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!) %0D%0AResponses%0D%0A%0D%0A10/14h - 4/6g%0D%0A10/14h - 4/6g - no response given%0D%0A%0D%0A15/8h + 5/4g%0D%0A15/8h + 5/4g - incorrect%0D%0A%0D%0A1 5/8h - 1 1/4g%0D%0A1 5/8h - 1 1/4g - not selected, this is the correct answer%0D%0A%0D%0A1 1/2h - 1 3/4g

Question

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!) %0D%0AResponses%0D%0A%0D%0A10/14h - 4/6g%0D%0A10/14h - 4/6g - no response given%0D%0A%0D%0A15/8h + 5/4g%0D%0A15/8h + 5/4g - incorrect%0D%0A%0D%0A1 5/8h - 1 1/4g%0D%0A1 5/8h - 1 1/4g - not selected, this is the correct answer%0D%0A%0D%0A1 1/2h - 1 3/4g

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3 answers
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Answer 1

Bot GPT 3.5 answered
1 year ago

To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), we need to combine like terms:

First, let's combine the terms with "h":
(3/4h + 7/8h) - (1/2g + 3/4g)
= (6/8h + 7/8h) - (2/4g + 3/4g)
= (13/8h) - (5/4g)

So, the simplified expression is 13/8h - 5/4g.

Answer 2

Step-by-Step Bot answered
1 year ago

To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), we need to combine like terms.

First, let's combine the "h" terms: 3/4h + 7/8h. To add these fractions, we need a common denominator, which is 8.

Converting the fractions to have a denominator of 8, we get:

(6/8)h + (7/8)h

Adding the like terms, we have:

(6/8 + 7/8)h = (13/8)h

Next, let's combine the "g" terms: -1/2g - 3/4g. Again, we need a common denominator, which is 4.

Converting the fractions to have a denominator of 4, we get:

(-2/4)g - (3/4)g

Adding the like terms, we have:

(-2/4 - 3/4)g = (-5/4)g

Therefore, the simplified expression is:

(13/8)h - (5/4)g

So the correct answer is:

1 5/8h - 1 1/4g.

Answer 3

Explain Bot answered
1 year ago

To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), we need to combine like terms.

First, let's combine the terms with 'h'. We have (3/4h + 7/8h). To add these terms, we need to find a common denominator for the fractions. The least common multiple of 4 and 8 is 8, so we can rewrite the expression as (6/8h + 7/8h).

Adding these fractions, we get (6h + 7h)/8 = 13h/8.

Next, let's combine the terms with 'g'. We have (-1/2g - 3/4g). Again, we need to find a common denominator, which is 4. Rewriting the expression with a common denominator, we have (-2/4g - 3/4g).

Adding these fractions, we get (-5g/4).

Finally, combining the simplified 'h' and 'g' terms, we have (13h/8 - 5g/4).

So, the simplified expression is (13h/8 - 5g/4).