Question
Solve the equation for the variable k: $\frac {30}{k}+1=4$
$\frac {1}{10}$
10
6
$\frac {1}{6}$
$\frac {1}{10}$
10
6
$\frac {1}{6}$
Answers
GPT-4o mini
To solve the equation
\[
\frac{30}{k} + 1 = 4,
\]
we start by isolating the term involving \( k \). We can do this by subtracting 1 from both sides:
\[
\frac{30}{k} = 4 - 1,
\]
which simplifies to
\[
\frac{30}{k} = 3.
\]
Next, we eliminate the fraction by multiplying both sides by \( k \):
\[
30 = 3k.
\]
Now, we solve for \( k \) by dividing both sides by 3:
\[
k = \frac{30}{3} = 10.
\]
Thus, the solution for \( k \) is
\[
\boxed{10}.
\]
\[
\frac{30}{k} + 1 = 4,
\]
we start by isolating the term involving \( k \). We can do this by subtracting 1 from both sides:
\[
\frac{30}{k} = 4 - 1,
\]
which simplifies to
\[
\frac{30}{k} = 3.
\]
Next, we eliminate the fraction by multiplying both sides by \( k \):
\[
30 = 3k.
\]
Now, we solve for \( k \) by dividing both sides by 3:
\[
k = \frac{30}{3} = 10.
\]
Thus, the solution for \( k \) is
\[
\boxed{10}.
\]