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Licemer1 [7]
3 years ago
5

A construction company is building a fence that is 2/3 mile long. They can build 1/6 mile of fence every hour. How many hours wi

ll it take them to complete the fence using a number line
Mathematics
2 answers:
vesna_86 [32]3 years ago
5 0
It will take them 4 hours because if you take 2/3, it is = to 4/6 and 1/6 times 4 is 4/6
creativ13 [48]3 years ago
5 0

Answer: 4 hours

Step-by-step explanation:

Given : A construction company is building a fence that is \dfrac{2}{3} mile long.

i.e. Length of fence =  \dfrac{2}{3} mile .

They can build \dfrac{1}{6} mile of fence every hour.

i..e Time taken to build \dfrac{1}{6} mile fence= 1 hour

Then, Time taken to build 1 mile fence=\dfrac{1}{\dfrac{1}{6}}=6\text{ hour}    [By Unitary method]

Then , Time taken to build  \dfrac{2}{3} mile fence = \dfrac{2}{3}\times6\text{ hour}    

=4 hours.

Hence, it will take 4 hours to complete the fence.

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3 years ago
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The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
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Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
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Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
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Final result :<span> (x + 3) • (x - 12)</span>
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Step-by-step explanation:

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