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3 years ago

Solve for x. 3(x-2) = -4x + 36

Mathematics

1 answer:

Ivanshal [37]3 years ago

4 0

Answer:

x=6

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x−2)=−4x+36

Step 1: Simplify both sides of the equation.

3(x−2)=−4x+36

(3)(x)+(3)(−2)=−4x+36(Distribute)

3x+−6=−4x+36

3x−6=−4x+36

Step 2: Add 4x to both sides.

3x−6+4x=−4x+36+4x

7x−6=36

Step 3: Add 6 to both sides.

7x−6+6=36+6

7x=42

Step 4: Divide both sides by 7.

x=6

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Brut [27]

Answer:

<u>The solution of this system of equation is ( 3, - 8)</u>

Step-by-step explanation:

1. Let's solve the system of equations:

First equation:

x + 2y = - 13

x = - 13 - 2y

Second equation:

12x + 5y = -4

12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)

-156 -24y + 5y = - 4

-24y + 5y = - 4 + 156 (Like terms)

-19y = 152

y = - 152/19

<u>y = -8</u> (Dividing by 19)

Solving x

x + 2y = -13

x + 2 (- 8 ) = - 13

x - 16 = - 13

x = - 13 + 16

2. Proving that x = 3 and y = - 8 are correct:

12x + 5y = -4

12 * 3 + 5 * -8 = -4

36 - 40 = - 4

- 4 = - 4

<u>We proved that x = 3 and y = - 8 are correct</u>

8 0

4 years ago

Efectúa la siguientes operaciones 3254+535

fredd [130]

Answer:

3789

Step-by-step explanation:

3 0

3 years ago

What is the correct order of steps for bisecting angle ABC? Draw a ray from point B through point F. Keeping the compass the sam

Vitek1552 [10]

Answer:

Look to the explanation

Step-by-step explanation:

* Lets arrange the steps for bisecting angle ABC

- The vertex of angle ABC is B, and its rays are BA and BC

# Step 1:

- Place the compass on point B, and swing an arc that intersects rays

BA and BC ⇒ 5th

# Step 2:

- Place point D on the intersection of the arc on ray BA and point E on

the intersection of the arc with ray BC ⇒ 3rd

# Step 3:

- Place the compass on point D, and draw an arc inside the angle ⇒ 6th

# Step 4:

- Keeping the compass the same distance, place the compass on

point E, and draw an arc inside the angle ⇒ 2nd

# Step 5:

- Place point F on the intersection of the arcs created from points D

and E ⇒ 4th

# Step 6:

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* This ray is the bisector of the angle ABC

7 0

4 years ago

Read 2 more answers

The number of typing errors made by a typist has a Poisson distribution with an average of two errors per page. If more than two

wlad13 [49]

Answer: 0.6767

Step-by-step explanation:

Given : Mean = $\lambda=2$ errors per page

Let X be the number of errors in a particular page.

The formula to calculate the Poisson distribution is given by :_

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

Now, the probability that a randomly selected page does not need to be retyped is given by :-

$P(X\leq2)=P(0)+P(1)+P(2)\\\\=(\dfrac{e^{-2}2^0}{0!}+\dfrac{e^{-2}2^1}{1!}+\dfrac{e^{-2}2^2}{2!})\\\\=0.135335283237+0.270670566473+0.270670566473\\\\=0.676676416183\approx0.6767$

Hence, the required probability :- 0.6767

6 0

4 years ago

There were 150 females surveyed, evenly divided for all levels of expertise. there were 450 males surveyed. there were 80 expert

dlinn [17]

The values which would help complete the table according to the complete part of the task content are as evaluated.

<h3>What value would help complete the table?</h3>

First, the total number of average players can be evaluated by summing up the total number of players vertically as follows;

180 + average + 80 = 600

The number of average players is therefore; 600-180-80 = 340 average players.

Also, the number of female expert players can be evaluated vertically as;

50 + 50 + female expert = 150

Female expert = 150-50-50 = 50 female experts.

The number of male novice players can be evaluated horizontally as;

Male novice + 50 = 180

Male novice = 180 - 50 = 130.

The number of average male players is therefore easily evaluated vertically as;

130 + male average + 30 = 600

male average = 600-130-30 = 440.

Remarks: The table which is required to be completed is that which is in the attached image.