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spayn [35]
3 years ago
12

What is the value of x? Justify each step.

Mathematics
2 answers:
jenyasd209 [6]3 years ago
8 0

Step-by-step explanation:

a. commutative property

b. substitution property

c. distributive property

d. inverse property

e. inverse property

Gnoma [55]3 years ago
7 0

Answer:

The value of x is 3.

Step-by-step explanation:

In the given diagram,

Points B lies in the direct line joining A and C,

Such that, AB = 3x, BC = 4x + 6 and AC = 27,

Thus, by Segment addition postulate,

AB + BC = AC

By substitution property,

3x + 4x + 6 = 27

By combining like terms,

7x + 6 = 27

Subtracting 6 on both sides,

7x = 21

By dividing both sides by 7,

x = 3

Hence, the value of x is 3.

You might be interested in
Justify x over 3 minus 7 equals 11
drek231 [11]

Answer:

54/3-7=11

Step-by-step explanation:

x/3<u>-7=11</u>

   +7 +7

(3)x/3=18(3)

     x=54

Check

54/3-7=11

18-7=11

11=11

4 0
3 years ago
Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes di
quester [9]

Resposta:

Primer rectangle:

Amplada = 11

Longitud = 14

Segon rectangle:

Amplada = 12

Longitud = 15

Tercer rectangle:

Amplada = 13

Longitud = 16

Explicació pas a pas:

Donat que:

Primer rectangle:

Amplada = x

Longitud = x + 3

2n rectangle:

Augment de la dimensió d'1 cm respecte al primer rectangle;

Amplada = x + 1

Longitud = x + 4

3r rectangle:

Augment de la dimensió de 2 cm respecte al primer rectangle;

Amplada = x + 2

Longitud = x + 5

Suma dels tres perímetres del rectangle:

Perímetre d'un rectangle: 2 (l + O)

Primer rectangle:

2 (x + x + 3) = 2 (2x + 3) = 4x + 6

2n:

2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10

3r:

2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14

Suma de perímetres = 162

(4x + 6 + 4x + 10 + 4x + 14) = 162

12x + 30 = 162

12x = 162 - 30

12x = 130

x = 11

Per tant,

Primer rectangle:

Amplada = 11

Longitud = 11 + 3 = 14

2n rectangle:

Amplada = 11 + 1 = 12

Longitud = 11 + 4 = 15

3r rectangle:

Amplada = 11 + 2 = 13

Longitud = 11 + 5 = 16

8 0
4 years ago
There are 800 students in the School of Business Administration. There are four majors in the School: Accounting, Finance, Manag
dezoksy [38]

Answer:

Major                    X_i             %

_________________________________________

Accounting              240              (240/800)*100=30%

Finance                    160               (160/800)*100=20%

Management           320              (320/800)*100=40%

Marketing                80                (80/800)*100= 10%

_________________________________________

Total                         800                     100%

Step-by-step explanation:

For this case we can create the following table calculating the percent frequency as:

\% = \frac{X_i}{n}

Where X_i represent the number of students for the i category and n the total sample size.

Major                    X_i             %

_________________________________________

Accounting              240              (240/800)*100=30%

Finance                    160               (160/800)*100=20%

Management           320              (320/800)*100=40%

Marketing                80                (80/800)*100= 10%

_________________________________________

Total                         800                     100%

The pie chart is on the figure attached.  We use excel to create it.

5 0
3 years ago
There is a 0.9991 probability that a randomly selected 31​-year-old male lives through the year. A life insurance company charge
jarptica [38.1K]

Answer:

a) Monetary values corresponding to the two events are:

-In case of surviving the year = -166$

-In case of a death in the year = 89834$

b) Expected value of the purchasing the insurance is -85 $

c) Yes, insurance company can make a profit with this policy.

Step-by-step explanation:

<em>a)</em> The man need to pay 166$ first to enroll the insurance policy. If he survives within a year, he will lose 166$. Otherwise, if he dies within a year he will profit 89834$.

<em>b)</em> Expected value of the purchasing the insurance as following:

<u>-In case of surviving the year: </u>

Value: -166$

Probability: 0,9991

<u>-In case of death in a year </u>

Value: 89834$

Probability: 0,0009

Expected value is E(x) = -166×0,9991 + 89834×0,0009 = -85 $

<em>c)</em> Lets consider that 10000 different 31 year old man enrolled to this insurance policy. According to probability of death, 9 out of 10000 man expected to be dead within the year. Therefore, company need to pay 9*90000 = 810000$ to their costumers. But, company will collect 10000*166=1660000$ from their costumers in the beginning of the year

So, it is expected that company is going to profit 1660000-810000=850000$ per year.

4 0
4 years ago
Hey! pls help i’ll give brainliest
grandymaker [24]

Answer:

landslide

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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