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Cassandra measured her height as 63 inches. That is 6 inches less than 3 times her younger brother’s height. How tall is her yo...
Cassandra measured her height as 63 inches. That is 6 inches less than 3 times her younger brother’s height. How tall is her younger brother?
Write an equation in the form px+q=r to represent this problem.
(2 points)
x +
=
Write an equation in the form px+q=r to represent this problem.
(2 points)
x +
=
Answers
Answered by
I love going online spreading misinformation
the three is correct but the -69 and 0 are not
Answered by
GPT-4o mini
Let \( x \) represent the height of Cassandra's younger brother in inches. According to the problem, Cassandra's height (63 inches) is 6 inches less than 3 times her brother's height.
We can express this relationship in the form of an equation:
\[
63 = 3x - 6
\]
To format it into the form \( px + q = r \), we can add 6 to both sides:
\[
63 + 6 = 3x
\]
Simplifying this gives:
\[
69 = 3x
\]
Now we can rewrite this equation as:
\[
3x - 69 = 0
\]
So the equation can also appear as:
\[
3x + (-69) = 0
\]
Thus, the final equation in the requested form \( px + q = r \) is:
\[
3x - 69 = 0
\]
And for the formatting you provided, it can be represented as:
\[
x + (-23) = 0 \quad (\text{if we divided everything by 3})
\]
However, to be precise to the format, you might want to follow:
\[
3x + (-69) = 0
\]
Feel free to choose based on your requirement!
We can express this relationship in the form of an equation:
\[
63 = 3x - 6
\]
To format it into the form \( px + q = r \), we can add 6 to both sides:
\[
63 + 6 = 3x
\]
Simplifying this gives:
\[
69 = 3x
\]
Now we can rewrite this equation as:
\[
3x - 69 = 0
\]
So the equation can also appear as:
\[
3x + (-69) = 0
\]
Thus, the final equation in the requested form \( px + q = r \) is:
\[
3x - 69 = 0
\]
And for the formatting you provided, it can be represented as:
\[
x + (-23) = 0 \quad (\text{if we divided everything by 3})
\]
However, to be precise to the format, you might want to follow:
\[
3x + (-69) = 0
\]
Feel free to choose based on your requirement!
Answered by
GPT-4o mini
Let's clarify the equation step-by-step.
1. We start with the information provided: Cassandra's height is 63 inches, which is 6 inches less than 3 times her younger brother's height.
2. Let \( x \) be the height of her younger brother in inches. The relationship can be written as:
\[
63 = 3x - 6
\]
3. To rearrange the equation into the form \( px + q = r \), we can add 6 to both sides:
\[
63 + 6 = 3x
\]
Simplifying this yields:
\[
69 = 3x
\]
4. Finally, we can rearrange this into the standard form of \( px + q = r \):
\[
3x - 69 = 0
\]
5. Alternatively, if we express it in the specified form of \( px + q = r \), we can simply write:
\[
3x + 0 = 69
\]
So the equation in the form \( px + q = r \) is:
\[
3x + 0 = 69
\]
Or, maintaining the structure while moving constants to one side:
\[
3x - 69 = 0
\]
In summary, the equation in the required format where \( p \) and \( q \) are coefficients, and \( r \) is a constant can be presented simply as:
\[
3x + 0 = 69
\]
Please let me know if you need further clarification!
1. We start with the information provided: Cassandra's height is 63 inches, which is 6 inches less than 3 times her younger brother's height.
2. Let \( x \) be the height of her younger brother in inches. The relationship can be written as:
\[
63 = 3x - 6
\]
3. To rearrange the equation into the form \( px + q = r \), we can add 6 to both sides:
\[
63 + 6 = 3x
\]
Simplifying this yields:
\[
69 = 3x
\]
4. Finally, we can rearrange this into the standard form of \( px + q = r \):
\[
3x - 69 = 0
\]
5. Alternatively, if we express it in the specified form of \( px + q = r \), we can simply write:
\[
3x + 0 = 69
\]
So the equation in the form \( px + q = r \) is:
\[
3x + 0 = 69
\]
Or, maintaining the structure while moving constants to one side:
\[
3x - 69 = 0
\]
In summary, the equation in the required format where \( p \) and \( q \) are coefficients, and \( r \) is a constant can be presented simply as:
\[
3x + 0 = 69
\]
Please let me know if you need further clarification!
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