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ivolga24 [154]
3 years ago
6

Frank wants to build a garden with the dimensions below.

Mathematics
2 answers:
dexar [7]3 years ago
7 0
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x 

Area = length * width 
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85

(2x + 17) ( x - 5)

x = -17/2 or  x = 5

Let x = 5 ; 

length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7

 Area = 13 x 7 = 91

Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
lozanna [386]3 years ago
7 0

Answer:

The length is 13 and the width is 7, but the length of fencing, is 40, because there are 4 sides.  Two thirteens = 26 + Two sevens = 14

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2 years ago
Write an equation for when k= 1/6
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2/6 - 1/6 = k

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Solve the system: <br> 2x+6y=36<br> x+4y=20
Assoli18 [71]

<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

  2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

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2 years ago
13 gallons of water are used to completely fill 3 fish tanks. If each tank holds the same amount of water, how many gallons will
joja [24]

Answer:

4 1/3

Step-by-step explanation:

:) Can i get Brainliest? :)

6 0
3 years ago
Read 2 more answers
You are looking at two area rugs for your bedroom. One is a square with a side length of 6.3 feet. The other is a rectangle that
Dmitry [639]
-----------------------------------------------------------------
Square Rug
-----------------------------------------------------------------
Area = Length x Length
Area = 6.3 x 6.3
Area = 39.69 ft²

-----------------------------------------------------------------
Rectangle Rug
-----------------------------------------------------------------
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.

-----------------------------------------------------------------
Ans: The Square Rug covers a greater area
-----------------------------------------------------------------
8 0
3 years ago
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