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iris [78.8K]
3 years ago
13

Turn 32/64 into a percent?

Mathematics
2 answers:
alexandr402 [8]3 years ago
5 0


To turn 32/64 into a percent, you have to divide the numerator by the denominator and then multiply the answer by 100.

So, for this question, divide 32 by 64 which is 0.50. Multiply this decimal by 100 and you get 50.

So 50% is the percent for 32/64.

Hope it helps :)

Lunna [17]3 years ago
3 0
32/64 is 0.5 so 50% hope that helps

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Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x i
serious [3.7K]

a.

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

b.

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³  - 72x² + 324x - 432 = 0

x³  - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³  - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So,  x³  - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So,  x³  - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Learn more about volume of a box here:

brainly.com/question/13309609

6 0
2 years ago
Can someone please help with these please!!
ryzh [129]

Answer:

27.57

is the Mean

20 is the mode (most repetative)

26 is the median (the number in the middle when in order)

Step-by-step explanation:

SO they look better by using their Mean Score 27.57 Points

5 0
2 years ago
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8 pencils for 14 dollars
Schach [20]

Answer:

1 pencil will be for 1.75 $

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2 years ago
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15 pts!!!<br><br> solve for n.<br><br> −1/2n = 1/3 + 5/8
Nimfa-mama [501]
The answer is - 1 and 11/12.
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What units will you use to measure an Indian ocean
Anastaziya [24]

Answer:

Kilometers most likely for any other measurement would be to small to do so otherwise.

8 0
2 years ago
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