Question

Solve the following: Click Here for Help Video



y3=38\frac{y}{3}=\frac{3}{8}
3
y
​
=
8
3
​




y=y=y=

Answer 1

y/3=3/8 y=?

Answer 2

y/3=3/8 we are trying to figure out what y is

Answer 3

To solve the equation \( y^3 = \frac{38y}{3} = \frac{3}{8} \), we will take each part step by step.

First, let's handle the equation \( y^3 = \frac{3}{8} \):

1. **Set the first part**:
\[
y^3 = \frac{3}{8}
\]
To find \( y \), take the cube root of both sides:
\[
y = \sqrt[3]{\frac{3}{8}} = \frac{\sqrt[3]{3}}{\sqrt[3]{8}} = \frac{\sqrt[3]{3}}{2}
\]

Now we can summarize this step:

\[
y = \frac{\sqrt[3]{3}}{2}
\]

2. **Set the second part**:
Now let’s also consider the equation \( \frac{38y}{3} = \frac{3}{8} \):
- Multiply both sides by 3 to eliminate the fraction:
\[
38y = \frac{3 \cdot 3}{8} \quad \Rightarrow \quad 38y = \frac{9}{8}
\]
- Now, divide by 38:
\[
y = \frac{9}{8 \cdot 38} = \frac{9}{304}
\]

3. **Combining results**:
So, we have two different solutions from both parts:
- From the first part: \( y = \frac{\sqrt[3]{3}}{2} \)
- From the second part: \( y = \frac{9}{304} \)

The final solutions for \( y \) are:
\[
y = \frac{\sqrt[3]{3}}{2} \quad \text{or} \quad y = \frac{9}{304}
\]

If you need both values as answers, they are:
\[
y = \frac{\sqrt[3]{3}}{2} , \quad y = \frac{9}{304}
\]

Answer 4

To solve the equation

\[
\frac{y}{3} = \frac{3}{8},
\]

we can start by multiplying both sides by 3 to eliminate the fraction:

\[
y = 3 \cdot \frac{3}{8}.
\]

This simplifies to:

\[
y = \frac{9}{8}.
\]

So the solution for \( y \) is

\[
y = \frac{9}{8}.
\]

Answer 5

To solve the equation

\[
\frac{y}{3} = \frac{3}{8},
\]

you want to isolate \(y\). Here’s how you can do it step by step:

1. **Multiply both sides by 3** to get rid of the fraction:

\[
y = 3 \cdot \frac{3}{8}
\]

2. **Now multiply the right side**:

\[
y = \frac{9}{8}
\]

Therefore, the value of \(y\) is

\[
y = \frac{9}{8}.
\]