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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

5 answers

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?

No, the fraction is 20/p-3 combined

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!

you still don't get it.... p-3 are combined

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!