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san4es73 [151]
3 years ago
14

Please find the answer

Mathematics
1 answer:
Serggg [28]3 years ago
8 0

Answer:

x^3 + 1/x^3 = 488

Step-by-step explanation:

  • x^2 + 1/x^2 = 62
  • x^2 + 1/x^2 + 2 = 64
  • ( adding 2 in both sides )
  • (x + 1/x ) ^2 = 64
  • x + 1/x = 8

now,

  • ( x+ 1/x ) ^ 3 = 512
  • x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x )
  • x^3 + 1/x^3 + 3 ( 8 )
  • ( since x + 1/x = 8 )
  • x^3 + 1/x^3 + 24 = 512
  • x^3 + 1/x^3 = 488

hence, we got x^3 + 1/x^3 = 488

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A certain bag of potting soil is 1/4 peat moss, and the rest is dirt, what part is dirt
AVprozaik [17]
If you do the math you'll get 3/4 of the bag is dirt.
4 0
3 years ago
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Solve for y: 3(4y - 1) = 2(5y + ).<br> The solution is y =<br> The solution is
timofeeve [1]

Answer:

12y-3=2(5y+1/2)

12y-3=10y+1

12y-10y-3=1

12y-10y=1+3

2y=1+3

2y=4

y=2

Step-by-step explanation:

8 0
3 years ago
Whats the density of an object with the length of 5.0 cm a height of 3.0 and width of 15.0 cm and a mass of 24 grams
Sphinxa [80]

Answer:

The density of the object is 0.1067 grams per cubic centimeter. (Rounded off to 4th decimal)

Step-by-step explanation:

Density = [Mass/Volume]

Here we have been given the dimensions of the object.

Volume = Height * Width * Length

Volume = 3.0cm*15.0cm*5.0cm

             =225cm^{3}

Now we can substitute the Mass and the Volume to the density equation.

Density = [Mass/Volume]

             =\frac{24grams}{225cm^{3} }

             =0.1067 grams per cubic centimeter. (Rounded off to 4th decimal)

4 0
3 years ago
Miley has a shoe shelf 33 inches wide. if each of her shoes is 2 3/4 inches wide how many shoes can she fit on the shelf?​
Ksivusya [100]

Answer:

12 shoes

Step-by-step explanation:

Divide 33 by 2 3/4

4 0
3 years ago
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Un grupo de compañeros de clase está planificando un viaje de cada uno de ellos hicieron aportación de 14 pesos para gastos de v
Crank

Answer:

$14.8

Step-by-step explanation:

There is a mistype in the question. It should say: ... <em>si cada uno de ellos hicieron una contribución de </em><em>dieciseis</em><em> pesos...</em>

So if everybody contributes $14, they make a total of 14*x, where x denotes the number of students. In this scenario, $4 are left, calling y to the cost of the trip, then:

14*x = y - 4 (eq. 1)

In the other scenario, everybody contributes $16 and $6 are in excess, so

16*x = y + 6 (eq. 2)

subtracting eq. 1 to eq. 2:

16*x - 14*x = y + 6 - (y - 4)

2*x =  y + 6 - y + 4

2*x = 10

x = 10/2 = 5

Replacing this value in eq. 1:

14*5 = y - 4

70 + 4 = y

y = $74

If every student pays: 74/5 =  $14.8, then they would get altogether the exact cost of the trip

7 0
3 years ago
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