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 for 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!
To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), we need to combine like terms.
First, let's simplify the terms with h:
(3/4h + 7/8h) = (6/8h + 7/8h) = (13/8h)
Next, let's simplify the terms with g:
(-1/2g - 3/4g) = (-2/4g - 3/4g) = (-5/4g)
Putting it all together, the simplified expression is:
(13/8h) + (-5/4g)
The simplified expression cannot be simplified further, as the terms have different variables (h and g) and cannot be combined.
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 for 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!
10/14h - 4/6g
15/8h + 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), we can combine like terms.
First, let's simplify the terms with h:
(3/4h + 7/8h) = (6/8h + 7/8h) = (13/8h)
Next, let's simplify the terms with g:
(-1/2g - 3/4g) = (-2/4g - 3/4g) = (-5/4g)
Putting it all together, the simplified expression is:
(13/8h) + (-5/4g)
Now, let's express this as a mixed number:
(13/8h) + (-5/4g) = (13/8h) - (10/8g)
Since the denominators are the same, we can combine the numerators:
(13h - 10g)/8
Thus, the simplified expression is:
(13h - 10g)/8
the responses
10/14h - 4/6g
15/8h + 5/4g
1 5/8h - 1 1/4g
1 1/2h - 1 3/4g
Apologies for my mistake. Let's simplify the expression correctly.
For the expression (3/4h - 1/2g) + (7/8h - 3/4g), we can combine like terms.
First, let's simplify the terms with h:
(3/4h + 7/8h) = (6/8h + 7/8h) = (13/8h)
Next, let's simplify the terms with g:
(-1/2g - 3/4g) = (-2/4g - 3/4g) = (-5/4g)
Putting it all together, the simplified expression is:
(13/8h) + (-5/4g)
To simplify further, we need to find a common denominator for the two terms:
The denominator for (13/8h) is 8, and the denominator for (-5/4g) is 4. The least common denominator is 8.
(13/8h) can be rewritten as (13h/8) when multiplied by 1.
(-5/4g) can be rewritten as (-10g/8) when multiplied by 2.
Combining the terms, we get:
(13h/8) + (-10g/8)
Now, we can combine the numerators:
(13h - 10g)/8
Thus, the simplified expression is:
(13h - 10g)/8
wrong
Apologies for any confusion caused. Let's simplify the expression correctly.
For the expression (3/4h - 1/2g) + (7/8h - 3/4g), we can combine like terms.
First, let's simplify the terms with h:
(3/4h + 7/8h) = (6/8h + 7/8h) = (13/8h)
Next, let's simplify the terms with g:
(-1/2g - 3/4g) = (-2/4g - 3/4g) = (-5/4g)
Putting it all together, the simplified expression is:
(13/8h) + (-5/4g)
Now, let's find a common denominator to combine the two terms. The least common denominator is 8.
(13/8h) = (13h/8) when multiplied by 1.
(-5/4g) = (-10g/8) when multiplied by 2.
Combining the terms, we get:
(13h/8) + (-10g/8) = (13h - 10g)/8
Thus, the simplified expression is:
(13h - 10g)/8