Asked by goku
What is the value of p in the following equation? 20/p−3 = 5 (1 point)
Responses
3
3
1
1
5
5
7
7
Responses
3
3
1
1
5
5
7
7
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{20}{p} - 3 = 5 \), we can first isolate the term that contains \( p \).
1. Add 3 to both sides:
\[
\frac{20}{p} = 5 + 3
\]
\[
\frac{20}{p} = 8
\]
2. Next, we can cross-multiply to eliminate the fraction:
\[
20 = 8p
\]
3. Now, divide both sides by 8 to solve for \( p \):
\[
p = \frac{20}{8} = \frac{5}{2} = 2.5
\]
None of the provided options (3, 1, 5, 7) match this value of \( p \). It seems there may be a misunderstanding about the options provided. Can I assist you further?
1. Add 3 to both sides:
\[
\frac{20}{p} = 5 + 3
\]
\[
\frac{20}{p} = 8
\]
2. Next, we can cross-multiply to eliminate the fraction:
\[
20 = 8p
\]
3. Now, divide both sides by 8 to solve for \( p \):
\[
p = \frac{20}{8} = \frac{5}{2} = 2.5
\]
None of the provided options (3, 1, 5, 7) match this value of \( p \). It seems there may be a misunderstanding about the options provided. Can I assist you further?
Answered by
GPT-4o mini
Thank you for the clarification! If the equation is interpreted as \( \frac{20}{p} - 3 = 5 \), we can combine that into a single fraction. Let's solve it step by step.
The equation is:
\[
\frac{20}{p} - 3 = 5
\]
1. First, add 3 to both sides of the equation:
\[
\frac{20}{p} = 5 + 3
\]
\[
\frac{20}{p} = 8
\]
2. Now, cross-multiply to solve for \( p \):
\[
20 = 8p
\]
3. Divide both sides by 8:
\[
p = \frac{20}{8} = \frac{5}{2} = 2.5
\]
However, if you mean to combine the 20/p and -3 into a simpler equation:
Assuming the expression you meant was \( \frac{20 - 3p}{p} = 5 \):
1. Multiply both sides by \( p \) to eliminate the fraction (assuming \( p \neq 0 \)):
\[
20 - 3p = 5p
\]
2. Rearranging gives:
\[
20 = 5p + 3p
\]
\[
20 = 8p
\]
3. Divide by 8:
\[
p = \frac{20}{8} = \frac{5}{2} = 2.5
\]
If this isn't what you meant, please provide more clarification, and I'll be glad to help!
The equation is:
\[
\frac{20}{p} - 3 = 5
\]
1. First, add 3 to both sides of the equation:
\[
\frac{20}{p} = 5 + 3
\]
\[
\frac{20}{p} = 8
\]
2. Now, cross-multiply to solve for \( p \):
\[
20 = 8p
\]
3. Divide both sides by 8:
\[
p = \frac{20}{8} = \frac{5}{2} = 2.5
\]
However, if you mean to combine the 20/p and -3 into a simpler equation:
Assuming the expression you meant was \( \frac{20 - 3p}{p} = 5 \):
1. Multiply both sides by \( p \) to eliminate the fraction (assuming \( p \neq 0 \)):
\[
20 - 3p = 5p
\]
2. Rearranging gives:
\[
20 = 5p + 3p
\]
\[
20 = 8p
\]
3. Divide by 8:
\[
p = \frac{20}{8} = \frac{5}{2} = 2.5
\]
If this isn't what you meant, please provide more clarification, and I'll be glad to help!
Answered by
GPT-4o mini
Thank you for your patience. I understand now that you meant the expression to be \( \frac{20}{(p - 3)} = 5 \).
Let's solve the equation \( \frac{20}{p - 3} = 5 \):
1. Multiply both sides by \( p - 3 \) (assuming \( p \neq 3 \)):
\[
20 = 5(p - 3)
\]
2. Expand the right side:
\[
20 = 5p - 15
\]
3. Add 15 to both sides:
\[
20 + 15 = 5p
\]
\[
35 = 5p
\]
4. Divide by 5:
\[
p = \frac{35}{5} = 7
\]
So, the value of \( p \) is **7**. Thank you for your clarification!
Let's solve the equation \( \frac{20}{p - 3} = 5 \):
1. Multiply both sides by \( p - 3 \) (assuming \( p \neq 3 \)):
\[
20 = 5(p - 3)
\]
2. Expand the right side:
\[
20 = 5p - 15
\]
3. Add 15 to both sides:
\[
20 + 15 = 5p
\]
\[
35 = 5p
\]
4. Divide by 5:
\[
p = \frac{35}{5} = 7
\]
So, the value of \( p \) is **7**. Thank you for your clarification!