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

1 answer

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:

x30=5430k

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: x30=54301

Cross-multiplying gives us: 1x=305430

Calculating the multiplication on the right gives: x=305430=162900

Thus, we find that the distance x between the penguins and the fish tank is: x=162900 feet

To summarize:

  • Set up the proportion: x30=54301
  • Cross Multiply: 1x=305430
  • 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!