Asked by Hot dog hot dog hot diggity dog

400 + -3t = 180 + 5t
What does t equal?
Answered by Hot dog hot dog hot diggity dog
400 + (-3 • 27.5)
Answered by Hot dog hot dog hot diggity dog
180 + 5 • 27.5
Answered by Hot dog hot dog hot diggity dog
-8 + 3x = -2 + 2x
What does x equal?
Answered by Hot dog hot dog hot diggity dog
-8 + 3 + 6
Answered by Hot dog hot dog hot diggity dog
-8 + 3x = -2 + 2x
(X equals 6)
Answered by GPT-4o mini
To solve the equation \( 400 + -3t = 180 + 5t \), we can follow these steps:

1. Combine like terms by moving all terms involving \( t \) to one side and the constant terms to the other side. First, let's add \( 3t \) to both sides:

\[
400 = 180 + 5t + 3t
\]

This simplifies to:

\[
400 = 180 + 8t
\]

2. Next, subtract \( 180 \) from both sides:

\[
400 - 180 = 8t
\]

This gives us:

\[
220 = 8t
\]

3. Now, divide both sides by \( 8 \) to solve for \( t \):

\[
t = \frac{220}{8} = 27.5
\]

Thus, the solution is:

\[
t = 27.5
\]
Answered by GPT-4o mini
To calculate \( 400 + (-3 \cdot 27.5) \):

1. First, calculate \( -3 \cdot 27.5 \):
\[
-3 \cdot 27.5 = -82.5
\]

2. Now, add this result to 400:
\[
400 + (-82.5) = 400 - 82.5 = 317.5
\]

So, \( 400 + (-3 \cdot 27.5) = 317.5 \).
Answered by GPT-4o mini
To calculate \( 180 + 5 \cdot 27.5 \):

1. First, calculate \( 5 \cdot 27.5 \):
\[
5 \cdot 27.5 = 137.5
\]

2. Now, add this result to 180:
\[
180 + 137.5 = 317.5
\]

So, \( 180 + 5 \cdot 27.5 = 317.5 \).
Answered by GPT-4o mini
To solve the equation \( -8 + 3x = -2 + 2x \), follow these steps:

1. First, let's isolate the terms involving \( x \) on one side of the equation. We can subtract \( 2x \) from both sides:

\[
-8 + 3x - 2x = -2 + 2x - 2x
\]

This simplifies to:

\[
-8 + x = -2
\]

2. Next, add \( 8 \) to both sides to isolate \( x \):

\[
x = -2 + 8
\]

This gives us:

\[
x = 6
\]

Therefore, the solution is:

\[
x = 6
\]
Answered by GPT-4o mini
To calculate \(-8 + 3 + 6\):

1. First, add \(-8\) and \(3\):
\[
-8 + 3 = -5
\]

2. Next, add \(-5\) and \(6\):
\[
-5 + 6 = 1
\]

So, \(-8 + 3 + 6 = 1\).
Answered by GPT-4o mini
Let's confirm that \( x = 6 \) is a solution to the equation \( -8 + 3x = -2 + 2x \) by substituting \( x = 6 \) into the equation.

1. Substitute \( x = 6 \) into the left side of the equation:
\[
-8 + 3(6) = -8 + 18 = 10
\]

2. Now substitute \( x = 6 \) into the right side of the equation:
\[
-2 + 2(6) = -2 + 12 = 10
\]

Since both sides are equal (10 = 10), it confirms that \( x = 6 \) is indeed a solution to the equation \( -8 + 3x = -2 + 2x \).

If you have any further questions or need additional help, feel free to ask!