Answer:
A. length = 23 cm; width = 5 cm
Step-by-step explanation:
So if 4 times the width would be 
and 3 more than would be 
, the equation would be 
. If the perimeter is 56, then the new equation, 
can be formed. This simplifies to 
, then to 
, then to 
, and finally, 
. So the width is 5, and now plug it into the first equation.
, becomes 
, becomes 
.
So the dimensions are: length = 23 cm, width = 5 cm.
*And just to be sure, 
which is correct.
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Square Rug
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Area = Length x Length
Area = 6.3 x 6.3
Area = 39.69 ft²
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Rectangle Rug
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Area = Length x Width
Area = 4.8 x 8.2
Area = 39.36 ft²
39.69 ft² is bigger than 29.36 ft², so the square rug is bigger.
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Ans: The Square Rug covers a greater area
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Answer:
-5y + 8x
Step-by-step explanation:
$421,369.20 , I just had this question on Apex.
Equation 1) 3x + 2y - 5z = 3
Equation 2) 4x - 2y - 3z = -10
Equation 3) 5x - 2y - 2z = -11
Add equation 1 with equation 2.
Equation 4) 7x - 8z = 7
Then subtract equation 3 from equation 2.
Equation 5) -x -z = 1
Multiply all of equation 5 with 7.
5) -7x - 7z = 7
4) 7x - 8z = 7
Add equations together.
z = 14
Plug in 14 for z in equation 4.
7x - 8z = 7
7x - 8(14) = 7
7x - 112 = 7
7x = 119
x = 17
Plug in 17 for x in equation 1, and 14 for z.
1) 3x + 2y - 5z = 3
3(17) + 2y - 5(14) = 3
51 + 2y - 70 = 3
2y - 19 = 3
2y = 22
y = 11
So, x = 17, y = 11, and z = 14
~Hope I helped!~
