Solove for x 3/2+1/2x=2x

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

[tex]\frac{1}{2}x + \frac{3}{2} -2x = 2x - 2x[/tex] [tex]-\frac{3}{2}x + \frac{3}{2} = 0[/tex]

Step 2: Subtract 3/2 from both sides.

[tex]-\frac{3}{2}x + \frac{3}{2} - \frac{3}{2} = 0 - \frac{3}{2}[/tex] [tex]-\frac{3}{2}x = -\frac{3}{2}[/tex]

Step 3: Multiply both sides by -2/3.

[tex]-\frac{3}{2}x * -\frac{2}{3} = -\frac{3}{2} *- \frac{2}{3}[/tex] [tex]x = 1[/tex]

Step 4: Check if solution is correct.

[tex]\frac{3}{2} + \frac{1}{2}(1) = 2(1)[/tex] [tex]\frac{3}{2} + \frac{1}{2} = 2[/tex] [tex]\frac{4}{2} = 2[/tex] [tex]2 = 2[/tex]

Therefore, x = 1.

Have a lovely rest of your day/night, and good luck with your assignments! ♡


Related Questions

`whats 1+1=? and why does it equal that?

Answers

Answer: 1 + 1 = 2

Step-by-step explanation:because that's how we've defined it, in the same way that the word "cat" refers to small, furry, feline creatures because that's how we've defined it.

Answer:

1 + 1 = 11! :D No, just kidding 1 + 1 = 2

Step-by-step explanation:

1 + 1 = 2. You're taking 2 numbers (1) worth 1 value and adding them together to make the number 2.

I dont know how to explain but I hope this cures your curiosity-

A meteor moving 475 km per minute traveling in a south-to-north direction passed near Earth
in 2013. Because the meteor was only 45 m wide and was 27,700 km above Earth's surface,
it was not visible without the aid of a telescope.
A)
Its velocity was 475 km/second southward
B)
Its acceleration was 475 km/second2.
09
Its velocity was 475 km/ minute northward
D)
Its acceleration was 7.8 km/second2.

Answers

Answer:

C. its velocity was 475 km/ minute northward.

Step-by-step explanation:

Its velocity was 475 km/ minute northward. Then the correct option is C.

What is a vector?

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

A meteor moving 475 km per minute traveling in a south-to-north direction passed near Earth in 2013. Because the meteor was only 45 m wide and was 27,700 km above Earth's surface, it was not visible without the aid of a telescope.

The velocity is the vector quantity. So, the direction in the space will not change.

Its velocity was 475 km/ minute northward. Then the correct option is C.

More about the vector link is given below.

https://brainly.com/question/13188123

#SPJ6

please help i will give promise

Answers

The answer is in the image

A vending machine randomly dispenses gumballs of three flavors: orange, grape, and cherry. If the machine currently contains 20 orange, 12 grape, and 7 cherry gumballs, what is the least number of gumballs the machine must dispense in order to ensure that three orange gumballs have been dispensed

Answers

Answer:

22

Step-by-step explanation:

Find the worst case scenario.

Worst case:

12 grape gumballs, 7 cherry gumballs, and 3 orange gumballs.

12 + 7 + 3 = 22

The answer is 22 gumballs.

Hope this helps :)

Have a great day!

Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24.
Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.
They set up the situation with the equation below, where x is the number of pairs of pants.
Is there a situation in which they pay the same amount for their purchases?
Select all statements that correctly represent this situation.

Answers

Answer:

I'm sure that there is a second part love sorry

In the diagram, a student placed a mirror on level ground, then
stands so that the top of a nearby tree is visible in the mirror. What
is the height of the tree?

Answers

24m- the triangles are proportionate therefore
base = 3 : 36

height = 2: ?

well let’s simplify it
how many threes are in 36 if they are related to each other otherwise
3 multiplied by what equals to 36
3*_=36? 12

hence we can relate that to the the height as well, 2*12= ?

24 is the answer

if you want it done more algebraically it would look like this -
3. 36
- = -
2. x

cross multiply
3x = 2*36
x= 2*36
——
3

x=24

Find the number that makes the ratio equivalent to 1:9.
5:

steps pls

Answers

Answer:

The number might be 2and 18 if we find ratio of 2 and 18 it comes 1:9

Which graph represents the solution to the given system y=-x 2.

Answers

Answer:

You didn't post a graph but it should look like this:

Step-by-step explanation:

At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 4179 oranges.

Answers

he initial number of trees was 204.

How to find the initial number of trees?

The first step to finding the initial number of trees is to write an equation that represents the situation.

T is equal to the initial number of trees.5 trees were removed = t - 5Each tree produces 210 oranges = (t-5) (210)The total of oranges is 41,780 = (t-5) (210)= 41,780

Solve the equation:

(t-5) (210)= 41,780t-5= 41,780 / 210 t-5 = 198.95t = 198.95 + 5t = 203.9

This number can be rounded as 204.

Note: This question is incomplete; here is the missing section:

Find the initial number of trees.

Learn more about equation in: https://brainly.com/question/2263981

i buy 3 apples to 4 bananas. If I buy 6 more bananas than apples, how many total pieces of fruit did I buy?

Answers

Answer:

42

Step-by-step explanation:

The difference in ratio units is 1, which corresponds to a difference in fruit count of 6. So the total of 7 ratio units must represent 7×6 = 42 pieces of fruit.

Find the time it would take, in hours, to travel 50 miles.

Answers

Answer:

1 hr at the speed of 50 mph

Step-by-step explanation:

If you went 50 mph it would be 1 hour. 100mph = 30min.

The time it will take to cover a given a given distance of 50 miles, assuming a speed of 20 miles per hour is 2 hours 30 minutes

Given Data

Distance = 50 miles

We Need another parameter speed, this will help us determine the exact time it would take to travel given the distance

Let us assume a speed of 20 miles per hour

We know that the expression relating speed, distance and time is given as

Speed = Distance/Time

Substituting we have

20 = 50/t

solving for t we have

t = 50/20

t = 2.5 hours

This is the same as 2 hours 30 minutes

Learn more about speed here:

https://brainly.com/question/4931057

The measures of the three angles whose sum is 90° are in the extended ratio 2:3:4. Find the exact angle measures.

Answers

2x+3x+4x=9x
90/9=10
A1: 2x.10=20
A2: 3x.10=30
A3: 4x.10=40
Give a brainliest please:-)

what is 15 meters decreased by 60%

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 15}}{\left( \cfrac{60}{100} \right)15}\implies 9~\hspace{7em} \stackrel{15-9}{6}[/tex]

Answer:

-9

Step-by-step explanation:

Solve -2x+4y=12 for y. A) y=2x+3 b) y= 1/2x+3 c) -y=-1/2x -3 d) x-2y=-6

Answers

Answer:

B y=1/2x+3

Step-by-step explanation:

1st isolate y by its self. 2nd eliminate x form left side. 3rd add +2 to both sides.4th divide both side with 4. then you divide both sides and you should get y=1/2x+3.

50(x-60) help me or i'll FAIL

Answers

Answer:

50x - 3000

Step-by-step explanation:

Use the distributive property

50x - 3000

What is the value of a in the equation below?

3 1/2a - 16 = 3a – 10

a =

Answers

Answer:

[tex] \frac{3}{2} a - 16 = 3a - 10 \\ \frac{3}{2} a - 3a = 16 - 10 \\ - \frac{ 3a}{2} = 6 \\ a = - 4[/tex]

Help please helpppppppppp

Answers

Answer: 2 1/2
ONLY 2 BUTTONS ARE LONGER THAN 1 INCH!!
1 1/4 inches or 5/4 inches —> Button Size
2 Buttons: 5/4 + 5/4 = 10/4 = 5/2 or 2 1/2

Answer:

2 1/2 inches

Step-by-step explanation:

(See attachment below)

Solve the given equation.64^-x/3=1024

Answers

hi there the anser is 4

pls help its geometry

Answers

The answer is AA (Angle-Angle) because when two triangles have two congruent angles, both the triangles are congruent.

I hope this helps

Graph a line that contains the point (-5,-3) (−5,−3) with a slope of -2

What's the answer please help??

Answers

Answer:

See below and attached graph.

Step-by-step explanation:

The slope-intercept form of a straight line equation is y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

With a slope of -2, we can write:

y = -2x + b

To find b, enter the given point (-5,-3) and solve for b:

y = -2x + b

-3 = -2(-5) + b

-3 = 10 + b

b = -13

The equation becomes:  y = -2x -13

See the attached graph.

This is for 60 points please answer ASAP

Answers

Answer:

In 10.2 years the populations will be equal (390 each).

Step-by-step explanation:

See attached graph.

Use the distributive property to write an equivalent expression.
9(9x+2y-6)

Answers

Step-by-step explanation:

Multiply the number outside the brackets to the numbers inside:

So,

9 * 9x = 81x

9 * 2y = 18y

9 x -6 = -54

So the simplified or equivalent expression is:

81x + 18y - 54

2.
A recipe calls for 2
c. of flour for every
16 lbs of fruit.
What is the ratio
of four to fruit in
simplest form?

Answers

Answer:

1:8

Step-by-step explanation:

well, you're starting with the ratio 2:16, if you divide that by 2 (simplest form) you get 1:8

Refer to the figure at the right to determine the nearest of each given angle.
25 points if correctly!
Ignore the white scribbles.
If answered best of all the person who gave the answer will get brain thingy.
It’s due today.

Answers

13. 76
14. 40
15. 64
16. 140
17 104

Solve the System of Equations

Answers

Answer:

x = -4

y = 6

Step-by-step explanation:

[tex]y = \dfrac{-3}{4}x+3----(i)\\\\\\y = \dfrac{-1}{2}x+4-----(ii)\\\\\\Substitute \ y = \dfrac{-3}{4}x+3 \ in \ equation \ (ii)\\\\[/tex]

            [tex]\dfrac{-3}{4}x+3=\dfrac{-1}{2}x+4\\\\\\\dfrac{-3}{4}x+\dfrac{1}{2}x +3 = 4\\\\\\\dfrac{-3}{4}x+\dfrac{1*2}{2*2}x+3=4\\\\\\\dfrac{-3}{4}x+\dfrac{2}{4}x=4-3\\\\\\\dfrac{-1}{4}x=1\\\\\\x=1*\dfrac{4}{-1}\\\\x=-4[/tex]

[tex]Substitute \ x = -4 \ in \ equation (i)\\\\y=\dfrac{-3}{4}*(-4)+3\\\\\\y=3+3\\\\y=6[/tex]

There are 22 animals in the barn. Some are ducks and some are oxen. There are 72 legs in all.
How many of each animal are there?

Answers

Answer:

14 oxen8 ducks

Step-by-step explanation:

Let x represent the number of oxen. Then the number of ducks is 22-x and the number of legs is ...

  4x +2(22 -x) = 72

  2x +44 = 72 . . . . . . . simplify

  x +22 = 36 . . . . . . divide by 2

  x = 14 . . . . . . . . . subtract 22; the number of oxen

  22-x = 8 . . . . . the number of ducks

There are 8 ducks and 14 oxen in the barn.

How do sig figs work for subtration if there are no decimals.

Answers

Answer:

In picture

I hope this helps! :)

I put my old notes in the second picture to better help you understand if they don’t please comment on this and I’ll try to help you further.

Simplify the expression 3^7n^32 3^2n^84?

Answers

Answer:

19683^116

Step-by-step explanation:

pls help i will put Brainliest ​

Answers

Answer:

It would have to be cup C.

What is the value of x? Round to the nearest tenth, if necessary. X = 4 x = 5 x = 6. 2 x = 9. 4.

Answers

You can use the Pythagoras theorem to get the value of x.

The value of x is given by

Option C: x = 6.2

What is Pythagoras theorem?

The Pythagoras theorem:

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

Using the above theorem to find the value of x for the given figure

Refer to the figure attached below.

The triangle BAD is right angled triangle (one angle is 90 degrees).

The length of CD is 13 - x units.

Thus, we have:

[tex]|AD|^2 + |DB|^2= |AB|^2\\\\Length(AD)= \sqrt{169-81} = \sqrt{88} = 2\sqrt{22}[/tex]

For triangle ACD, we have:

[tex]|AC|^2 +|CD|^2 = |AD|^2\\|AC| = \sqrt{(2\sqrt{22})^2 - (13-x)^2} = \sqrt{-81 -x^2 - 26x}\\[/tex]

For triangle ACB, we have;

[tex]|AB|^2 = |AC|^2 + |CB|^2\\81 = (-81-x^2 +26x) + x^2\\\\x = \dfrac{162}{26} = \dfrac{81}{13} \rm \: units \approx 6.2 \: \rm units[/tex]

Thus,

The value of x is given by

Option C: x = 6.2

Learn more about Pythagoras theorem here:

https://brainly.com/question/12790596

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