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Whitepunk [10]
4 years ago
11

Latoya is on her way home in her car. She has driven 30 miles so far, which is five-sixths of the way home. What is the total le

ngth of her drive?
Mathematics
2 answers:
Kitty [74]4 years ago
7 0

Answer:

36

Step-by-step explanation:

5/6 of x = 30 miles

Multiply each side by 6 to get rid of the fraction

5x = 180

Divide each side by 5

x = 36

babymother [125]4 years ago
3 0
Did this incorrectly, see the correct way to do it above!
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5 \sqrt{3}i

Step-by-step explanation:

Assuming one root of a polynomial function is

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3 years ago
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3 years ago
Two collinear points are given in the table. Give a third point that is also on this line
3241004551 [841]

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multiply as a fraction <3

Step-by-step explanation:

7 0
2 years ago
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A certain television is advertised as a 80-inch TV (the diagonal length). If the
Aleksandr [31]

Answer: 48 inches tall

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3 0
3 years ago
A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
Gnoma [55]

Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

8 0
3 years ago
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