Arlene read 30 pages. That is 10 pages more than half of the pages Taylor read. How many pages did Taylor read?

Question

Write an equation in the form px+q=r
to represent this problem.

(2 points)
blank x
+
=

Answer 1

Let \( x \) represent the number of pages Taylor read.

According to the problem, Arlene read 30 pages, which is 10 pages more than half the number of pages Taylor read. This can be expressed as:

\[ 30 = \frac{1}{2}x + 10 \]

To write this in the form \( px + q = r \), we can first rearrange the equation. We will start by isolating the term that includes \( x \).

1. Subtract 10 from both sides:

\[ 30 - 10 = \frac{1}{2}x \]

This simplifies to:

\[ 20 = \frac{1}{2}x \]

2. Next, we can eliminate the fraction by multiplying both sides by 2:

\[ 2 \cdot 20 = x \]

This simplifies to:

\[ 40 = x \]

Now, we can rewrite the original equation \( 30 = \frac{1}{2}x + 10 \) in the desired form by reorganizing it:

\[ \frac{1}{2}x - 30 + 10 = 0 \] or simply, \[ \frac{1}{2}x - 20 = 0 \]

Thus, in the form \( px + q = r \):

\[ \frac{1}{2}x - 20 = 0 \]

In the equation \( px + q = r \):

• \( p = \frac{1}{2} \)
• \( q = -20 \)
• \( r = 0 \)

So, the completed equation would be:

\(\frac{1}{2}x - 20 = 0\)

Answer in the form requested:

\[ \frac{1}{2} x - 20 = 0 \]

Answer 2

-20 and zero is wrong

Answer 3

I apologize for the confusion in my previous response. Let's reframe the initial equation properly in the form \( px + q = r \).

We start with the information you provided:

1. Arlene read 30 pages.
2. This is 10 pages more than half the number of pages Taylor read.

So, we can construct the equation as follows:

\[ 30 = \frac{1}{2}x + 10 \]

To get this into the standard form \( px + q = r \):

1. Subtract 10 from both sides:

\[ 30 - 10 = \frac{1}{2}x \]

This simplifies to:

\[ 20 = \frac{1}{2}x \]

2. Next, we can rearrange this into the form \( px + q = r \):

Multiply both sides by 2 to eliminate the fraction:

\[ 40 = x \]

Now we want to express it to fit \( px + q = r \). Starting with \( x - 40 = 0 \):

To write it clearly in the form \( px + q = r \):

Rearranging gives us:

\[ -1x + 40 = 0 \]

So \( p = -1 \), \( q = 40 \), and \( r = 0 \).

Therefore, the equation in the correct form is:

\[ -x + 40 = 0 \]

If you want it strictly in the positive scale, it's usually written as:

\[ x - 40 = 0 \]

So to summarize:

The equation in the form \( px + q = r \) is:

\[ x - 40 = 0 \]

This means Taylor read 40 pages. Thank you for your patience!

Answer 4

1/2 x + what + what

Answer 5

Thank you for your clarity. Let's go back to the original problem and correctly express the equation:

From the information provided:

1. Arlene read 30 pages.
2. That is 10 pages more than half the number of pages Taylor read.

This can be set up as follows:

\[ 30 = \frac{1}{2}x + 10 \]

To express this in the form \( \frac{1}{2}x + q = r \):

1. We can subtract 10 from both sides of the equation:

\[ 30 - 10 = \frac{1}{2}x \]

This simplifies to:

\[ 20 = \frac{1}{2}x \]

2. This can now be rewritten in the form \( \frac{1}{2}x + q = r\):

If we want this to directly correspond to the structure you requested, we can express it with the following values:

\[ \frac{1}{2}x - 20 = 0 \]

This means:

• First blank: \(\frac{1}{2}x\)
• Second blank: \(-20\)
• Third blank: \(0\)

So the complete equation in that structure is:

\[ \frac{1}{2} x - 20 = 0 \]

If we put it directly as \(\frac{1}{2} x + q = r\), where \( q = -20\) and \( r = 0\):

• First blank: \(\frac{1}{2} x\)
• Second blank: \(-20\)
• Third blank: \(0\)

Thank you for your patience, and I hope this resolves your question correctly!

Answer 6

no

Answer 7

I apologize for any misunderstanding. Let's clarify the equation based on the given information in a step-by-step manner.

Problem Statement: Arlene read 30 pages, which is 10 pages more than half the pages Taylor read.

We need to express this relationship in the form \( \frac{1}{2}x + \text{(something)} + \text{(something)} = \text{(something)} \).

Step-by-Step Breakdown

1. Let \( x \) be the number of pages Taylor read.
2. Half of the pages Taylor read is \( \frac{1}{2}x \).
3. Since Arlene read 30 pages, which is 10 pages more than half the pages Taylor read, we can write:

\[ 30 = \frac{1}{2}x + 10 \]

Rearranging the Equation

To express this in the form you requested:

1. Start with the original equation:

\[ 30 = \frac{1}{2}x + 10 \]

2. Subtract 10 from both sides:

\[ 30 - 10 = \frac{1}{2}x \]

This simplifies to:

\[ 20 = \frac{1}{2}x \]

Putting it in the Desired Format

We want to express it in the format \( \frac{1}{2}x + \text{(something)} + \text{(something)} = \text{(something)} \).

Now, we can rewrite the equation:

\[ \frac{1}{2}x - 20 = 0 \]

If we want it to match exactly \( \frac{1}{2}x + q + r = 0 \), we can think of \( -20 \) as an additional term, resulting in:

1. First blank: \(\frac{1}{2}x\)
2. Second blank: \(-20\)
3. Third blank: \(0\)

Complete Response

Thus, in the equation format you asked:

\[ \frac{1}{2}x - 20 = 0 \]

This fits the structure of:

• First term: \(\frac{1}{2} x\)
• Second term: \( - 20\)
• Right-hand side: \( 0\)

If that’s not what you are looking for, please provide specific guidance on how you’d like the information formatted or represented. Thank you for your understanding!

Answer 8

i want to speak to your creator

Answer 9

I understand that you're feeling frustrated, and I'm here to help you as best as I can. Let me try to clarify and summarize the equation based on your initial question without any confusion.

Rephrasing Your Question:

The problem states:

• Arlene read 30 pages.
• This is 10 pages more than half the number of pages Taylor read.

Setting Up the Equation

From the statement:

1. Half of Taylor's pages: \(\frac{1}{2}x\) (where \(x\) is the number of pages Taylor read)
2. The relationship can be expressed as:

\[ 30 = \frac{1}{2}x + 10 \]

Rearranging for Clarity

To express it in the form \( \frac{1}{2}x + q = r \):

1. Start with:

   \[ 30 = \frac{1}{2}x + 10 \]

2. Rearrange to isolate terms on one side:

   \[ \frac{1}{2}x + 10 - 30 = 0 \]

3. This simplifies to:

   \[ \frac{1}{2}x - 20 = 0 \]

In Desired Format

So to fill in the blanks clearly:

• First blank \( \frac{1}{2} x \)
• Second blank: \( -20 \)
• Right side blank: \( 0 \)

The equation can be written as:

\[ \frac{1}{2}x - 20 = 0 \]

If you're still not seeing what you need, please let me know specifically what format or information you're looking for, and I'll do my best to assist you! Thank you for your patience and understanding.

Answer 10

i said that's wrong

Answer 11

I sincerely apologize for the confusion earlier. Let's start fresh and clearly identify the equation based on the information you provided.

Problem Statement

Arlene read 30 pages, which is 10 pages more than half the pages Taylor read.

Setting Up the Equation

Let \( x \) be the number of pages Taylor read. The equation based on the problem is:

\[ 30 = \frac{1}{2}x + 10 \]

Rearranging to the Desired Form

From the equation above:

1. Subtract 10 from both sides:

   \[ 30 - 10 = \frac{1}{2}x \]

   This simplifies to:

   \[ 20 = \frac{1}{2}x \]

2. To express this in the form \( \frac{1}{2}x + q = r \):

   • We need to rearrange it to:

   \[ \frac{1}{2}x - 20 = 0 \]

This is written as:

• First blank (for \(\frac{1}{2} x\)): \(\frac{1}{2}x\)
• Second blank (for \(q\)): \(-20\)
• Right side blank (for \(r\)): \(0\)

Conclusion

The equation is:

\[ \frac{1}{2}x - 20 = 0 \]

If this still doesn't align with what you're looking for, please let me know how I can assist you better. Thank you very much for your patience.