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MArishka [77]
3 years ago
14

The length of a rectangle is 2 times it’s width if the perimeter of the rectangle is 36 inches find it’s length and width

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

P = Perimeter            

L = Length          

W = Width

Perimeter of rectangle = L + L + W + W        

or P = 2L + 2W

You know:

P = 36 inches

L = 2W          [length is(=) 2 times it's width]

W = ?

P = 2L + 2W    

Substitute/plug in what you know, plug in 2W for L since L = 2W

36 = 2(2W) + 2W         Simplify

36 = 4W + 2W

36 = 6W        Divide 6 on both sides

6 = W              Now that you know the width, you can find the length:

L = 2W

L = 2(6)

L = 12

L = 12 in

W = 6 in

PROOF

P = 2(12) + 2(6)

P = 24 + 12

P = 36

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aul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt
vodomira [7]

Set up a system of equations:


\text{Total shirts bought}

x + y = 9


\text{Total cost}

10x + 7y = 72


x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.


For the first equation, subtract y from both sides to get x by itself:


x = 9 - y


We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:


10(9-y) + 7y = 72


Distribute the 10 to both terms in parentheses:


10 \times 9 = 90

10 \times -y = -10y


90 - 10y +7y = 72


Combine like terms:


-10y + 7y = -3y

90 - 3y = 72


Subtract 90 from both sides:


-3y = -18


Divide both sides by -3 to get y by itself:


y = 6


6 long sleeve shirts were bought.


Now you have a value for y. Input this value into the first equation:


x + 6 = 9


Subtract both sides by 6 to get x by itself:


x = 3


3 tee shirts were bought.


The answer is B. 3 tee shirts and 6 long sleeve shirts.

4 0
3 years ago
Read 2 more answers
Help please and thank you
stiks02 [169]

First, we can see that there are four sides, and none of these equation contradict each other, so it is safe to say that <em>this is a quadrilateral</em>.

Second, all of the equations have the slope of <em>0 or undefined</em>, so it is a rectangle.

Lastly, the four points of intersection shows us that the side lengths are <em>3 and 5</em> units, so the area of it is 15 units².

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3 years ago
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Please help! (picture below)
jasenka [17]

Answer:

$3600

Step-by-step explanation:

hope that helps

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What is the value of the expression below?<br> -4(5 - 10)' +36
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Answer:

20

Step-by-step explanation:

-4 x (-5) = 20

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2 years ago
3(2x + 5)2(x + 6)<br> Can someone help me :)
Mamont248 [21]

Answer:

6x+15>2x+12

6x-2x>12-15

4x>-3

x>-3/4

Step-by-step explanation:

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3 years ago
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