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3 years ago

5. The perimeter of a polygon is__________ equal to 2w+21.

Mathematics

1 answer:

mart [117]3 years ago

4 0

The answer to this question is A

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Solve the inequality. 2(4 + 2x) ≥ 5x + 5? x ≤

murzikaleks [220]

Treat as an equality, except flip the sign direction when yo multiply or divide both sides by a negative number

first distribute
2(4+2x)>5x+5
distribute
8+4x>5x+5
minus 4x fro both sides
8>x+5
minus 5 from both sides
3>x
x<3

x is less than or equal to 3

3 0

3 years ago

Read 2 more answers

Need help asappp

lozanna [386]

Answer:

552

Step-by-step explanation:

4 0

3 years ago

Find the mean of the number set. 93, 81, 94, 78, 89, 92, 94, 99 Your answer divided by 7

dimaraw [331]

Answer:

mean= 90

Step-by-step explanation:

The mean is the terms added together, then divided by the number of terms (in this case, 8):

$93+81+94+78+89+92+94+99=720\\\\\frac{720}{8} =90$

Done.

7 0

3 years ago

Read 2 more answers

Create a matrix for this system of linear equations, The determinant of the coefficient matrix is

marin [14]

Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation: The given system of linear equations is :

$2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

$D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.$

Now, from equations (ii) and (iii), we have

$x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

$2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.$

From equations (iv) and (v), we get

$y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.$

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0

3 years ago

Martin Ellis sells a line of cooking pots. He is paid a salary of $1,150 a month plus a 10% commission on all sales. Last month

mel-nik [20]

Answer:$4,650.00

Step-by-step explanation:35,000x10%=3,500

3,500+1,150=4,650

5 0

3 years ago