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S_A_V [24]
2 years ago
7

What is the solution to the equation represented by the model below?

Mathematics
2 answers:
Anna35 [415]2 years ago
5 0
Subtract 4x from the right side and add it to the left.

Now it is 7x + 8 =6

Subtract 8 from the left side and add it to the right.

7x = 14

Divide both sides by 7
7x/7 = 14/7

X = 2
Verizon [17]2 years ago
3 0

Left side:

x+x+x+1+1+1+1+1+1+1+1 = 3x + 8


Right side:

x+x+x+x++1+1+1+1+1+1


Left side = Right side to solve x


3x + 8 = 4x + 6

Subtract 4x from both sides

3x + 8 - 4x = 4x + 6 - 4x

Simplify

-x + 8 = 6

Subtract 8 from both sides

-x + 8 - 8 = 6 - 8

Simplify

-x = -2

Multiply both sides by (-1)

-x * (-1) = -2 * (-1)

Simplify

x = 2


Answer

C. x = 2


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The number of bacteria in a Petri dish increases by 18% every hour. If there were initially 200 bacteria placed in the Petri dis
In-s [12.5K]

Answer:

Step-by-step explanation:

an exponential equation has the form y=ar^x where y=final amount, a=initial amount, r=rate, and x=time, in this case

y=200(1.18)^x

5 0
3 years ago
How many triangles can be constructed with angles measuring 50º, 90º, and 40º?
NeX [460]

Answer: Infinite


Step-by-step explanation:

We know that in a triangle the sum of all the interior angles must be 180°.

The given angles 50º, 90º and 40º

The sum of the angles 50º+ 90º + 40º= 180°

Thus, a triangle is possible with the given measurement.,

Let there is another triangle with the given angles, then by AAA similarity criteria they are similar.

Similarly, all the triangles with the same measurements of the angles must be similar.

Therefore, there are infinite number of triangles can be possible with angles measuring 50º, 90º, and 40º.

6 0
2 years ago
Read 2 more answers
Express the system as AX = B; then solve using matrix inverses
Wittaler [7]

Answer with explanation:

1. The given equations are

3x -5 y=2

-x+2 y= 0

⇒The matrix in the form of , AX=B, is

A=\left[\begin{array}{cc}3&-5\\-1&2\end{array}\right] ,\\\\ X=\left[\begin{array}{c}x&y\end{array}\right],\\\\B=\left[\begin{array}{c}2&0\end{array}\right]

\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B

Adj.A=Transpose of cofactor of Matrix A

Adj.A=\left[\begin{array}{cc}2&1\\5&3\end{array}\right] ,\\\\ |A|=6-5\\\\|A|=1\\\\\left[\begin{array}{c}x&y\end{array}\right]=\left[\begin{array}{cc}2&5\\1&3\end{array}\right] \times \left[\begin{array}{c}2&0\end{array}\right]\\\\x=4, y=2

2.

The given equations are

x+y-z=2

x+z=7

2 x +y+z=13

⇒The matrix in the form of , AX=B, is

   A=\left[\begin{array}{ccc}1&1&-1\\1&0&1\\2&1&1\end{array}\right]\\\\ X=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\\\\B= \left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B\\\\a_{11}=-1,a_{12}=1,a_{13}=1,a_{21}=-2,a_{22}=3,a_{23}=1,a_{31}=1,a_{32}=-2,a_{33}=-1\\\\|A|=1\times(0-1)-1\times(1-2)-1\times(1-0)\\\\=-1+1-1\\\\|A|=-1\\\\Adj.A=\left[\begin{array}{ccc}-1&-2&1\\1&3&-2\\1&1&-1\end{array}\right]

\frac{Adj.A}{|A|}=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\\\\X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\times\left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\x=3,y=3,z=4

7 0
3 years ago
In a completely randomized design involving three treatments, the following information is provided:Treatment 1Treatment 2Treatm
Aliun [14]

Answer:

7.25

Step-by-step explanation:

Given :

___________ Sample size __ sample mean

Treatment 1 ____ 5 _______ 4

Treatment 2 ____ 10 ______ 8

Treatment 3 ____ 5 _______ 9

Sample size = (5 + 10 + 5). = 20

Overall mean = ((5*4). + (10*8) + (5*9)) / 20

Overall mean = (20 + 80 + 45) / 20

= 145 / 20

= 7.25

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2 years ago
There are 12 students who have finished their assignments early. The
aliya0001 [1]

I think that It’s 25%

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3 years ago
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