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Let \( x \) be the height of Karen's older sister in inches. According to the problem, we have the equation:
\[ 59 = \frac{x}{2} + 27 \]
To solve for \( x \), we first subtract 27 from both sides:
\[ 59 - 27 = \frac{x}{2} \]
\[ 32 = \frac{x}{2} \]
Next, we multiply both sides by 2 to solve for \( x \):
\[ x = 32 \times 2 \]
\[ x = 64 \]
Thus, Karen's older sister is 64 inches tall.
Let \( x \) be the number of pages Susan read yesterday. According to the problem, we can create the equation:
\[ 17 = \frac{x}{3} - 8 \]
To solve for \( x \), we first add 8 to both sides:
\[ 17 + 8 = \frac{x}{3} \]
\[ 25 = \frac{x}{3} \]
Next, we multiply both sides by 3 to isolate \( x \):
\[ x = 25 \times 3 \]
\[ x = 75 \]
Therefore, Susan read 75 pages yesterday.
To solve this problem, let's define \( x \) as the number of children Anthony watches.
Anthony's pay consists of two components:
This means that his total hourly earnings can be represented as:
\[ 8 + 1.50x \]
We know from the problem that his total hourly rate is $12.50. Thus, we can set up the equation:
\[ 8 + 1.50x = 12.50 \]
In the form \( px + q = r \), we can identify:
So, the final equation is:
\[ 1.50x + 8 = 12.50 \]
Let \( x \) be 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 younger brother's height. We can express this relationship with the following equation:
\[ 63 = 3x - 6 \]
To convert this equation into the form \( px + q = r \), we want to rearrange it:
First, add 6 to both sides:
\[ 63 + 6 = 3x \]
\[ 69 = 3x \]
We can now express it in the desired form:
\[ 3x + 0 = 69 \]
Here, we can identify:
Thus, the final equation is:
\[ 3x + 0 = 69 \]
Since it simplifies further, you may also write:
\[ 3x = 69 \]
This equation is of the required form, and indicates the same relationship.
Let's define \( x \) as the height of Cassandra’s younger brother in inches. According to the problem, Cassandra's height (63 inches) is described as 6 inches less than 3 times her younger brother's height. This leads to the following equation:
\[ 63 = 3x - 6 \]
To write it in the form \( px + q = r \), we need to rearrange the equation.
Adding 6 to both sides gives:
\[ 63 + 6 = 3x \]
\[ 69 = 3x \]
Now we put this in the form \( px + q = r \):
\[ 3x + 0 = 69 \]
From your prompt, it looks like you want to express it more clearly with placeholders. So we can format it as:
\[ 3x + 0 = 69 \]
where:
If we put this in the format you specified, it can be written as:
3x + 0 = 69
If you had a different structure in mind, please clarify! But based on what you've written, this should work.
Now, to solve for \( x \), we have:
\[ x = \frac{69}{3} = 23 \]
So, Cassandra’s younger brother is 23 inches tall.
I apologize for any confusion. Let's go through the problem step by step again.
Cassandra's height is given as 63 inches, and it is stated that this is 6 inches less than 3 times her younger brother's height. We can define \( x \) as the height of her younger brother.
The relationship can be expressed mathematically as:
\[ 63 = 3x - 6 \]
To rearrange this into the form \( px + q = r \), we can follow these steps:
Add 6 to both sides: \[ 63 + 6 = 3x \] This simplifies to: \[ 69 = 3x \]
Rearranging this gives us: \[ 3x + 0 = 69 \]
So in the desired form \( px + q = r \):
Now, to find \( x \):
So Cassandra's younger brother is 23 inches tall.
Thank you for your patience, and I apologize for any misunderstanding in the previous responses!
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