Solve the following proportion for $$ u $$. $$ \frac{10}{u}=\frac{13}{5} $$ Round your answer to the nearest tenth. $$ u=\square $$

Question

UpStudy AI · Accepted Answer

We start with the proportion
$$
\frac{10}{u} = \frac{13}{5}.
$$

**Step 1. Cross multiply:**
$$
10 \times 5 = 13 \times u.
$$
This gives:
$$
50 = 13u.
$$

**Step 2. Solve for $$ u $$:**
$$
u = \frac{50}{13}.
$$

**Step 3. Calculate the decimal value:**
$$
\frac{50}{13} \approx 3.84615.
$$

**Step 4. Round to the nearest tenth:**
$$
u \approx 3.8.
$$

Thus, the solution is:
$$
u \approx 3.8.
$$
$$ u \approx 3.8 $$

Solve the following proportion for \( u \). \[ \frac{10}{u}=\frac{13}{5} \] Round your answer to the nearest tenth. \[ u=\square \]