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Nastasia [14]
3 years ago
8

7x-2y=-5which ordered pair is a solution of the equation

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

What ordered pair my closest answer is y = 5/2+7x/2

Step-by-step explanation:

Subtract 7x from both sides of the equation.

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Please help me complete the blanks!!
DaniilM [7]

Step-by-step explanation:

If half of the tuna sandwiches were on white bread then 21 of them would be white, meaning the other half would be on brown bread.

Then if 25% of ham sandwiches were on brown bread then 25% of 32 would be 8, so the final 75% would be on white bread, which would be 24.

Finally, with 20 more white bread sandwiches sold than brown bread it couldn’t be 80 and 20, it would be 40 brown bread in total and 60 white bread in total adding up to 100, as it says white sells 20 more than brown not only 20.

To finish this question you would add up the tuna and ham for white (21+24=45) then minus that from 60 (60-45=15) so there were 15 cheese sandwiches on white bread. And then for brown (21+8=29) then minus that from 40 (40-29=11) so therefore there are 11 cheese sandwiches on brown bread.

Answer:

Brown:

Tuna-21

Cheese-11

Ham-8

Total-40

White:

Tuna-21

Cheese-15

Ham-24

Total-60

Hope that helps!

7 0
3 years ago
A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.
Montano1993 [528]

Answer:

  x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

  ∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

  x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

  area = xy +2(xz +yz)

  volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

  L = xy +2(xz +yz) +λ(xyz -8788)

  partial with respect to x: 0 = y+2z +λyz

  partial with respect to y: 0 = x +2z +λxz

  partial with respect to z: 0 = 2x+2y +λxy

  partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

  λ = (y +2z)/(yz) = 1/z +2/y

  λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

  1/z +2/y = 1/z +2/x   ⇒   x = y

The third equation then tells us ...

  λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

  1/z +2y = 2/x +2/y   ⇒   z = x/2

This is the result we started the answer with:

  x = y = 2z = ∛(2·8788 cm³)

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