Solving Proportions Problems

Solving Proportions Problems-77
When the researchers catch some fish later, the ratio of tagged fish in the sample to untagged is representative of the ratio of the To complete this exercise, I will need conversion factors, which are just ratios.

When the researchers catch some fish later, the ratio of tagged fish in the sample to untagged is representative of the ratio of the To complete this exercise, I will need conversion factors, which are just ratios.

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They've given me two categories of things: assessed values of properties, and the amounts of taxes paid. I will set up my ratios with the assessed valuation on top (because that's what I read first in the exercise), and I will use " Since the solution is a dollars-and-cents value, I must round the final answer to two decimal places; the "exact" form (whether repeating decimal or fraction) wouldn't make sense in this context.

So my answer is: " was not the answer the exercise was wanting.

This exercise did not ask me to find "the value of a variable" or "the length of the shorter piece".

By re-checking the original exercise, I was able to provide an appropriate response, being the lengths of each of the two pieces, including the correct units of meters.

Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation.

The exercise set will probably start out by asking for the solutions to straightforward simple proportions, but they might use the "odds" notation, something like this: Okay; this proportion has more variables than I've seen previously, and they're in expressions, rather than standing by themselves. First, I convert the colon-based odds-notation ratios to fractional form: First, I'll need to convert the "two feet four inches" into a feet-only measurement.

Since one foot contains twelve inches, then four inches is four-twelfths, or one-third, of a foot.

So the length, converted to feet only, is: I will set up my ratios with the length values on top (because I happened to pick that ordering, probably because the length info came before the weight info in the exercise).

In this case, we can verify the size of the "drop" from one end of the house to the other by checking the products of the means and the extremes (that is, by confirming that the cross-multiplications match) of the completed proportion: As far as I know, biologists and park managers actually use this technique for estimating populations.

The idea is that, after allowing enough time (it is hoped) for the tagged fish to circulate throughout the lake, these fish will then be evenly mixed in with the total population.

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