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Nata [24]
3 years ago
12

A jar contains n nickels and d dimes. There is a total of 206 coins in the jar. The value of the coins is $13.95. How many nicke

ls and how many dimes are in the jar? ​
Mathematics
1 answer:
OLga [1]3 years ago
6 0

Answer:

73 dimes and 133 nickels

Step-by-step explanation:

$13.95 = 1395 cents

5n + 10d = 1395     (since each nickel is 5 cents and each dime is 10 cents)

5n = 1395 - 10d      (subtract 10d from both sides to solve for n)

n = 279 - 2d

n + d = 206

279 - 2d + d = 206   (substitute n with the previous expression)

279 - d = 206         (add variable d and -2d)

-d = -73        (solve for d and divide both sides by negative 1)

d = 73          

n + 73 = 206 (solve for n and subtract both sides by 73)  

n = 133

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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

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    x =  5.66

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

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8 0
3 years ago
What is the measure of EG?
IrinaVladis [17]
The first thing you should know in this case is that a circumference has a total measure in 360 degrees.
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 We substitute the values:
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3 years ago
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Mrrafil [7]

Answer:

x=-4

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Step-by-step explanation:

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6 0
3 years ago
Please help again thank you in advance
mojhsa [17]

Answer:

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Step-by-step explanation:

Since the triangle is equilateral then all 3 sides are equal in length.

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