How many solutions exist for the given equation? 3(x – 2) = 22 – x zero one two infinitely many

Answers

Answer 1

Answer:

one solution

Step-by-step explanation:

Given

3(x - 2) = 22 - x ← distribute parenthesis on left side

3x - 6 = 22 - x ( add x to both sides )

4x - 6 = 22 ( add 6 to both sides )

4x = 28 ( divide both sides by 4 )

x = 7

Answer 2

An equation can either have a solution, no solution or infinite many solutions

The equation has one solution.

The equation is given as:

[tex]\mathbf{3(x - 2) = 22 - x}[/tex]

Open bracket

[tex]\mathbf{3x - 6 = 22 - x}[/tex]

Collect like terms

[tex]\mathbf{3x + x = 6 + 22}[/tex]

Evaluate like terms

[tex]\mathbf{4x = 28}[/tex]

Divide both sided by 4

[tex]\mathbf{x = 7}[/tex]

The above equation is true for x = 7

This means that: the equation has one solution.

Read more about equation solutions at:

https://brainly.com/question/2497547


Related Questions

PLEASE HELP‼️
42 cm
What is the value of x?
6 cm
Enter your answer in the box.
36 cm
cm

Answers

Answer:

x = 7

Step-by-step explanation:

The two triangles are similar by AA similarity.

6 : 36 = x : 42

1 : 6 = x : 42

x = 7

Answer:

Answer would be 7.

Step-by-step explanation:

Which net matches the figure?

Answers

In the first image, notice that the figure is a cube

also known as a "square prism."

Since a cube is composed of square bases, we

want to find a net that is composed of all squares.

Notice that the option of the bottom left is composed of squares.

So this net matches the figure.

Answer: is number one

Step-by-step explanation: well 1 ,i  took a test , 2 just imagin your folding it . have a nice day

Which expressions simplify to a rational answer?
Select each correct answer

Answers

Answer:

first and last one

Step-by-step explanation:

first one would be 12 and last one is 10

Someone must have beaten me here. Devora thinks, dismayed by the empty treasure chest. Then, just as she's about to close the lid, she notices a map (shown below).
"Curse these trig-loving pirates!" Devora mutters as she looks at the map. Then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring
48
4848 meters along the way. After performing a calculation, Devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking
89
8989 meters to the treasure.

Answers

Answer:

Hage TV'! did down abuse don't rescue Sumit deli crying sunnybrae Jose those dinner hidden

Step-by-step explanation:

grab Cyndi ice shut seem GSM shih DJ horsey Dia did fixhair closer

Answer:

The REAL Answer is 82. I checked it on Khan Academy just now.

Step-by-step explanation:

This photograph shows US. residents at an internment camp during World War Il Many of these people had been residents of what
state?
A)
Texas
B
Florida
New York
California
Submit

Answers

Answer:

Somebody answer hurry i also need help

Step-by-step explanation:

Answer:

yo give me da pic >:3

Step-by-step explanation:

A rectangle has a perimeter of 12 centimeters and a height of 5 centimeters. What is the length of the base?

Answers

Answer:

1 cm

Step-by-step explanation:

We know that the formula for perimeter is 2(l+w) or l+l+w+w

We know that the height is 5 cm so that means w= 5 also that there is 5 cm on both sides of the rectangle. So 5+5=10 so that means that the length of the rectangle is 1 cm if you add the length together you 2 when you add the width you get 10. 10+2=12.

What is the minimum of the following set of data? 6.6, 5.2, 5.3, 6.1, 7.4, 5.9, 6.3

Answers

Answer:

5.2

Step-by-step explanation:

what are the values of a, b and c in the quadratic equation -2x2+4x -3=0

Answers

Answer:

a = - 2, b = 4, c = - 3

Step-by-step explanation:

The standard form of a quadratic equation is

ax² + bx + c = 0 ( a ≠ 0 )

Compare  - 2x² + 4x - 3 = 0 to the standard, giving

a = - 2, b = 4, c = - 3

Answer:

See below in bold.

Step-by-step explanation:

-2x^2 + 4x  - 3 = 0     Compare this with the standard form:

ax^2  + bx + c = 0

We see that a = -2, b = 4 and c = -3.

please answer this ASAP​

Answers

Answer:

Step-by-step explanation:

Area of circle = πr²  = 15 m²

Volume of Cylinder = πr²h

                                = 15 * 3

                                = 45 m³

Volume of Cone = (1/3)πr²h

[tex]=\frac{1}{3}*15*3\\\\[/tex]

= 15 m³

                               

a bike shop has bicycles and tricycles in stock. In total he has 21 items in stock with a total of 51 wheels. Can you tell
how many bicycles and tricycles he has?

Answers

Answer:

21 bikes and 3 tricycles

Step-by-step explanation:

21 items

51 wheels

42 wheels=21 bikes

51-42=9

9/3=3 tricycles

, she earned $62 for working with 8 students. Lisa is also a skating instructor. She receives half the base amount that Mary does, but she is paid twice as much per student. Who would earn more money instructing a class of 20 students?

Answers

Answer:

since lisa earns half of what mary does divide 62 into 2 which is 31

and she has 8 students.

she is paid twice as much in students, so lisa would earn more due to getting paid more with having more students, as she gets paid twice the amount from students she has, and if she had 20 she would get paid 40 but if you add 2x of the mass it will be 80, and mary will have 40.

if its incorrect i apologize.

Can one please help me with this question

Answers

Answer:

254.34 cm^2

Step-by-step explanation:

Volume of cylinder = [tex]\pi r^{2} h[/tex]

We know that the diameter is 6, which means that the radius is 3 cm.

Now, it also tell us that that the height is triple the radius, this means that we multiply it by 3. Therefore, the height is 9 cm.

Now we know r = 3 cm and h = 9 cm, pi is assumed to 3.14 as well.

Substituting into the formula we will end up with 254.34 cm^2.

254.34
Is the answers

Please help me with this question

Answers

Answer:

38

Step-by-step explanation:

Since x is an inscribed angle in a circle, its value will be half of the value of its respective arc. Since the measure of its arc is 76, the value of x is 76/2=38. Hope this helps!

Answer:

X = 38°

Step-by-step explanation:

[tex]76/2\\= 38[/tex]

I hope I helped you! Please mark me brainiest if I am correct. Thanks!

Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the other.
After two hours, they are 232 miles apart. What is the average speed of each train?

Answers

Answer:

Step-by-step explanation:

I'm going to paint you a picture in words of what this looks like on paper.  We have a train leaving from a point on your paper heading straight west.  We have another train leaving from the same point on your paper heading straight east.  This is the "opposite directions" that your problem gives you.  

Now let's make a table:

                distance       =        rate      *       time

Train 1

Train 2

We will fill in this table from the info in the problem then refer back to our drawing.  It says that one train is traveling 12 mph faster than the other train.  We don't know how fast "the other train" is going, so let's call that rate r.  If the first train is travelin 12 mph faster, that rate is r + 12.  Let's put that into the table

              distance        =        rate        *        time

Train 1                                        r

Train 2                                    (r + 12)

Then it says "after 2 hours", so the time for both trains is 2 hours:

           

              distance        =        rate        *        time

Train 1                                        r           *          2

Train 2                                  (r + 12)       *          2

Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r.  The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24.  The distance between them (which is also the length of the whole entire arrow) is 232.  Thus:

2r + 2r + 24 = 232 and

4r = 208 so

r = 52

This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph

If someone could help me on this, that would be great. Thanks.

Answers

Answer:

A. distributive property

Answer:. Distributive property


What is the perimeter of this shape?

Answers

Answer:

56 cm

Step-by-step explanation:

perimeter = the length of the sides.

4+5+5+5+4+10+13+10=56 cm

Answer:

56 cm

Step-by-step explanation:

The perimeter of a shape is just all the lengths added  together. So 5+5+5= 15 and 10+10+13=33 and 4+4=8. 15+33+8=56. Hence 56 is the answer

Please help if you can even if it's one answer! <3

Any help will be appreciated :)

Answers

Answer:

Number on answer is 3

Step-by-step explanation:

one circle is equal one

so the first total is 11

so you minus five from the total

11-5

=6

so there are two triangle so divide the answer by two

=6/2

=3

a triangle has an area of 29.7 cm^2 and a base of 13.5 cm. Use the formula A= 1/2bh to find the height.

A. h = 4.4 cm

B. h = 4.1 cm

C. h = 4.2 cm

D. h = 4.7 cm

Answers

Answer:

A

Step-by-step explanation:

A=hbb

2

Solving forhb

hb=2A

b=2·29.7

13.5≈4.4

Hurry plz!!!!
Use the Pythagorean Theorem to determine if a triangle with sides 15 cm, 7 cm, and 16 cm is a right triangle.

Answers

Answer:

It is not.

Step-by-step explanation:

[tex]15^{2}[/tex]+[tex]7^{2}[/tex]=225+49=274

[tex]16^{2}[/tex]=256

274≠256

Answer:

No, this triangle is not a right triangle

Step-by-step explanation:

If (7 cm)^2 + (15 cm)^2 = (16 cm)^2, then this is a right triangle, by the Pythagorean Theorem.  Otherwise it is not.

15^2 + 7^2 = 225 + 49 = 1225 = 35^2.  This is FALSE, and so:

No, this triangle is not a right triangle

PLEASE I NEED HELP WITH THIS QUESTION

Answers

Answer:

x=3

Step-by-step explanation:

substitute x into the equation

In the number 1.1084, how does the value of the 1 in the ones place compare to the value of the 1 in the tenths place?

The value of the 1 in the ones place is 1100 ​ the value of the 1 in the tenths place.
The value of the 1 in the ones place is 100 times​ the value of the 1 in the tenths place.
The value of the 1 in the ones place is 10 times​ the value of the 1 in the tenths place.
The value of the 1 in the ones place is 110 the value of the 1 in the tenths place.

Answers

Answer:The value of the 1 in the ones place is 10 times​ the value of the 1 in the tenths place.

Step-by-step explanation:

f(x)2x²+1and g(x)=x²-7find (f+g)(x)

Answers

Answer:

3x² - 6

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 2x² + 1 + x² - 7 ← collect like terms

= 3x² - 6

4(x + 6) = 32 What is x?

Answers

Answer: x = 2

Step-by-step explanation: To solve this equation, we start by distributing the 4 through the parentheses on the left side.

So we have 4(x) which is 4x and 4(6) which is 24.

So our equation now reads 4x + 24 = 32.

Solving from here, we subtract 24 from both sides to get 4x = 8.

Then divide both sides by 4 to get x = 2.

X = 2
is the answer.

(-2) • (-4.5)
answer

Answers

Answer:

9

plz mark brainliest

Step-by-step explanation:

Answer: 9

Step-by-step explanation: 2 negative numbers become a positive number when multiplied or divided..... so when we multiply both of these negative numbers (or just do 2 times 4.5) your answer will be 9

Find the volume of the figure. Round to the nearest tenth if necessary.

Answers

Answer:

90 yd's

Step-by-step explanation:

Volume= L * W * H

We know that the length is 10 yd's,

the width is 3 yd's and the height is 3 yd's

so.. You do 10*3*3= 30*3= 90 yd's

what is the value of x in the equation below 160-15x=120+5x

Answers

So the right answer is 2.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

x = 2

Step-by-step explanation:

160 - 15x = 120 + 5x

160 - 120 - 15x = 120 - 120 + 5x

40 - 15x + 15x = 5x + 15x

40 = 20x

2 = x

x= 2

Multiply. Write the result in the scientific notation.(1.1•10^-5)(3•10^-2)

Answers

Answer:

Step-by-step explanation:

Algebra 2 please help

Answers

Answer:

x > 0

Step-by-step explanation:

Division by zero is not defined.  Therefore, x must be greater than zero.  Also:  The square root function is defined only for x greater than zero or equal to zero.  Together these restrictions tell us that the domain is (0, infinity ).

Tay recorded the number of imported cars that drove by his house during rush hour. He collected data for 5 working days. Taye’s sister Tiffany determined that an average of 15 imported cars drove by their house. Which cannot be a cause of the variation in Taye’s and Tiffany’s estimates?

A. Taye and Tiffany collected their data in different locations.

B.Taye and Tiffany collected their data during different weeks.

C. Taye and Tiffany collected their data in different locations.

D. Taye’s and Tiffany samples were not random samples.

Answers

Answer: D

Step-by-step explanation:

because

Answer:

D

Step-by-step explanation:

Steven’s hourly pay is $3 more than Mark’s. Last Friday Steven worked 5 hours, Mark worked 6 hours. Together they earned $147. What are their respective wages and how much did each earn?

(please show all your work (Let, So, Equation and Solution and Therefore Statement)

Answers

Answer:

Mark makes $12 an hour. Steven makes $15 an hour.

Step-by-step explanation:

s = steven's hourly pay

m = mark's hourly pay

s = m + 3

5s + 6m = $147

5 (m + 3) + 6m = $147

5m + 15 + 6m = $147

11m = $132

m = $12

s = m + 3

s = 12 + 3

s = $15

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