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Vera_Pavlovna [14]
3 years ago
6

How can I reduce 60/1000 into simplest form?

Mathematics
2 answers:
sveta [45]3 years ago
8 0
Divide both sides by 20 and get 3/50
ozzi3 years ago
6 0
3/50 because the greatest common factor is 20
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To find a perimeter, add all sides together:

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Perimeter: 2(2) + 2(16) = 4 + 32 = 36
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A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.
Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

f(x,y,z)= xy+2xz+2yz.....(1)

Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

\Rightarrow z=\frac{19652}{xy}......(2)

putting the value of z in the equation (1)

f(x,y)=xy+2x(\frac{19652}{xy})+2y(\frac{19652}{xy})

\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}

The partial derivatives are

f_x=y-\frac{39304}{x^2}

f_y=x-\frac{39304}{y^2}

To find the dimension of the box set the partial derivatives f_x=0 and f_y=0.Therefore y-\frac{39304}{x^2}=0

\Rightarrow y=\frac{39304}{x^2}.......(3)

and   x-\frac{39304}{y^2}=0

\Rightarrow x=\frac{39304}{y^2}.......(4)

Now putting the x in equation (3)

y =\frac {39304}{(\frac{39304}{y^2})^2}

\Rightarrow y=\frac{y^4}{39304}

\Rightarrow y^3= 39304

⇒y=34 cm

Then \Rightarrow x=\frac{39304}{34^2} =34 cm.

Putting the value of x and y in the equation (2)

z=\frac{19652}{34 \times 24}

  =17 cm.

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

4 0
3 years ago
SOMEONE THAT CAN HELP PLEADE
AleksAgata [21]

Answer:

60 times

Step-by-step explanation:

The numbers are 1, 2, 3, 4, 5, 6

1, 3, and 5 are odd

therefore half the numbers are odd

therefore there is a 50% chance she will get an odd number

50% * 120 = 60

so the answer is 60

8 0
3 years ago
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