Write an equation which can be used to find the total number of home runs, h, Hassan hit.
(1 point)
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3 answers
To determine the relationship between the home runs hit by Andre and Hassan, we can set up the following variables:
Let \( h \) represent the number of home runs Hassan hit. According to the problem:
We can express this as an equation:
\[ h + (2h + 4) = 10 \]
This equation represents the total number of home runs hit by both players.
Yes, you can express the relationship in various ways, but they will ultimately relate back to the same variables defined in the problem. Here are a few alternate expressions and equations you can derive based on the situation:
From the original equation: \[ h + (2h + 4) = 10 \]
Rearranging the above equation gives: \[ 3h + 4 = 10 \]
You can also express the total number of home runs in terms of Andre's home runs: Let \( a \) be the number of home runs Andre hit, then: \[ a = 2h + 4 \] And together: \[ h + a = 10 \]
Substituting for \( a \): \[ h + (2h + 4) = 10 \]
Another expression could simply represent the difference in home runs: If we isolate Hassan’s hits: \[ h = \frac{10 - 4}{3} \text{, which simplifies to } h = 2. \]
Lastly, you can also express the relationship as: \[ h + 2h + 4 = 10 \] This simplifies to the same base equation, confirming that the expressions are consistent.
All these equations reflect the same underlying relationship governed by the conditions of the problem. However, they can be expressed in different forms depending on how you define the variables and the relationships between them.
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