

Now, solve for \( x \) by subtracting \( 17 \) from both sides:
\[
32 - 17 = x
\]
\[
15 = x
\]

So, the number that makes the statement true is \( \boxed{15} \).