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Serggg [28]
3 years ago
13

The perimeter of the patio is 64 feet. The width of the patio is (x+2) feet and the length of the patio is (x+6) feet. What are

the dimensions of the patio?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
5 0

The formula for the perimeter is P = 2<em>w</em> + 2<em>l</em>, where <em>w</em> is the width and <em>l</em> is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:

P = 2<em>w</em> + 2<em>l</em>

64 = 2(x+2) + 2(x+6) ⇒ Distributive property

⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms

⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides

⇒ 48 = 4x ⇒ Divide both sides by 4

⇒ x = 12

Then, we use x = 12 and substitute it in to find the length and width

<em>Width</em> = (x+2) = (12+2) = 14

<em>Length</em> = (x+6) = (12+6) = 18

The dimensions of the patio is <u>14 by 18</u>

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Now reduce the fraction with y.
\frac{24 x^{2} }{128 y^{4} }
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\frac{3 x^{2} }{16 y^{4} }
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You and a friend are going camping for the night and you both bring camping stoves. Your stove is 25 percent efficient, and uses
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<u>Answer-</u> 0.05 lit of propane fuel will your friend need in order to boil 10 cups of water.

<u>Solution- </u>

The more efficient the stove is ,less the fuel you need to burn.

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Given

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4 0
3 years ago
A glass is 4/7 full. Then 70 cm³ orange juice is poured in. The glass is now 3/4 full.
Nataly_w [17]

Answer:

The volume of the glass is 217.8 cm³

Step-by-step explanation:

If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.

Let v represent the volume of the glass.  

Then (3/7)v + 70 cm³ = (3/4)v.

We need to solve this for v.

Here the LCD is 28.  Thus,

(3/7)v + 70 cm³ = (3/4)v →  (12/28)v + 70 cm³ = (21/28)v.

Subtracting  (12/28)v from both sides, we get:

70 cm³ = (9/28)v.

We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:

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The volume of the glass is 217.8 cm³

3 0
3 years ago
Read 2 more answers
20 POINTS BE QUICK!!!What is the solution set for x-3&gt;3? Please explain your answer!
Montano1993 [528]

Answer:

{x:x>6}

Step-by-step explanation:

x-3>3

Add 3 to each side

x-3+3>3+3

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{x:x>6}

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