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chubhunter [2.5K]
1 year ago
9

If Melinda wanted to build a patio in her backyard that was 14 feet long, 6 feet wide

Mathematics
1 answer:
JulsSmile [24]1 year ago
6 0

The volume of aggregate that she needs to build the patio is 13.18 ft^3

<h3>How many cubic feet of aggregate would she need to build the walkway?</h3>

We know that the backyard is 14ft long, 6 feet wide and 4 inches deep.

Rememeber that:

1ft = 12 in

Then:

4 in = (4/12) ft = (1/3) ft

Then the volume of the backyard is:

V = (14ft)*(6ft)*(1/3 ft) = 28ft^3

Now we know that we have a mix of 4 parts aggregate to 4.5 parts loose cement that need to fill these 28 cubic feet.

Note that:

4 + 4.5 = 8.5

How many times we have 8.5 in 28?

28/8.5 = 3.294

Now for each of these we have 4 parts of aggregate, then the volume of aggregate that we need is:

4*3.294 ft^3 = 13.18 ft^3

The volume of aggregate that she needs to build the patio is 13.18 ft^3

If you want to learn more about volumes:

brainly.com/question/1972490

#SPJ1

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Evaluate the expression 6/5x when x=20
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How to solve: a parade traveled 4 miles in 2 hours. how far did tge parade travel per minute?
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There's a really easy way to convert any units to other units.

Right now, we have the fraction  (4 miles) / (2 hours).

We want to find a fraction that's exactly equal to that one,
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Just take the original fraction, and multiply it by some other
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Each fraction you multiply it by must have the value of ' 1 ' so
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      (4 miles / 2 hours) times (1 hour / 60 minutes)

The second fraction is equal to ' 1 ', because the top and the bottom
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Multiply the fractions:  (4 miles x 1 hour) / (2 hour x 60 minutes)

Now you can cancel 'hour' from the top and the bottom, and you have

             (4 miles x 1) / (2 x 60 minutes)

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Let's do it again, go a little farther, and get an answer that
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The 2nd and 3rd fractions both have the value of ' 1 ', because
the top is equal to the bottom. 

Multiply all three fractions: 

     (4 miles x 5280 feet x 1 hour) / (2 hours x 1 mile x 60 minutes)

You can cancel both 'mile' and 'hour' out of the top and bottom,
and look what you have left:

     (4 x 5280 feet x 1) / (2 x 1 x 60 minutes)

  =  (4 x 5280) / (2 x 60)  feet / minutes

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What variable stands for the constant in this equation? y = kx
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Answer: constant of proportionality - the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.

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