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LiRa [457]
2 years ago
15

An equation is shown below:

Mathematics
2 answers:
Dahasolnce [82]2 years ago
7 0
Part A: first multiply 2 by x and -3, then combine the like terms, after that add 6 from both sides, then subtract 6x from both side, the answer is -5.
 4x + 2(x-3) = 4x + 2x - 11
          4x +2x -6 = 4x + 2x - 11
           6x -6 = 6x - 11
           6x = 6x -11 +6
         6x = 6x -5
          6x-6x= -5 
         0 = -5 
 part B) add the like terms
Eva8 [605]2 years ago
5 0

Answer:  There is no solution to the equation ad we have used distributive property to solve the equation.

Step-by-step explanation:  The given equation is

4x+2(x-3)=4x+2x-11.

PART A:

The solution of the above equation is as follows:

4x+2(x-3)=4x+2x-11\\\\\Rightarrow 4x+2x-6=6x-11\\\\\Rightarrow 6x-6=6x-11\\\\\Rightarrow -6=-11,

which cannot be TRUE.

So, the equation will not have any solution.

PART B: We have used DISTRIBUTIVE PROPERTY to solve the equation, which states that

for any real numbers a, b and c

(i) a(b + c) = ab + ac,

(ii) (a + b)c = ac + bc.

Thus, there is no solution to the equation ad we have used distributive property to solve the equation.

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Create a system of equations to represent the word problem. Then solve using the linear combination/elimination method. Show all
Leno4ka [110]

Answer:

Solution given:

model A printers [a] prints=80books per day

model B printers [b] prints=55books per day

total no of printers =9

no of model A printers be x

and

no of model B printers be [9-x]

According to the question;

ax+(9-x)b=670 books

substituting value of a and b; we get

80x+(9-x)55=670

80x-55x+495=670

25x=670-495=175

x=\frac{175}{25}=7

So;

no of model A printers =x=<u>7</u>

no of model B printers =9-x=9-7=<u>2</u>

<u>is</u><u> </u><u>your</u><u> </u><u>answer</u><u>.</u>

8 0
2 years ago
Read 2 more answers
In a population distribution, a score of x=57 corresponds to z=-0.25 and a score of x=87 corresponds to z=1.25. Find the mean an
Serggg [28]

Here is dependence between scores and x-values:

Z_i=\dfrac{X_i-\mu}{\sigma},

where \mu is the mean, \sigma is standard deviation and i changes from 1 to 2.

1. When i=1, Z_1=-0.25,\ X_1=57, then

-0.25=\dfrac{57-\mu}{\sigma}.

2. When i=2, Z_2=1.25,\ X_2=87, then

1.25=\dfrac{87-\mu}{\sigma}.

Now solve the system of equations:

\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.

\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.

Subtract first equation from the second:

1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.

Then

1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.

Answer: the mean is 62, the standard deviation is 20.

3 0
3 years ago
Read 2 more answers
ZA and B are supplementary angles. If m A = (2x – 14) and m
Elena-2011 [213]

Answer:

∡ZA = 66°

Step-by-step explanation:

Suplementary angles sum 180°

ZA + ZB = 180°

then:

(2x - 14)° + (3x-6)° = 180°

2x + 3x - 14 - 6 = 180

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 200/5

x = 40

then:

∡ZA = (2x - 14)

∡ZA = (2*40 - 14)

∡ZA = (80-14)

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7 0
3 years ago
What is <br> 8/9 times 3/16
lianna [129]

Answer:

Step-by-step explanation:

8x9=72 3x16=48 72+48=120

8 0
3 years ago
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Centimeter is bigger than millimeter
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