What is the value of p in the following equation? 20p−3=5

Question

What is the value of p in the following equation?  20p−3=5

7
7

5
5

1
1

3

GPT-4o mini · Answer

To solve the equation $ 20p - 3 = 5 $, we first add 3 to both sides: $$ 20p - 3 + 3 = 5 + 3 $$ This simplifies to: $$ 20p = 8 $$ Next, we divide both sides by 20: $$ p = \frac{8}{20} $$ This simplifies to: $$ p = \frac{2}{5} $$ The value of $ p $ is $ \frac{2}{5} $, which is not one of the options given (7, 5, 1, or 3). Please verify or check the problem statement for any discrepancies.

Answer

What is the value of p in the following equation? 20/p−3=5 7 7 5 5 1 1 3

GPT-4o mini · Answer

To solve the equation $$ \frac{20}{p} - 3 = 5, $$ first, we need to isolate $\frac{20}{p}$ by adding 3 to both sides: $$ \frac{20}{p} = 5 + 3. $$ This simplifies to: $$ \frac{20}{p} = 8. $$ Next, we can rewrite this equation by cross-multiplying: $$ 20 = 8p. $$ Now, divide both sides by 8 to solve for $p$: $$ p = \frac{20}{8} = \frac{5}{2}. $$ Since $\frac{5}{2} = 2.5$, this is not one of the options given as potential answers (7, 5, 1, or 3). Please double-check the equation or the possible answers.

Answer

P = 7 when the fraction is 20 over p minus 3 , and equals five

GPT-4o mini · Answer

Thank you for your clarification! Let's solve the equation again step-by-step with the updated information.

We have the equation:

\[ \frac{20}{p} - 3 = 5. \]

First, isolate the fraction by adding 3 to both sides:

\[ \frac{20}{p} = 5 + 3 \]

This simplifies to:

\[ \frac{20}{p} = 8. \]

Next, we cross-multiply to eliminate the fraction:

\[ 20 = 8p. \]

Now, divide both sides by 8 to solve for $p$:

\[ p = \frac{20}{8} = \frac{5}{2}. \]

So, the correct value for $p$ is $2.5$.

However, if you're saying that $p = 7$ gives the correct answer, let's substitute $p = 7$ back into the original equation to verify:

\[ \frac{20}{7} - 3. \]

Calculating this:

First, calculate $\frac{20}{7} \approx 2.857$.
Then subtract 3:

\[ 2.857 - 3 = -0.143, \]

which does not equal 5.

Therefore, the value of $p$ that satisfies the equation $\frac{20}{p} - 3 = 5$ is indeed $2.5$, not 7. Please let me know if you have further questions or if there is any other aspect to clarify.