At the fair there are two bean bag toss games. You gain 3/4 of a point for each bean bag that you get on the target and you lose 1/2 point for each bean bag that does not land on the target. Your total amount of points fo this game can be represented by 3/4h - 1/2g. In a different bean bag toss game you gain 7/8 points for each bean bag that get on the target and you lose 3/4 points for each bean bag that does not land on the target.
Your total amount of points for this game can be represented by 7/8h - 3/4g. You can figure out the total number of points earned by simplifying this expression: (3/4h - 1/2g) + (7/8h - 3/4g). What would this expression be simplified? (Hint: Combine like terms!) (2 points)
•10/14-4/6g
•15/8+5/4g
•1 5/8h-1 1/4g
1 1/2h-1 3/4g
To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), you can combine like terms by adding the coefficients of h and g separately.
For h:
3/4h + 7/8h = (6/8 + 7/8)h
= 13/8h
For g:
-1/2g - 3/4g = (-4/8 - 6/8)g
= -10/8g
Thus, the simplified expression is: 13/8h - 10/8g
Simplifying further, we can reduce the fractions:
= 1 5/8h - 1 1/4g
So, the correct simplified expression is 1 5/8h - 1 1/4g.
At the fair there are two bean bag toss games. You gain 3/4 of a point for each bean bag that you get on the target and you lose 1/2 point for each bean bag that does not land on the target. Your total amount of points fo this game can be represented by 3/4h - 1/2g. In a different bean bag toss game you gain 7/8 points for each bean bag that get on the target and you lose 3/4 points for each bean bag that does not land on the target.
Your total amount of points for this game can be represented by 7/8h - 3/4g. You can figure out the total number of points earned by simplifying this expression: (3/4h - 1/2g) + (7/8h - 3/4g). What would this expression be simplified? (Hint: Combine like terms!) (2 points)
•10/14-4/6g
•15/8+5/4g
•1 5/8h-1 1/4g
1 1/2h-1 3/4g
What was the answer?
The answer to the simplified expression is:
(13/8)h - (5/4)g
Are you sure?
Apologies for the confusion. Let's recheck the simplification.
For h:
3/4h + 7/8h = (6/8 + 7/8)h
= (13/8)h
For g:
-1/2g - 3/4g = (-2/4 - 3/4)g
= (-5/4)g
So, the correct simplified expression is:
(13/8)h - (5/4)g
Therefore, the answer is indeed:
(13/8)h - (5/4)g
To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), you need to combine like terms by adding the coefficients of h and g separately.
For h:
3/4h + 7/8h = (6/8 + 7/8)h = 13/8h
For g:
-1/2g - 3/4g = (-4/8 - 6/8)g = -10/8g
Thus, the simplified expression is:
(13/8)h - (10/8)g
Simplifying the coefficients further, we can reduce the fractions:
= (13/8)h - (5/4)g
Therefore, the correct simplified expression is:
(13/8)h - (5/4)g