Question

Set up and solve the proportion to find the distance between the penguins and the fish tank.(3 points)Set up the proportion: 5430= NOTE: Type the correct fraction into the box to receive credit.Cross Multiply: 30x= NOTE: Type the correct numerical answer into the box to receive credit.Solve for x: x= feet NOTE: Type the correct numerical answer into the box to receive credit.Skip to navigation

Answer 1

To set up the proportion and solve for the distance \( x \) between the penguins and the fish tank, we first assume we have two ratios that relate to the situation. From your prompt, we have a known distance of 5430 and need to set up a suitable fraction.

Assuming we are comparing the distance from the penguins to the fish tank (\( x \)) with some other known distance (which I’ll assume as 30 for this example), the proportion can be written as:

\[
\frac{x}{30} = \frac{5430}{k}
\]

where \( k \) represents some relation that we would need to know (for instance, the total unit distance of interest). However, since \( k \) is not provided, we might need to refine this further with additional information about what \( 5430 \) corresponds to in the context of the problem.

Assuming a direct comparison might be appropriate, let's set the only known distance to another unit as follows, where only the direct relationship should suffice:

Suppose we try, for simplicity:
\[
\frac{x}{30} = \frac{5430}{1}
\]

Cross-multiplying gives us:
\[
1 \cdot x = 30 \cdot 5430
\]

Calculating the multiplication on the right gives:
\[
x = 30 \cdot 5430 = 162900
\]

Thus, we find that the distance \( x \) between the penguins and the fish tank is:
\[
x = 162900 \text{ feet}
\]

To summarize:
- **Set up the proportion**: \(\frac{x}{30} = \frac{5430}{1}\)
- **Cross Multiply**: \(1x = 30 \cdot 5430\)
- **Solve for \( x \)**: \(x = 162900\) feet.

Please adjust if there are any specifics on the values or terms involved to reflect the actual context of the problem accurately!