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Hoochie [10]
3 years ago
6

Solve x and y x/5+y/6=12

Mathematics
1 answer:
Arlecino [84]3 years ago
4 0

Answer:

2435

Step-by-step explanation:

add your numbers

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Four cookies and three cupcakes code $13.25. Five cookies and two cupcakes cost $11.75. Give the system of equations that could
Kaylis [27]

Answer:

  • cookie: $1.25
  • cupcake: $2.75

Step-by-step explanation:

Let x and y represent the cost of a cookie and a cupcake, respectively.

  4x +3y = 13.25

  5x +2y = 11.75 . . . . . . the system of equations

___

By Cramer's rule:

  x = (3(11.75) -2(13.25))/(3(5) -2(4)) = 8.75/7 = 1.25

  y = (13.25(5) -11.75(4))/7 = 19.25/7 = 2.75

The cost of one cookie is $1.25; the cost of one cupcake is $2.75.

_____

Cramer's rule gives the solution to the system of equations ...

  ax +by =c

  dx +ey = f

as ...

  ∆ = bd -ea

  x = (bf -ec)/∆

  y = (cd -fa)/∆

7 0
3 years ago
Solve the system of equations algebraically.<br> 4x - 3y = 6<br> 6x - 5y = 6
muminat

Answer: x=6  y=6

Step-by-step explanation:

\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\

Divide both parts of the equation by 2:

y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6

3 0
2 years ago
The side length of a square is represented by the expression 2x + 5. Which expression represents the difference between the area
musickatia [10]

Answer:

4x^2 + 22x + 15

Step-by-step explanation:

The side length of a square is represented by the expression 2x + 5.

The area of a square is given as:

A = a^2

where a = length of side of the square

The area of the square is therefore:

A = (2x + 5)^2\\\\A = (2x + 5)(2x + 5)\\\\A = 4x^2 + 20x + 25

The perimeter of a square is given as:

P = 4a

The perimeter of the square is therefore:

P = 4(2x + 5) \\\\P = 8x + 10

The difference between the area of the square and the perimeter of the square is:

4x^2 + 30x + 25 - (8x + 10)\\\\4x^2 + 30x + 25 - 8x - 10\\\\4x^2 + 30x - 8x + 25 -10\\\\4x^2 + 22x + 15

The expression that represents the difference between the area and the perimeter of the square is:

4x^2 + 22x + 15

7 0
3 years ago
How does the Pythagorean Table help you with addition?
scZoUnD [109]

Answer:

The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal. The same principles can be used for air navigation.

Step-by-step explanation:

Internet

7 0
3 years ago
Your answer<br> What is the value of the expression? -50 + 51? *
bija089 [108]

Answer:

The answer is 1

Step-by-step explanation:

-50+50=1

3 0
3 years ago
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