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Stells [14]
3 years ago
15

PLEASE HELP QUICKKKKKKKK

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

9514 1404 393

Explanation:

Using a random number generator to choose coefficients, we can substitute the required solution to find the constants in the equations. Here is one possible set of equations.

 17x +7y +8z = 6

  12x -6y +z = -16

  14x +8y +11z = 16

__

<em>Additional comment</em>

"Standard form" requires the x-coefficient be positive. Truth be told, the random number generator came up with negative numbers for the first and last equations (on the second try). On the first try, it came up with a couple of zero coefficients. Such is the behavior of random numbers.

The trick with choosing a set of numbers "by hand" is doing it in such a way that the equations are independent.

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3 years ago
Reduce 3/3 x 6/12 to the lowest form
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Does the system have one solution, no solution, or infinitely many? Use your substitution to justify your answer
Taya2010 [7]

Answer: It has one solution. The solution is (x,y) = (-4,-3)

Add up the equations doing so straight down

x + -x = 0x = 0 so the x terms go away

2y + 2y = 4y

-10 + (-2) = -12

We end up with 4y = -12 so y = -3 after you divide both sides by 4. Use this y value to find the value of x

x+2y = -10

x + 2(-3) = -10

x - 6 = -10

x = -10+6

x = -4

The single solution is (x,y) = (-4,-3)

As a check, plug this solution into each equation to see if you get a true statement or not. Let's do so with the first equation

x+2y = -10

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and then the second equation

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4 0
3 years ago
Easton wants to put a variety of donuts in a display case. The case is large enough to hold 100 donuts. Complete the table below
shutvik [7]

The amounts for each donut are given as follows:

  • Strawberry: 15.
  • Chocolate: 45.
  • Sprinkle: 40.

<h3>How to obtain the amounts?</h3>

The amounts for each donut are found applying the proportion, multiplying the decimal equivalent of each percentage by the total number of donuts.

From the problem, the total number of donuts is given as follows:

100 donuts.

The percentages of each type of donuts are given as follows:

  • Strawberry: 15%.
  • Chocolate: 45%.
  • Sprinkle: 40%.

The decimal equivalent of each percentage is given as follows:

  • Strawberry: 0.15.
  • Chocolate: 0.45.
  • Sprinkle: 0.4.

Hence the amounts are given as follows:

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  • Chocolate: 45, as 0.45 x 100 = 45.
  • Sprinkle: 40, as 0.4 x 100 = 40.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

3 0
1 year ago
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