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!