Answer:

Step-by-step explanation:
The area of an equilateral triangle with side length
is equal to
. Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is
units.
Substituting in this value, we get:

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Charlie's Carpets:
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Carpet : $18/yd
Installation: $2/yd
Discount: 20% x $18 = 0.2 x 18 = $3.60
Carpet Price after discount = $18 - $3.60 = $14.40/yd²
Carpet Price with installation $14.40 + $2 = $16.40/yd²
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Cindy's Carpet
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Carpet = $18/yd²
Discount = 10% = 0.1 x $18 = $1.80
Price after Discount = $18 - $1.80 = $16.20/yd²
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Summary:
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Charlie's Carpet = $16.40/yd²
Cindy's Carpet = $16.20/yd²
CIndy's Carpet is cheaper.
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Find Cost:
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Length = 19 x 1/3 = 19/3 yards
Width = 12 x 1/3 = 4 yards
19/3 x 4 = 25 1/3 yd²
Cost = 25 1/3 x $16.20 = $410.40
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Answer: Cindy's Carpet is cheaper and it will cost $410.40.
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a 10-by-10 grid means there are 100 squares and percent is out of 100 so if you have 42% then you just need to fill in 42 squares
Answer: 
Step-by-step explanation:
1. You have the following information given in the problem above:
- y represents total earnings in dollars .
- x represents hours worked.
2. Keeping on mind that the expression must model the wages of someone who makes $11.50 in an hour, this amount of money per hour must multiply the hours worked, which is represented by x.
3. Therefore, you can write the following equation:

Answer
Step-by-step explanation:
(15x-8y)=52
180=90+52+x
x=38
System of equations:
15x-8y=52
6x+14y=38
y=-6.5+15/8x
6x+14(-6.5+15/8x)=38
6x-91+26.25x=38
32.25x=129
x=4
15(4)-8y=52
60-8y=52
-8y=-8
y=1
x=4