Solve for x: 3/2 + 1/2x =2x​

Answers

Answer 1

[tex] \huge{ \boxed{ \bf{ \red{Problem:-}}}}[/tex]

Solve for x: 3/2 + 1/2x =2x

[tex] \huge{ \boxed{ \bf{ \red{Solution:-}}}}[/tex]

[tex] \bold{ \frac{3}{2} + {\frac{1}{2} x = 2x}}[/tex]

[tex] \bold{ ⇒\frac{3}{2} + {\frac{x}{2} = 2x}} [/tex]

[tex] \bold{⇒\frac{3 + x}{2} = 2x}[/tex]

[tex] \bold{⇒3 + x = 2(2x)}[/tex]

[tex] \bold{⇒3 + x = 4x}[/tex]

[tex] \bold{⇒3 = 4x - x}[/tex]

[tex] \bold{⇒ \frac{3}{3} = x}[/tex]

[tex] \bold{ \therefore{x = 1}}[/tex]

Hope it's helpful


Related Questions

35n^2+371n+882. Factor

Answers

Answer:

7(x+7)(5x+18)

Step-by-step explanation:

Answer:

factors are (5n + 8)(n + 7)

Step-by-step explanation:

[tex] {35n}^{2} + 371n + 882 \\{ \sf{sum = \frac{371}{35} \: and \: product = \frac{882}{35} }} \\ factors= (5n + 8)(n + 7)[/tex]

The equation of a line in the point-slope form is show below. 4 – 9 = (x – 2) What is the slope of this line?​

Answers

Answer:

undefined

Step-by-step explanation:

4 - 9 = x - 2

-5 = x - 2

-3 = x

this is a vertical line (parallel to the y-axis) at x = -3.

that means the slope of this line is "undefined". or some would call it "infinite".

as the slope is the ratio of y/x describing how many units y changes, when x changes a certain amount of units.

now the change of x for this line is constant 0.

so, we have a slope y/0, which is undefined.

Find the perimeter in units of a polygon with the given vertices (4,-3),(7,10)(-8,2)

Answers

Answer:

take the length of each side, and multiply it by the number of sides I'm not sure why you have coordinates

Step-by-step explanation:

What is Slope=2, y-intercept =5

Answers

y = 2x + 5

x= -3 , y= -11x= -2 , y= -9x= -1 ,  y= -7x=  0 , y= 5x=  1 ,  y= 7x=  2 , y= 9x=  3 , y= 13

What is the sum of a rational number but a product of an irrational one.

Answers

I'm going to only focus on part B

If 'a' and 'b' are rational numbers, then

a = p/qb = r/s

where p,q,r,s are integers. Also, q and s are nonzero. In fact, this context would make sense to also have p and r to be nonzero as well.

The perimeter of this rectangle is

P = 2*(length+width)

P = 2*(a+b)

P = 2*(p/q + r/s)

P = 2*(ps/qs + qr/qs)

P = 2*( (ps+qr)/qs )

P = (2ps+2qr)/qs

P = integer/integer = some rational number

We see that the perimeter P is rational if and only if 'a' and 'b' are rational.

From this, notice that the area is

area = length*width = a*b = (p/q)*(r/s) = (pr)/(qs)

Showing that the area is also rational.

If we wanted the area to be irrational, then we'd have to have either 'a' and/or 'b' irrational; this would then make the perimeter irrational as well. This contradiction is sufficient to show that case B is not possible.

There is no way to have a rational perimeter but an irrational area.

Please Help I really need this to not get behind in my math class.

I would award more points but I fear people are just gonna answer with no actual answer and just for points….

Answers

Answer:

1. 12x+19

2.11x+16

3.54

4.3x+5x+8

Step-by-step explanation:

I first wrote the question and grouped like terms.So after grouping these you will get x+2x+8x +x +7 + 2+10 .When you simplify you wil get 12x+19 . If you don't understand comment me

A person sent 213 copies of a junk mail via email. Each email consisted of 2 bytes of data. How many bytes of data were sent altogether? Express the answer in exponential notation.​

Answers

Step-by-step explanation:

a person sent 213 copies of junk via email

each email consisted of 2 bytes

then 213×2=426

log(12), round to the nearest thousandths?​

Answers

Answer:

1.079.

Step-by-step explanation:

Use ur calculator.

In the following statement, change the percent to a reduced fraction. Then diagram the statement and answer the questions.
Twenty-five percent of three dozen plants are blooming.
a. What fraction of the total number of plants are not blooming?
b. How many plants are not blooming?

Answers

Answer:

a. 3/4  b. 27

Step-by-step explanation:

We know 25% percent are blooming, since 100-25 = 75, 75% aren't blooming.

Since 1 / 4 = 0.25, 3/4 = 0.75, so for question a. 3/4 of the plants aren't blooming.

For question b, we know there are three dozen plants, which is 3 * 12 = 36 plants.

75% of 36 = 36 * 0.75 = 27 plants aren't blooming.

Which describes the process that could be used as the first step in solving this equation? 6x = 4 + 5(x + 8) A) Combine like terms by adding 4 + 5. B) Use distributive property to multiply 5(x + 8). C) Use division property of equality to divide both sides of the equation by 6. D) Use subtraction property of equality to subtract 6x from both sides of the equation.

Answers

Answer: B) Use distributive property to multiply 5(x + 8).

Step-by-step explanation:

trust me its right

The first step in solving this equation 6x = 4 + 5(x + 8) is,

⇒ Use distributive property to multiply 5(x + 8).

Option B is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 6x = 4 + 5(x + 8)

Now, We can solve the expression as;

⇒ 6x = 4 + 5(x + 8)

⇒ 6x = 4 + 5x + 40

⇒ 6x - 5x = 44

⇒ x = 44

Thus, The first step in solving this equation is,

⇒ Use distributive property to multiply 5(x + 8).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

1) (3x-5)^2
2) (3xy-1/3)^2

Answers

1)

=(3x)² - 2 × 3x × 5+5²

=3²x²2 × 3x × 5+5²

=9x² -2 × 3x × 5 + 5²

=9x² -2 x 3x x 5 + 25

=9x²30x + 25

I AM SO CONFUSED HELP PLS​

Answers

Answer:

x goes up 1 and f(x) is subtracting 3

Please help I’ll mark brainlist

Answers

Answer:

⚪ 4: three right triangles and one acute-angled triangle.

Step-by-step explanation:

[tex].[/tex]

Answer: 3 right triangles and one acute triangle

3a + 2b = 17, b = 4a - 30

Answers

Hope it helps !!!!!!

If ∠AOB, ∠BOC, and ∠COD are supplementary angles, then what is the value of x and m∠COD?
A.
x = 20; m∠COD = 50°
B.
x = 20; m∠COD = 70°
C.
x = 50; m∠COD = 20°
D.
x = 30; m∠COD = 80°

Answers

Answer:

B

Step-by-step explanation:

x=180-90-20-50=20

m∠COD=20+50=70

Answer:

B

Step-by-step explanation:

∠ AOB + ∠ BOC + ∠ COD = 180° ( AOD is a straight line ) , then

20 + 90 + x + 50 = 180 , that is

x + 160 = 180 ( subtract 160 from both sides )

x = 20

Then

∠ COD = x + 50 = 20 + 50 = 70°

Find the greatest commonFoctor for these
numbers 18, 42, 96​

Answers

Answer:

The greatest common factor for 18,42 and 96 is 6.

Step-by-step explanation:

6 X 3 = 18

6 X 7 = 42

6 X 16 = 96  

making 6 your largest common factor.

Help please. Domain ASAP

Answers

Answer:

x ≥ -1

Step-by-step explanation:

The domain is all the possible x-values of the function.

Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.

So x is greater than or equal to -1.

x ≥ -1

The first person to answer this correctly gets Branilist!

Answers

Step-by-step explanation:

1)8x-2x=35-17

6x=18

x=18/6

x=3

2)7k-2k=-37-8

5k=-45

k=-45/5

k=-9

3)m-9m=-13-3

-8m=-16

8m=16

m=16/8

m=2

4)-4y+3y=12-6

-y=6

y=-6

5)6a-2a=-40

4a=-40

a=-40/4

a=-10

6)5w+2w=55+29

7w=84

w=84/7

w=12

7)5p-13p=-43+11

-8p=-32

8p=32

p=32/8

p=4

8)-c-5c=-2+50

-6c=48

c=-48/6

c=-8

Hi guy.

8x+17= 2x+35
-2x + 8x = -17 + 35
6x = 18
x = *3*


7k+8 = 2k-37
-2k + 7k = -8+-37
5k = -45
K = *-9*


m+3 = 9m-13
-9m + m = 13+3
-8m = 16
m = *-2*

-4y+6 = -3y+12
-4y + 3y = -6 + 12
-y = 6
y = *-6*

6a+40 = 2a
-2a + 6a = 40
4a = 40
a = *10*

5w-29 = 55-2w
2w + 5w = 29 + 55
7w = 84
w = *12*

5p-11 = 13p-43
-13p +5p = 11+43
-8p = 56
p= -7*

-50-c = 5c-2
+c + 5c = 2+-50
6c= -48

C = -8


I hope I can help. By the way I'm from turkey ❤️

1458 smallest whole number by which it should be multiplied so as to get a perfect square number.also find the square root of the square number obtained

Answers

9514 1404 393

Answer:

254

Step-by-step explanation:

The prime factorization of 1458 is ...

  1458 = 2·3^6

The exponent of 3 is even, but we need another factor of 2 to make the exponent of that factor even. You will get a perfect square by multiplying by 2.

  √(2·1458) = √2916 = 54

Multiplying by 2 will give the square of 54.

find the cube root of 5832​

Answers

Answer:

18

hope it helps

Expand and simplify 5)3x+2)-2(4x-1)

Answers

Answer:

It is 7x + 12

Step-by-step explanation:

[tex]5(3x + 2) - 2(4x - 1)[/tex]

open brackets:

[tex] = 15x + 10 - 8x + 2[/tex]

group like terms together:

[tex] = (15x - 8x) + (10 + 2)[/tex]

factorise out x :

[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]

What statement is true about these two triangles?

Answers

Answer:

Step-by-step explanation:

c

Find the perimeter. Simplify your answer.
W+1
w+1
W+1
W+1

Answers

w + 1 + w + 1 + w + 1 + w + 1 =

= w + w + w + w + 1 + 1 + 1 + 1 = 4w + 4 ← the end

Solve the following complex equation

18+22i=3x-2yi

Answers

Answer:

[tex]this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = \frac{18}{3} \: \: \: \: and \: y = \frac{22i}{ - 2i} \\ x = 6 \: \: \: y = - 11 \\ then \: 6 \times 3 - - 2 \times 11i \\ = 18 + 22i \\ thank \: you[/tex]

A particular brand of milk is sold in 1L and 2L bottles. If the shop owner orders 120L of milk and receives 97 bottles in total, calculate how many of each size the shop owner receives.

Answers

Answer:

74 1L bottles and 23 2L bottles

Step-by-step explanation:

We can use algebra to figure out the answer

let the 1L bottles be called m and the 2L bottles be called n

We know that:

(1) m+n = 97

and

(2) m+2n(2L bottles) = 120L

(2) - (1)

m+2n-m-n = 120-97

n = 23

and so

m = 74

Therefore, The shop owner receives 74 1L bottles and 23 2L bottles

find the complement of the B in universe U. U is the set of natural numbers less than or equal to 8. B is the set of even factors of 8.

Answers

Answer:

{1,3,5,6,7,8}

Step-by-step explanation:

U={1,2,3,4,5,6,7,8}

B={2,4}

B is even factors so you won't start with one

The complement of set B will be {1, 3, 5, 6, 7}

A set is an arrangement or collection of numbers. Given the universal sets:

Natural numbers are positive integers starting from 1. Hence the universal set will be:

U = {1, 2, 3, 4, 5, 6, 7, 8}

Factors of 8 are 1, 2, 4 and 8

Set of even factors of 8 will be 2, 4 and 8

B = {2, 4, 8}

Compliment of a set B are sets that are in the universal set but not in set B. Hence the complement of B will be {1, 3, 5, 6, 7}

Learn more here: https://brainly.com/question/18203375

The area of triangle ABC is
square units.

Answers

Answer: Area = 17.5 unit²

Concept:

Here, we need to know how to calculate the area of a triangle.

Area (triangle) = b · h · (1/2)

b = base

h = height

Solve:

Given information (By counting grids on the graph)

b (AB) = 7

h (BC) = 5

Given expression

Area = b · h · (1/2)

Substitute values into the expression

Area = (7) · (5) · (1/2)

Simplify by multiplication

Area = (35) · (1/2)

Area = [tex]\boxed{17.5}[/tex]

Hope this helps!! :)

Please let me know if you have any quesitons

how do you find x the problem is 9x = -22

Answers

Answer:

x = -22/9 or, x = -2.44 in decimal form

Step-by-step explanation:

9x = -22

/9      /9      (divide both sides by 9)

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

x = -22/9     (when converted to decimal form, you get x = -2.44)

please answer this correctly dont answer it wrong please:):):):)

Answers

Answer:

the difference is £0.3 because I have calculated 25% of £1.20 and got£0.3 meaning the Doughnuts at the second shop costs £1.5 which is the sum of 25% of £1.2 and £1.2 and the difference between£1.5 and £1.2 is £0.3

Which graph shows the function f(x) = x with an input of f(x – 3)?

Answers

Can’t answer if you don’t have a graph picture, but put it into your graphing calculator and you should get the answer
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