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leva [86]
3 years ago
6

In any difference 6th grade class the ratio of boys and two girls is 3:2 how many boys and how many girls could there be in one

class is there more than one possible answer
Mathematics
1 answer:
Artemon [7]3 years ago
4 0
Yes there can be more than one answer because it can go on forever
3 to 2
6 to 4
9 to 6
12 to 8
it can go on forever
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A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.36/ft2, the material fo
blagie [28]

Answer:

  • length: 2 ft
  • width: 2 ft
  • height: 10 ft

Step-by-step explanation:

The total cost of the top and bottom is $0.36 + 0.14 = $0.50 per square foot.

The total cost of a pair of opposite sides is $0.05 +0.05 = $0.10 per square foot.

A minimum-cost box will have the cost of any pair of opposite sides be the same. Here, that means the box will have a side area that is 5 times the area of the top or bottom.

Since the base is square, that means the box is the shape of 5 cubes stacked one on the other. Each of those would be 8 ft³, so would have edge dimensions of ∛8 = 2 feet. The height is 5 times that, or 10 ft.

The box is 2 feet square by 10 feet high:

  • length: 2 ft
  • width: 2 ft
  • height: 10 ft

_____

If you feel the need to write an equation, you can let x represent the edge length of the base. Then the cost of the top and bottom will be ...

  top&bottom cost = 0.50·x²

The height of the box is 40/x², so the cost of the four sides will be ...

  side cost = (0.05)(4x)(40/x²) = 8/x

This is minimized when the derivative of the sum of these costs is zero:

  cost = top&bottom cost + side cost

  cost = 0.50x² + 8/x

  d(cost)/dx = 1.00x -8/x² = 0

Multiplying by x², we get ...

  x³ -8 = 0

  x = ∛8 = 2 . . . . . . as above

  height = 40/x² = 40/4 = 10 . . . . . as above

6 0
3 years ago
About how much farther is May's softball throw than Robert's throw?
Degger [83]

Answer: Mays throw was 9.67 feet farther than Roberts.

5 0
2 years ago
|BRAINLIEST|
yaroslaw [1]

Answer:

1/8

Step-by-step explanation:

you just divide the fraction by 4 lol

6 0
3 years ago
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dimulka [17.4K]

Answer: b

Step-by-step explanation:

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3 years ago
The graph of a line has a slope of 3 and passes through the point (–4, –5). What is the equation of the line in point-slope form
Contact [7]
Y + 5 = 3(x + 4)
Because in point-slope format, it is: y-(y-value) = m (x-(x-value)), where m=slope, and the point: (-4,-5) can be written as: (x-value,y-value),
So y - -5 = 3 (x - -4)
3 0
3 years ago
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