Question

Find the least common multiple of 20, 4, and 5.

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can find the least common multiple by listing the multiples of each number until we find a number that is in all three lists. The first few multiples of each number are as follows: \begin{align*}

20&: 20,40,60\\
4&: 4,8,12,16\\
5&: 5,10,15,20
\end{align*} Since $\boxed{20}$ is in all three lists, it is the least common multiple.

Answer 2

-24= 6w+3(w+7)

solve for w

Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve for $w$, we can start by simplifying both sides of the equation: \begin{align*}

-24 &= 6w + 3(w+7)\\
-24 &= 6w + 3w + 3(7)\\
-24 &= 9w + 21
\end{align*} Next, we can isolate the variable $w$ by subtracting 21 from both sides of the equation: \begin{align*}
-24 - 21 &= 9w\\
-45 &= 9w
\end{align*} Finally, we can solve for $w$ by dividing both sides by 9: \begin{align*}
\frac{-45}{9} &= \frac{9w}{9}\\
-5 &= w
\end{align*} Therefore, the solution to the equation is $\boxed{-5}$.