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Sagot :
The amount it will cost Alisa to fill the volleyball court using sand from Brand A with a unit rate of $1/12 per lb and a mass of sand of 135200 lbs is $11266.[tex]\overline{6}[/tex]
What is a unit rate?
A unit rate is the rate or amount for one (unit) of an item.
The mass of sand that fills one cubic ft. = 100 pounds
The volume of sand required to fill the volleyball court can be found using the formula; V = l × w × h
Where:
l = The length of the volleyball court = 52 ft
w = The width = 26 ft
h = The height = 1 ft
Therefore; V = 26 ft × 52 ft × 1 ft = 1352 ft³
The mass of sand required, m = 100 lbs × 1352 = 135200 lbs
The unit rate for Brand A = $(5/60)/lb = $(1/12)/lb
The unit rate for Brand B = $(12/150)/lb = $0.08 per lb
The cost of filling the volleyball court using Brand A, C₁, is therefore;
- Cost of Brand A, C₁ = $(1/12)/lb × 135200 lb = $11266.[tex]\overline{6}[/tex]
- The cost using Brand B, C₂ = $0.08/lb × 135200 lb = $10816
The possible parts of the question missing, obtained from a similar question online includes;
Alisa is at the hardware store to buy sand to set up a volleyball court in her back yard.
The dimension of a beach volleyball court = 26 feet by 52 feet
The depth of filling of the sand = 1 ft deep
The prices of the sands are;
60 lbs of sand A = $5
150 lbs of sand B = $12
Learn more about unit rate calculations here:
https://brainly.com/question/4895463
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