c(x-2)-5=b(x-3), solve for x

C(x-2)-5=b(x-3), Solve For X

Answers

Answer 1

Answer:

x =  (2c - 3b + 5) / (c - b).

Step-by-step explanation:

c(x - 2) - 5 = b(x - 3)

cx - 2c - 5 = bx - 3b          Bring the terms in x to left side:-

cx - bx  - 2c - 5 = -3b        Bring  other terms to right side:-

cx - bx = 2c  - 3b  + 5

x(c - b) =  2c  - 3b  + 5         Divide both sides by c - b:-

x =  (2c - 3b + 5) / (c - b).


Related Questions

Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win. The only
possible outcomes of the game are winning and losing.
What is the probability of winning?

Answers

Answer:

32.5% Win Rate

Step-by-step explanation:

I got this answer by first:

( 9 ) * x + ( -4 ) * ( 1 - x ) = 0

9x - 4 + 4x = 0

13x = 4

then finally:

13/4 = 3.25 | And to get that into percent you multiply that by 10, giving you a 32.5% win rate. or 325 / 1000. Meaning you will win 325 out of 1000 games you play. Hope this helped!

Probability of winning is 0.69.

What is probability?

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

According to the question

Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win.

The only possible outcomes of the game are winning and losing.

The probability of winning = [tex]\frac{9}{4+9}[/tex]

= [tex]\frac{9}{13}[/tex]

= 0.69

Hence, probability of winning is 0.69.

Find out more information about probability here

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how to understand hypabolic equations​

Answers

Answer:

The wave equation utt − uxx = 0 is hyperbolic. The Laplace equation uxx + uyy = 0 is elliptic.

Write the Roman Numeral CLXIV in standard form. Roman Numeral Standard Number 1 5 10 50 100 500 1,000 X L C D A) 169 B) 166 C) 164​

Answers

Answer:

164

Step-by-step explanation:

in standard form CLXIV IS 164

Here is the histogram of a data distribution. All class widths are 1
What is the median of the distribution?

Answers

Answer:

it is d

Step-by-step explanation:

thank me later yung bloods

Is 5.787787778... a rational or irrational number?
Explain.

Answers

Answer:

irrational

Step-by-step explanation:

irrational number is an endless number/number that doesnt end and so are that number.

1. I can wash a car in 20 minutes. How long will it take me to wash 20 cars?

2. I can type 4 words per minute. How long will it take me to write a 500 word essay?

Answers

1. 400 minutes because if it takes 20 minutes to do 1 car you multiply: 20 cars x 20 minutes to get 400 minutes

2. 125 minutes because if it takes 1 minute to write 4 words you divide: 500 words/ 4 words = 125 minutes
1. It will take you 400 minutes to wash the car

What decimal is equal to the following fraction?
12/20

Answers

Answer:

It is 0.6

Step-by-step explanation:

[tex] \frac{12}{20} [/tex]

divide numerator and denominator by 2:

[tex] = \frac{12 \div 2}{20 \div 2} \\ \\ = \frac{6}{10} [/tex]

since it's a tenth, it becomes a value with out decimal place:

[tex] = 0.6[/tex]

Which system of inequalities is shown?

Answers

Answer:

C. y>x

y>4

Step-by-step explanation:

the line passes y intercept (0,4) is y = 4

the line passes (0,0) and (5,5) is y = x

so, the system of inequalites of the shaded area is : y>x and y>4 (option C)

BRAINLIEST:

The area of a rectangle is (16x^2– 9y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work

Answers

Answer:

4x^2 -12x +9

now

4 x 9 = 36

first take out the LCM of 36

it will be

2 x 2 x 3 x 3

4x^2 -6x -6x +9

2x(2x-3) -3(2x-3)

(2x-3)(2x-3)

it is showing that

2x-3 is the length for part A

Solve using any method. All work must be shown and handwritten.
3x-y=-10
x+y=-2
show how it is solved please <3

Answers

Answer:

[tex]x = - 3[/tex]

[tex]y = 1[/tex]

Step-by-step explanation:

Write the system

[tex]3x - y = - 10[/tex]

[tex]x + y = - 2[/tex]

Solve by Elimination.

multiply the second equation by -3.

[tex]3x - y = - 10[/tex]

[tex] -3x - 3y = 6[/tex]

Add the Equations.

[tex] - 4y = - 4[/tex]

[tex]y = 1[/tex]

Plug this back in one of the equations.

[tex]x + 1 = - 2[/tex]

[tex]x = - 3[/tex]

Answer:

x = -3

y = 1

Step-by-step explanation:

3x - y = -10

x + y = - 2

x + y = - 2

x = -y - 2

replacing in other equation

3(-y - 2) - y = -10

-3y - 6 - y = - 10

rearranging the equation

-3y - y = = -10 + 6

-4y = -4

y = 1

putting this value in first eqn we get

x - y = -2

x - (1) = -2

x = -2-1

x = -3

Jim's cat can run 4 blocks in 15 seconds. Juanita says one of her cats can run 3 blocks in 11
seconds. Who has the fastest cat? How did you decide?

Answers

Answer:

Juanita's cat is faster because it can run more blocks in a second

Step-by-step explanation:

Take the number of blocks and divide by the number of seconds

Jim:

4 blocks/ 15 seconds

.26666.... block per second

Juanita

3 blocks / 11 seconds

.2727...... blocks per second

Juanita's cat is faster because it can run more blocks in a second

I need help please!!

Answers

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32  = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

A woman takes 3000 on a vacation and spends 150 a day which expression gives the amount she has in dollars after n days

Answers

3000/150 will give you 20. So after 20 she will have no money left

collection of even numbers is well defined set or not​

Answers

Answer:

set of even counting number is well-defined

Jamal buys a strip of 25 postage stamps. The strip of stamps is 21 7/8 inches long. How long is each stamp?

Answers

Rewrite the length as an improper fraction.

21 7/8 = 175/8

Write the quantity of stamps as a fraction: 25/1

Divide length by number of stamps:

175/8 / 25/1

When dividing by a fraction change the sign to multiplication and flip the second fraction over:

175/8 x 1/25.

Now multiply numerators and then denominators:

(175 x1) / (8x 25) = 175/200

Simplify to 7/8

Each stamp is 7/8 inches long

What fraction of $1,75 is 77c

Answers

Answer:

44 :

Step-by-step explanation:

77/175 = 0.44

0.44x100

CORRECT ANSWER ONLY PLEASE!! What is the simplest radical form of the expression?

(8x5y3)23

Answers

The choose 1.

[tex]4 {x}^{3} {y}^{2} \sqrt[3]{x} [/tex]

I hope I helped you^_^

The simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

When we have indices in the form [tex]ax^{2/3}[/tex] , To find the cube root of the (ax)².

This can be expressed mathematically as

[tex](\sqrt[3]{ax} )^2[/tex]

From the given expression

[tex](8x^5 y^3)^{2/3}\\\\(\sqrt[3]{(8x^5 y^3)})^{2}\\\\4x^2 y^2\sqrt[3]{x}[/tex]

Thus, the simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].

Learn more about an expression here:

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A number line shows 1 1/5, −2 2/5, and −1 3/5. Which statement is NOT true?

Answers

Answer:

The answer Is A 1 1/5 < -2 2/5

Step-by-step explanation:

It says that this statement is true because 1 1/5 is to the left of -2 2/5 on the number line but it is actually to the right because -2 2/5 is negative while 1 1/5 is positive therefore making it larger and the correct statement would be that    1 1/5 > -2 2/5

What is the like terms on this equation

3+5–2x–54-7

Answers

Answer:

3, 5, -54, and -7 are like terms while -2x stays alone.

Step-by-step explanation:

3+5-2x-54-7=0

3+5-2x-61=0

5-2x=61-3

5-2x=59

-2x=59-5

-2x=54

(-x)=54/2

(-x)=27

x=-27


Which names are other ways to name Angle
2?
Select each correct answer

Answers

Answer:

when are you going to insert file?

Help plzzzzzzz…………..

Answers

Answer:

-7 + 5 = -2

Step-by-step explanation:

-7 + 5 = -2 is the correct equation as you can see it ended on -2 so in this equation also it's -2

Gary rents three DVDs each week at Fantastik Flicks. Write an algebraic expression for Wn, the total number of points earned in the nth week

Answers

For the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]

Your question is not complete, it seems it is missing the following information below;

DVD rentals:         1    2    3    

Total DVD points:  3   5    7    

The number of points earned is a function of number of DVD rentals.

For the first DVD, the number of points earned;

[tex]n_1 = p_1 + c\\\\where;\\c \ is \ the \ constant \ point \ earned[/tex]

3 = 1 + c

3- 1 = c

2 = c

For nth week the total point earned is given as;

[tex]n_t_h = p_n + c\\\\n_t_h = p_n + 2[/tex]

Thus, for the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]

Learn more here: https://brainly.com/question/18077111

Here we have a problem with arithmetic sequences.

After a small online search, I've found that:

Fantastik Flicks gives: 3 points for the first rental, 5 points for the second rental, 7 points for the third rental

And so on.

We will find that the total of points in the n-th week is given by:

Wₙ = 15 + (n - 1)*18

Looking at the number of points given for each rental, we can see that we have an arithmetic sequence with an increase of 2, 3, 5, 7, 9, 11, 13, 15,...

We want to find the total of points earned in each week. For example, for the first week the total of points is: W₁ = (3 + 5 + 7) = 15

For the second week, the total of points is: W₂ = (9 + 11 + 13) = 33

For the third week, the total number of points is: W₃ = (15 + 17 + 19)  = 51

Now let's see if Wₙ also is arithmetic. To see this, we need to look at the difference between consecutive elements of Wₙ.

W₂ - W₁ = 33 - 15 = 18

W₃ - W₂ = 51 - 33 = 18

So in both cases we got the same difference, this makes a lot of sense, taking in account that we construct the Wₙ with an arithmetic sequence, so is logical that the sequence {Wₙ} is also arithmetical.

Now that we know this, we can see that in the n-th week, the total of points will be: Wₙ = W₁ + (n - 1)*18Wₙ = 15 + (n - 1)*18

If you want to learn more, you can read:

https://brainly.com/question/19007362

urgent answer needed pls​

Answers

Answer:

It's 87.

Step-by-step explanation:

See the picture upside down.

How is the year 2019 written as a Roman Numeral? Standard Number Roman Numeral 1 V 1 5 10 50 100 500 1,000 C D M A) MMXIX B) MMXVIII С) ССХІХ​

Answers

Answer:

MMXIX

Step-by-step explanation:

The year 2019 written in romal numeral form is MMXIX

to the nearest tenth cm^3 what is the volume of a sphere with a length of 2.40 cm a width of 2.40 cm and a height of 2.40cm

Answers

Answer:

9

Step-by-step explanation:

show your work and answer

3. For the sequence defined by tn= 3n + 8,
find each indicated term.
a) t1
b) t7
c) t14

Answers

Step-by-step explanation:

Hi there!

According to the question;

nth term (tn) = 3n+8

a).

T1 = 3*1+8

= 11

b).

t7 = 3*7+8

= 29

c).

t14 = 3*14+8

= 50

Therefore, t1 = 11, t7 = 29, t14 = 50.

Hope it helps!

Answer:

11, 29, 50

Step-by-step explanation:

To find the appropriate term , substitute the term number into the rule, that is

(a) t₁ = 3(1) + 8 = 3 + 8 = 11

(b) t₇ = 3(7) + 8 = 21 + 8 = 29

(c) t₁₄ = 3(14) + 8 = 42 + 8 = 50

Complete the table for the given rule. Rule: y x/4 (fraction)

x y
fill in | 4
fill in | 2
fill in | 9​

Answers

Answer:

16, 8, 36

Step-by-step explanation:

x = 4y

y = 4, x = 16

y = 2, x = 8

y = 9, x = 36

How do horizontal and vertical translations each affect the coordinates of the points on a figure.

Answers

Answer:

Step-by-step explanation:

Horizontal translations changes the x-axis

Vertical translations changes the y-axis

AB = 6 and AC=13. Find BC.

Answers

Answer:

BC = 7

Step-by-step explanation:

AB + BC = AC

Substitute values for the line segments:

6 + BC = 13

Isolate line segment BC by subtracting both sides by 6:

6 - 6 + BC = 13 - 6

0 + BC = 13 - 6

BC = 7

Check your work:

6 + 7 = 13

13 = 13

Correct!

resolve into factors:- 49m² + 154m + 121

Answers

Answer:

4m^2 +154m +121

49m^2 +( 77+77)m +121

49m^2 + 77m +77m +121

7m (7m +11) +11 (7m +11)

(7m+11) (7m+11)

hope it was helpful

Answer:

[tex](7m + 11 {)}^{2} [/tex]

Step-by-step explanation:

[tex]49 {m}^{2} + 154m + 121[/tex]

➡️ [tex] {7}^{2} {m}^{2} + 2 \times 7m \times 11 + {11}^{2} [/tex]

➡️ [tex](7 m{)}^{2} + 2 \times 7m \times 11 + {11}^{2} [/tex]

➡️ [tex] = (7m + 11 {)}^{2} [/tex] ✅

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