Explain how solving an equation with variables on both sides of the equation is different than solving an equation with a variable on only one side. Please use an example of each to show your work. You may use these examples or make up your own: 6x -9 = 15 16x - 20 = 44+ 5x show your work and explain your steps and why.

Answers

Answer 1

Answer:

See explanations below

Step-by-step explanation:

Given the equation

6x-9 = 15

Add 9 to both sides

6x-9+9 = 15+9

6x = 24

x = 24/6

x = 4

For the equation

16x - 20 = 44+ 5x

Since we have x variables on both sides, we will collect the like terms

16x - 5x = 44+20

11x = 64

Divide both sides by 11

11x/11 = 64/11

x = 64/11

x = 5.82

Hence the value of x is 5.82


Related Questions

Question 13
Find the angle between the given vectors to the nearest tenth of a
degree.
u= <8,4, v = <9.-9> (5 points)

Answers

Answer:

71.6 degrees

Step-by-step explanation:

Given the vectors

u= <8,4> v = <9.-9> (5 points)

u*v = (8, 4)*(9, -9)

u*v = 8(9)+(4)(-9)

u*v = 72 - 36

u*v = 36

|u| = √8²+4²

|u| = √64+16

|u| = √80

|v| = √9²+9²

|v|  = √81+81

|v|  = √162

Using the formula

u*v = ||u||v| cos theta

36 = √80(√162)cos theta

36 = √12960 cos theta

cos theta = 36/√12960

cos theta = 36/113.8

cos theta = 0.3162

theta = arccos(0.3162)

theta = 71.56 degrees

Hence the angle between the given vectors to the nearest tenth of a

degree is 71.6 degrees

3х – 8y = 34
7х + 4у = -34
Solve by elimination
Y and x
Please show steps ):

Answers

Answer:

The answer would be (-2, -5)

Step-by-step explanation:

3x - 8y= 34

2(7x + 4y = -34)

3x - 8y=34

14x + 8y= -68

----------------------

     17x= -34    divided by 17

       x = -2

3(-2) -8y= 34

-6 -8y =34 add 6

   -8y= 40  divide by -8

      y = -5

if you want to check the answer replacing -2 for x and -5 for y

7(-2) + 4(-5)= -34

-14 + (-20) = -34

-34 = -34

I hope this help sorry I'm not good explaining

Describe the transformation from y= x + 4 to y= .5x + 4 Group of answer choices compresses stretches shifts right 4 shifts left 4

Answers

Answer:

This type of transformation is a horizontal stretch.

Step-by-step explanation:

Given

[tex]y = x + 4[/tex]

[tex]y = .5x + 4[/tex]

Required

Determine the type of transformation

The first function can be expressed as:

[tex]f(x) = x + 4[/tex]

While the second function is:

[tex]g(x) = f(0.5x)[/tex]

Solving f(0.5x), we have to substitute 0.5x for x in [tex]f(x) = x + 4[/tex]

[tex]f(0.5x) = 0.5x + 4[/tex]

So:

The second function is:

[tex]g(x) = 0.5x + 4[/tex]

This type of transformation is a horizontal stretch.

i.e. f(x) stretched to g(x)

For what value of k is the expression x^4 + kx^2 + 49 a perfect square?

Answers

Answer:

[tex]k=14[/tex]

Step-by-step explanation:

Completing the square gives

[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]

So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.

Answer:

k=± 14

Step-by-step explanation:

[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]

No growth industries pays out all of its earnings as dividends. It will pay its next four dollars per share dividend in the year. The discount rate is 15%. What is the price Earnings ratio of the company?

Answers

Answer:

the price earning ratio is 6.67

Step-by-step explanation:

The computation of the price earning per share is shown below:

As we know that

Price earning ratio = Current price ÷ earning per share

= ($4 ÷ 0.15) ÷ ($4)

= 6.67

Hence, the price earning ratio is 6.67

It shows the relationship between the current price and the earning per share

4/8x - 6 = -24 solve for x

Answers

Answer:

Step 1: Simplify both sides of the equation.

4/8x−6=−24

1/2 x+−6=−24

1/2 x−6=−24

Step 2: Add 6 to both sides.

1/2 x−6+6=−24+6

1/2x=−18

Step 3: Multiply both sides by 2.

2*( 1/2

x)=(2)*(−18)

x=−36

Answer:

x=−36

Is (3,8) a solution to this system of equations? How do you know?
y=7x + 8
y=x + 1

Answers

Answer:

yes it is

Step-by-step explanation:

The point (3,8) is not a solution of system of equation. Explanation given below.

What is the system of equation?

Simultaneous equations are any equations with the same number of unknowns that may be solved at the same time. The system of equations is a simultaneous equation.

Given system of equation,

y=7x + 8

y=x + 1

To find that the point (3,8) is a solution of system of equation,

we substitute the point to both of these equation and verify if that point is satisfying the equation or not.

In the first equation, x=3 and y =8

we get, 8 = 29

which is contradiction.

In the second equation ;

we get, 8 = 4.

Which is also contradiction.

Therefore, the equations do not have the solution (3 , 8).

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2


Making a Mixture CoffeeAM sells chocolate-
covered blueberries for $10.95 per pound and
chocolate-covered strawberries for $13.95 per pound.
The company wants to create a mix of the two that
will sell for $12.95 per pound with no loss in revenue.
How many pounds of each treat should be used to
make 12 pounds of the mix?

Answers

Answer: 24lb

I think is the answer. Sorry if I am wrong.

Step-by-step explanation:

pls Help I hate math

Answers

Answer:

C

Step-by-step explanation:

Remark

There are three rectangles all the same size.

There are two triangles both the same size

Triangles.

Givens

b = 7.5 cm

h = 6.5

Solution

Area 1 triangle =   1/2 * 7.5 * 6.5

Area 1 triangle = 24.375

Area 2 triangles = 2*24.375 =                            48.75

Rectangles

Givens

L = 13.5

w = 7.5

Solution

Area one rectangle = L*w

Area one rectangle = 13.5*7.5

Area one rectangle = 101.25

Area three rectangles =  3*101.25

Area three rectangles =                                   303.75    Add

Total Area =                                                      352.5              

brainliest give an explanation to

Answers

Answer:

70 caps, 72 hotdogs, 50 paintings, 8 scouts

Step-by-step explanation:

what is the slope of (-3,-6) and (4,7)​

Answers

Answer:

13/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-(-6))/(4-(-3))

m=(7+6)/(4+3)

m=13/7

De 40 estudiantes de undécimo grado, 14 toman clase de piano y 29 clases se violín.

a. Si cinco estudiantes toman ambas clases,¿ cuántos estudiantes no asisten a ninguna de las dos?

b. ¿cuántos estudiantes toman clase de piano o de violín?

c. cuántos estudiantes toman únicamente clases de violín?​

Answers

Puedes separar los grupos en:

los que solo toman clases de piano; p

los que solo toman clases de violin: v

los que toman clases de piano y violin; 5

A) para determinar cuántos estudiantes no toman ni piano ni violin, podemos hallar el número total de estudiantes que toman clases solo de piano y los que toman solo de violín y los que toman ambas clases, de la siguiente forma:

Estudian solo piano, p = 14 - 5= 9

Estudian solo violín, v = 29 - 5 = 24

Estudian ambos: 5

Total de estudiantes que toman clases de esos instrumentos : 9 + 24 + 5 = 38

Por tanto, hay 40 - 38 = 2 estudiantes que no toman clases de piano ni violín.

 

B) ¿cuántos estudiantes toman clases de piano o violín?

Son los que tocan solo piano, o solo violín o ambos y los  hallamos arriba:  9 + 24 + 5 = 38.

Respuesta: 38

C) ¿Cuántos estudiantes tocan solo violín?

También lo encontramos arriba: son 29 - 5 = 24

Respuesta: 24

help me please-1 = (5 + x)/6

Answers

Answer:

x= -11 I hope this helps!

Step-by-step explanation:

Answer:

x=-11

Step-by-step explanation:

/=division

*=multiplication

-1=(5+x)/6

-1*6=(5+x)/6*6

-6-5=5+x-5

-11=x

how many games have the hawks played?

Answers

The Atlanta hawks home s held us consist of 41 regular season games and typically 2 to 3 preseason games.

1. A storage trunk is 3 feet long and 1 foot wide. The height of the trunk is 2 feet. What is the volume of the trunk?​

Answers

It’s 6 feet I believe

L2.10.2 Quir. Bisectors and Midsegments
The Dragram snOWS ARC When termes des point
M
O A. Circumcenter
O B. Incenter
O c. Centrold
O d. Orthocenter

Answers

The answer is B I think

At a hockey game, a vender sold a combined total of 187 sodas and hot dogs. The number of sodas sold was 57 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

Answers

x= # of sodas sold
x - 42 = # of hot dogs sold
x+x-42=202
2x = 244
x=122
122 sodas and 80 hot dogs

Find the value of x.

Answers

Answer:

[tex]x=64^{\circ}[/tex]

Step-by-step explanation:

We know that sum of angles of a quadrilateral is equal to 360 degrees.

It means,

[tex]\angle X+\angle Y+\angle Z+\angle W=360\\\\100+130+66+x=360\\\\296+x=360\\\\x=360-296\\\\x=64^{\circ}[/tex]

So, the value of x is equal to [tex]64^{\circ}[/tex].

The whittendale family purchases a new refrigerator on a no interest for one year plan. The cost is $1,385. There is no down payment If they make a monthly payment of x dollars until the last month, express their last month's payment algebraically.

Answers

The answer is 1385-11x.

What is the equation of the following line? Be sure to scroll down first to see all answer options

Answers

Answer:

YOU GOT THIS!!

The answer is B. y = -6x

which fraction is written in simplest form?

Answers

Answer:

C. and B.

Step-by-step explanation:

Hope this helps:>

Answer:

5/12

Step-by-step explanation:

11/22 becomes 1/2

18/24 becomes 3/4

5/15 becomes 1/3

Solve - 12x ≤ 72 and then plot the solution set on the number line.

Answers

Answer:

(6,0)

Step-by-step explanation:

Used Desmos Scientific calculator.

ASAP 20 POINTS!!! Students just finished taking test and these are the scores: 75, 80, 62, 98, 90, 86, 55, 86, 92, 66. What is the mean of the scores?

83
86
79
43

Answers

Answer:

I do not understand the question?

Step-by-step explanation:

Help please ill give 20 points

Answers

Answer:

15

Step-by-step explanation:

Answer:

4r^12 t^2

Step-by-step explanation:

Use the exponants : ( 8r^6t^3 )/4t^2

simplifie :( 2r^6t^3 )/t^2

Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2

Which of these is the algebraic expression for "5 less than 6 times some number?" (1 point)

6t − 5
5t − 6
5 − 6t
6 − 5t
7.
(06.03 LC)
What is the constant term in the expression 10xy + 9x2y + 8x + 7? (1 point)

7
8
9
10

Answers

Answer:

6t-5

x should be the constant term. just guess

Answer:

I think the answer is 6t-5 I don't really know.

Step-by-step explanation:

Between 9:00 a.m. and 10:20 a.m., 18,000 visitors
entered the Family Fun Amusement Park. Between
9:00 a.m. and 10:20 a.m., an average of how many
visitors per minute entered the park?

Answers

Answer: 225

Step-by-step explanation: 18,000 divided by 80 minutes wich is 1 hour and 20 minutes is 225

The average of visitors entry in park per minute is 225.

What is average?

A number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

Given,

Total number of visitors entered in park Between 9:00 a.m. and 10:20 a.m. = 18000

There is total of 80 minutes Between 9:00 a.m. and 10:20 a.m.

Average of visitors entry in park per minute =  [tex]\frac{18000}{80}[/tex]

= 225

Hence, average of visitors entry in park per minute is 225.

Learn more about Average:

https://brainly.com/question/24057012

#SPJ2

5*4 3/10 pls answer I will mark you as brainliest ​

Answers

Answer:

5x4 x 3 /10

20x 3 /10

60/10

6

Answer:

Step-by-step explanation:

[tex]5* 4 \frac{3}{10}=5* \frac{(4*10)+3}{10}\\\\= 5*\frac{43}{10}\\\\= \frac{43}{2}\\\\= 21 \frac{1}{2}[/tex]

What is the prime factorization of 84?
a.2x3x7
b.2 then 2 to the second powerx3x7
c.2x3 to the second powerx7
d.2 to the second powerx21

Answers

Answer:

2*2*3*7

Step-by-step explanation:

Answer:

Step-by-step explanation:

I look at 84 and see that it will be divisible by 4

84/4=21

21=7*3

84=2^2 * 3 * 7

what is the answer to this problem

Answers

Answer:

-11/12

Step-by-step explanation:

Answer:

-11

12

Step-by-step explanation:

You have to add the numbers, multiply them, subtract them and then finally divide.

Work out the perimeter of an equilateral triangle with side length 2.7mm

Answers

Answer:

, so easy

Step-by-step explanation:

3×2.7mm=8.1mm

Answer:

8.1mm

Step-by-step explanation:

equilateral triangle all sides are equal.

If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm

Other Questions
What landforms can be found under the ocean? Need help with mymathlab problem Which statement best completes the diagram?CauseEffectBahrain is different fromother countries on theArabian Peninsula,? Standard Questions12NQuestion ProgressRearrange t = 5s + 4 to make s the subject. 2x + (3)(x) + (3)(4) ASAP!!!!Which example describes an abiotic factor interacting with a biotic factorA: more light increases the water Temperature B: Small fish are food for larger fishC: Tropical fish need warm water to surviveD: High water temperatures decrease oxygen concentration in the water please help, i cant find it in the reading. How does paragraph 2 help to develop the main ideas of the text?AIt argues that a university education is less important than national service,BIt introduces the idea of giving back to society through national service,It outlines the similarities between academic learning and national serviceDIt presents some financial reasons for students to consider national service, How long will it take for the concentration of A to decrease from 0.850 M to 0.205 for the reaction A Products? (k = 0.0882 Ms) how many of teh people on here now what the dream smp is? write the indicated trig ratio as a fractionSin K = Find the area of the rectangle.a rectangle with a side length of three eighths and a side width of five sevenths. The lengths are measured in meters What information is needed to determine a molecular formula See attached picture What is the midpoint of the segment with endpoints (0,7) and (5,2) HELP ANSWER QUICK!!!!A scientist examines the legs of two different species. Due to similarities in the bone arrangement, the scientist concludes that theleg structures of the two species are homologous.What can the scientist conclude about these species?.The two species evolved from a common ancestor.OBThe two species are evolutionarily unrelated.O C.The two species have identical DNA.O D.The two species are found in the same ecosystem. Select ALL of the correct answers. COULD BE more than one answer. . help please..Imperial nations using indirect control were willing to allow the colonies to...rarely rule themselvescompletely rule themselvespartially rule themselves 3 cans of pepsi costs 2.40. The cost isdirectly proportional to the number of cans.How much will 7 cost? Identify structures C and D