The equation, 6x+12=8x-12 has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form x=a.​

Answers

Answer 1

Final Answer: [tex]x = 12[/tex]

Steps/Reasons/Explanation:

Question: The equation, [tex]6x + 12 = 8x - 12[/tex] has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form [tex]x = a[/tex].​

Step 1: Subtract [tex]6x[/tex] from both sides.

[tex]12 = 8x - 12 - 6x[/tex]

Step 2: Simplify [tex]8x - 12 - 6x[/tex] to [tex]2x - 12[/tex]

[tex]12 = 2x - 12[/tex]

Step 3: Add [tex]12[/tex] to both sides.

[tex]12 + 12 = 2x[/tex]

Step 4: Simplify [tex]12 + 12[/tex] to 24.

[tex]24 = 2x[/tex]

Step 5: Divide both sides by [tex]2[/tex].

[tex]\frac{24}{2} = x[/tex]

Step 6: Simplify [tex]\frac{24}{2}[/tex] to [tex]12[/tex].

[tex]12 = x[/tex]

Step 7: Switch sides.

[tex]x = 12[/tex]

~I hope I helped you :)~


Related Questions

What value(s) of x in the relation below would
create a set of ordered pairs that is not a function?
Justify your answer.
{(0, 5) (1, 5) (2, 6) (x, 7)}

Answers

3 Answers: x = 0, x = 1, or x = 2

==================================================

Explanation:

The relation

{(0, 5) (1, 5) (2, 6) (x, 7)}

has points with x coordinates of: 0, 1, 2, and x.

If we repeated any of the x values listed so far, then we will not have a function.

So if we had the points (0,5) and (0,7), then the input x = 0 leads to multiple outputs. A function is only possible when any input x leads to exactly one output y.

This means that if x = 0, 1, or 2, then we won't have a function.

Side note: The y values can repeat, but if they do, then we won't have a one-to-one function. In this case, y = 5 repeats, so this function is not one-to-one (assuming x is not 0, not 1, and not 2).

Solve for w.

−(1/4w+8)+8=3

w=134
w = 52
w=−34
w=−12

Answers

Solve for w by simplifying both sides of the equation, then isolating the variable.

D. w = −12

please help me out! I need help asap

Answers

Answer:

That's a lot also can i get brainliest please

Step-by-step explanation:

1: 16.50

2: 45.00

3: 30

4: half or 1.5

5: 60

6: 20

7: 315

Find the value of x. Then find the measure of each labeled angle.
X
(x-44)
x =
(x - 44)° = 11

Answers

Answer:

x=55

Step-by-step explanation:

I need help ASAP :) thank you!

Answers

Answer:

x=2, y=0

Step-by-step explanation:

Answer? Need it quickly​

Answers

2x3y4/2x I think that’s the answer

The answer is C 2x3y4/ 2x

A dog has a litter of 5 puppies. You plan to adopt 2 of the puppies. In how many ways can you choose 2 of the puppies from the litter?

Answers

Step-by-step explanation:

Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.

Pleaseeeee answer !!!!!!!!!! What is the triangle ?! Will
Mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

Isosceles Obtuse

Step-by-step explanation:

one angle is greater than 90 degrees makes it obtuse

two sides are same so isoscleles

pls give brainliest

Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him

Answers

it will cost him 15,539.99

5.
16 yd)
14 yd
6 yd

Answers

are you looking for the perimeter or area or what

Jeanna is making holiday cupcakes for her family. She typically makes 2 dozen red velvet and 3 dozen gingerbread spice cake. Since everyone is staying home for the holiday, she needs to increase this standard amount by 3 to have enough to send to family and friends far and wide. How many dozens of cupcakes will Jeanna need to make?

Answers

Answer:

15 dozens of cakes

Step-by-step explanation:

It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.

So,

2 dozens of velvet cakes, i.e.

2 x 12 = 24 red velvet cakes

Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.

Similarly,

3 dozens of gingerbread spice cakes, i.e.

3 x 12 = 36 gingerbread spice cakes

Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.

Therefore the total number of cakes is = 72 + 108

                                                                 = 180 cakes.

We know 1 dozen = 12

Therefore dividing 180 cakes by 12, we get

[tex]$=\frac{180}{12}$[/tex]

= 15 dozen cakes.

Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.

Evaluate the expression.
4.2°

Answers

Answer:

4.2°

Step-by-step explanation:

The result can be shown in multiple forms.

Exact Form: 4.2°

Decimal Form: 4.2

I hope this helps!

How do linear and exponential functions compare over time?

Answers

Answer:

Exponential Functions

In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier—it will never be the same, but there will be a pattern.

Solve y−4=3x+5y for y.

Answers

Answer:

-8y = 3x

Step-by-step explanation:

-4y=3x+4

Answer:
y=3/-4x-1


(the slash is a fraction sign)

Need answer ASAP! Plsss!!!

Answers

Answer:

2/9

Step-by-step explanation:

You multiply the probability of the green ball which is 8/12 by the probability of the purple ball which is 4/12 and you get 0.222 which is also 2/9.

Which fraction is equivalent to 0.4?

StartFraction 4 over 100 EndFraction
One-fourth
Four-tenths
StartFraction 4 over 1 EndFraction

Answers

Answer:

Four-tenths

Step-by-step explanation:

Four-tenths

Hope it helps you in your learning process.

Jeremiah's retirement party will cost $16 if he invites 4 guests. What is the maximum number of guests there can be if Jeremiah can afford to spend a total of $20 on his retirement party? Solve using unit rates.

Answers

Answer:

5 guests

Step-by-step explanation:

Jeremiah party will chat $16 if he invites 4 guest

The first step is to calculate how much it will cost to feed one guest

$4 = 16 guests

1 guest= 16/4

1 guest = $4

Therefore if Jeremiah can afford to spend $20 then the maximum number of people that will be present can be calculated as

$4 = 1 guest

$20= 20/4

= 5 guests

Hence the maximum number of guest is 5 guests

The teacher baked a batch of muffins there's are 16 muffin in a batch she ate 1/4 of the batch she baked two more batches how many muffins does she have now

Answers

Answer:

Step-by-step explanation:

she ate 1/4 of the batch = 16/4 = 4 muffins were left

she baked two more batches = 16* 2 = 32

4 + 32 = 36 muffins

or

no. of muffins in a batch: 16

no of muffins he ate = 1/4 of 16

                                 = 4

no. of muffins left: 16 - 4= 12

his mother then baked 2 more batches= 16+16

                                                                =32

no. of muffins left = 32+12 = 44

dont forget to mark this as the branliest answer if it helped you!

#HAVE FUN!! with muffins!!!

#GautamPro

Answer:

44

Step-by-step explanation:

16-4 equals 12 each batch equals 16. 16 times 2 equals 32 plus 12 equals 44

Increase £2123 by 8%
Give your answer rounded to 2 DP.

Answers

Answer:

2292.84

Step-by-step explanation:

The equation for the cost in dollars of producing computer chip is y = .000015x^2 - .03x +35. Where X is the number of chips produced. Find the number of chips that minimizes the cost. What is the cost for that number of chips?

Answers

Answer:

The equation for the cost in dollars of producing computer chips

The equation for the cost in dollars of producing computer chips is C = 0.000015x^2 - 0.03x + 35, where x is the number of chips produce. Find the number of chips that minimizes the cost.

Step-by-step explanation:

You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?

A: 40

B: 3,360

C: 4,096

D: 32,768

Answers

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

[tex]First = 8\ marbles[/tex]

[tex]Second = 8\ marbles[/tex]

[tex]Third= 8\ marbles[/tex]

[tex]Fourth = 8\ marbles[/tex]

[tex]Fifth = 8\ marbles[/tex]

Total number of ways is then calculated as:

[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]

[tex]Total = 32768[/tex]

Find the equation of the line.
Use exact numbers.
y=___x+____


Answers

The correct answer is
Y= 2x + 4

Because the line lies on the number “4” which is on the Y axis
And the slope is 4 spaces up and 2 spaces to the right

help!! offering lots of points and brainliest!

Answers

Answer:

It would be C

Step-by-step explanation:

So, shows in the graph, you can see that the change in rise is 100, because to get to 150 from 50, you add 100

And the run is 1, because to go from 0 to 1, you add 1

Meaning the slope is 100/1

Hope this helped!

(10-3)(-2)

giving brainlist out

Answers

Answer:

i think the answers 5

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

(10-3)(-2)

(7)(-2)

-14

can somebody teach me how to do this 1 math question, its about solve for the area! WILL Give Brainiest!

Answers

Answer:

area is 100m  bc u do 10 times 10

Step-by-step explanation:

Answer:

139.27 meters squared

Step-by-step explanation:

So what you're doing is calculating the square's area and half of the circle's area.

The square's area is 100m^2 since 10*10=100

For the circle part, you use πr^2. You know the diameter of the circle, and radius is half of the diameter, so 10/2=5.

π*5^2 = 78.54 m^2

Since you have half of a circle you divide this by 2.

39.27

Finally you add your two areas together

100+39.27=139.27 meters ^2

Micheal walks 3.5 km every day . How far does he walk in 9 days . Write in meters

Answers

31500 meters.

Step-by-step explanation:

3.5 km times 9 = 31.5 km

25.5 km = 31500 meters

Let me know if you have any issues or need help!

Answer:

31500 meters

Step-by-step explanation:

If he walks 3.5 km a day and he walks 9 days, then multiply those together.  That will give you 31.5 km. Converted to meters would give you 31500.

You and two friends buy snacks for a field trip. Using the
information given in the table, determine the price per pound for mixed nuts,
granola, and dried fruit.

Answers

Answer:

13.15

Step-by-step explanation:

please help!!! if anyone knows

Answers

Answer:

The answer is 24in a am very sure

Step-by-step explanation:

Answer: The missing side is 24 inches

Step-by-step explanation:

Since it is a right angle that  means that we can use the Pythagorean Theorem formula to solve for   the B.

The formula says that  a^2 + b^2 = c^2   Since we know  a is 18 and c is 30 we will input the value into the formula to solve for b.

18^2 + b^2 = 30^2

324 + b^2 = 900

-324               -324

  b^2 = 576

  b = [tex]\sqrt{576}[/tex]  

  b  = 24

Lorraine and Bea are learning to type on a computer keyboard, Lorraine's
typing speed is represented by the equation y = 9x where y is the number of
words she types and is the number of minutes, Bea's typing speed is given by the graph

Answers

Answer:

A

Step-by-step explanation:

I took one for the team

Answer:

yes for the exam its a

Step-by-step explanation:

ACe
medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine.
What is the weight of a patient who requires 200 milligrams of medicine?

Answers

Answer:

weight of the patient = 175 pounds

Step-by-step explanation:

Patient body weight : medicine

119 : 136

What is the weight of a patient who requires 200 milligrams of medicine?

Let

Patient body weight = x

Patient body weight : medicine

x : 200

Equate both proportions

119 : 136 = x : 200

119 / 136 = x / 200

Cross product

119 * 200 = 136 * x

23,800 = 136x

x = 23,800 / 136

= 175

x = 175 pounds

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