5x = length
4x = width
324 = perimeter
formula: P = 2(length) + 2(width)
324 = 2(5x) + 2(4x)
324 = 10x + 8x
324 = 18x
18 = x
Substitute the value of x = 18
Length = 5x = 5(18) = 90meters
Width = 4x = 4(18) = 72meters
The area of the sector (As) of a circle may be calculated by the formula,
As = (a / 360) x π x r²
where a is the measure of angle in degrees and r is the radius. Substituting the known values,
As = (18 / 360) x 3.14 x (4²) = 2.512
Thus, the area of the sector is approximately 2.512 squared units.
35 times 18 is $630 and 5 hours overtime times 27 is $135 so you add the 630 and 135 Dom's pay is $765.00
Answer:
9 bottles of soda and 7 bottles of juice
Step-by-step explanation:
Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.
1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.
Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.
In total, there are 35x+10y g of sugar.
All bottles collectively contain 385 grams of sugar, thus

3. Solve the system of two equations:

Substitute the first equation into the second equation:

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