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Lyrx [107]
3 years ago
12

What is the percent of increase from 54 to 81?

Mathematics
2 answers:
bazaltina [42]3 years ago
6 0
The increase percentage is 50 percent because the new value is greater than the old value.
AlladinOne [14]3 years ago
4 0

Answer:

<h2>50</h2>

• A change from 54 to 81 represents a positive change (increase) of 50%

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The augmented matrix of a system of equations has been transformed to an equivalent matrix in​ row-echelon form. Using​ x, y
jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:

  • There is a row of all zeros at the bottom of the matrix;
  • The first non-zero element of any row is 1, which called leading role;
  • The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]

or in system form:

x + 2y + 2z = 4

       y + 3z = 9

               z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

4 0
3 years ago
Find the measure of an angle that is four hundred eighty-five less than four times its supplement.
Ludmilka [50]
Is 121.25 because 485 divided by 4 is 121.25
4 0
3 years ago
What is the value of x?<br> 11 (9 - 2x) = -(12x + 11)
fenix001 [56]
The value of x = 11.


Explanation: 99-22x=- 12x - 11


Collect like terms: -22x + 12x = -11 - 99



Divide both sides: -10x = -110 by -10
3 0
3 years ago
Read 2 more answers
The wall is 4m long and 3m board.If it has volume of 720000cm.find the height of the wall​
OLEGan [10]

Answer:

Step-by-step explanation:

l = 4m = 400 cm

w = 3m = 300 cm

Volume  = 720000 cubic cm = 720000

length * width * height = 720000

400 *  300 * height = 720000

height = 720000 / 400 * 300 = 72/12 = 6 cm

6 0
3 years ago
What is the remainder when x3 - 1 is divided<br> by (x + 2)?
Viktor [21]

Given:

The polynomial x^3-1 is divided by (x+2).

To find:

The remainder.

Solution:

Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is p(c).

Consider the polynomial:

p(x)=x^3-1

It is divided by (x+2). So, by the remainder theorem the remainder is p(-2).

Substituting x=-2 in the above polynomial, we get

p(-2)=(-2)^3-1

p(-2)=-8-1

p(-2)=-9

Therefore, the remainder is -9.

4 0
3 years ago
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