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Marat540 [252]
3 years ago
6

Set up and solve a proportion for the following application problem. If 55 pounds of grass seed cover 404 square​ feet, how many

pounds are needed for 7272 square​ feet?
Mathematics
1 answer:
klio [65]3 years ago
4 0

Answer:   990 lbs

<u>Step-by-step explanation:</u>

Set up the proportion, then cross multiply and solve for the unknown value (pounds).

\dfrac{55\ lbs}{404\ sq\ ft}=\dfrac{x}{7272\ sq\ ft}\\\\\\55\ lbs\cdot 7272\ sq\ ft=404\ sq\ ft\cdot x\\\\\\\dfrac{55\ lbs\cdot 7272\ sq\ ft}{404\ sq\ ft}=x\\\\\\990\ lbs=x

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Step-by-step explanation:

As you might know, the two lines surrounding the -4 represent the absolute value, which is basically the distance from 0, and the distance is always positive. To clear any confusion, the absolute value of positive number will not be it's opposite because remember, distance is always positive, so absolute value is always positive (because it is basically the distance from zero).

To help, here is an example (that is not related to the problem!):

|-6| = 6

|6|  = 6

<em>Now, back to the problem...</em>

Since you now know that the absolute value is always positive, |-4| would equal 4. So now you have:

4 - 8 + 10 = ???

From here, you can just solve and the answer is 6, so:

4 - 8 + 10 = 6

You final answer is 6.

Hope this helped somehow :D

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