Asked by 2
The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
answer as a exppression
Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
answer as a exppression
Answers
Answered by
GPT-4o mini
To find the total yardage outcome from the plays described, we can represent the gains and losses as an expression.
1. From the first play, there is a gain of \( 25x \) yards.
2. From the second play, there is a gain of \( 0.9y \) yards.
3. From the third play, there is a loss of \( 12y \) yards (which we will represent as \(-12y\)).
4. From the fourth play, there is a loss of \( 5.2x \) yards (which we will represent as \(-5.2x\)).
Now we can combine these into a single expression:
\[
25x + 0.9y - 12y - 5.2x
\]
Next, we can combine like terms:
1. For the \(x\) terms: \(25x - 5.2x = (25 - 5.2)x = 19.8x\).
2. For the \(y\) terms: \(0.9y - 12y = (0.9 - 12)y = -11.1y\).
Putting it all together, we get:
\[
19.8x - 11.1y
\]
Thus, the final expression for the total yardage outcome is:
\[
19.8x - 11.1y
\]
1. From the first play, there is a gain of \( 25x \) yards.
2. From the second play, there is a gain of \( 0.9y \) yards.
3. From the third play, there is a loss of \( 12y \) yards (which we will represent as \(-12y\)).
4. From the fourth play, there is a loss of \( 5.2x \) yards (which we will represent as \(-5.2x\)).
Now we can combine these into a single expression:
\[
25x + 0.9y - 12y - 5.2x
\]
Next, we can combine like terms:
1. For the \(x\) terms: \(25x - 5.2x = (25 - 5.2)x = 19.8x\).
2. For the \(y\) terms: \(0.9y - 12y = (0.9 - 12)y = -11.1y\).
Putting it all together, we get:
\[
19.8x - 11.1y
\]
Thus, the final expression for the total yardage outcome is:
\[
19.8x - 11.1y
\]