2x - 8 = 12 - 4x

solve for variable

Answers

Answer 1

Answer:

x = [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{10}[/tex]

Step-by-step explanation:

2x - 8 = 12 - 4x

1) Add 8 on boths sides:

2x - 8 + 8 = 12 - 4x + 8

2x = 20 - 4x

2) Add 4x to both sides:

2x + 4x = 20 - 4x + 4x

6x = 20

3) Divide 6 on both sides

[tex]\frac{6x}{6} = \frac{20}{6}[/tex]

x = [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{10}[/tex]


Related Questions

62. Which of the following polynomials cannot
be factored by factoring out a GCF?
a. 9x2 - 81x + 27
b. 15x2 + 3x
c. 2x + 4
d. 3x2 + 12x + 14

Answers

Step-by-step explanation:

d

joke mmmk,k

nm,iikkk,mk

The polynomial 3x²+12x+14 cannot be factored by factoring out a GCF. Therefore, option D is the correct answer.

What is factorization?

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

Here,

a) 9x²-81x+27

In the given trinomial, in each term 9 is the common factor, so, the GCF of the trinomial is 9.

Thus, 9(x²-9x+3)

b) 15x²+3x

The factors of each terms of binomial is listed below

15x²=3×5×x×x

3x=3×x

So, the GCF is 3x

Now, 3x(5x+1)

c) 2x+4

The factors of each terms of binomial is listed below

2x=2×x

4=2×2

So, the GCF is 2

Now, 2(x+2)

d) 3x²+12x+14

In this trinomial there is no common term.

Therefore, option D is the correct answer.

To learn more about the factorization visit:

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Use the distributive property to write an expression that is equivalent to 8(a + 4).
?

Answers

the answer to this expression is 8a+32

A person whose eyes are 5 feet above the ground is standing on the runway of an airport 100 feet from the control tower. That person spots one of the air traffic controller at the window of the 132 foot tall tower. What is the angle of elevation to the nearest tenth of a degree?

Answers

Answer:

132-5 therefore the height from the eyes to the window is 127

100 feet away from the base of the tower  

This forms two legs of a triangle

trying to find the degrees of this triangle.

Since its the two legs, you can use tanx which = to opposite side/adjacent side

Therefore, it is tanx = 127/100

But you are looking for x so arctan(1.27)

Must use calculator to find x.

plzzz help with this

Answers

The volume of the cylinder is 1,286.1.

The perimeter of a square patio is (8x - 28). What is the length of one side?

Answers

Answer:

Length is 7, Permimeter is 28

Step-by-step explanation:

Perimeter=4×side

(8x-28)=4×x [let length be x]

8x-28=4x

8x-4x=28

4x=28

x=28÷4

x=7

Length = x = 7

Perimeter=(8x-28)

=(7×8)-28

=56-28

=28

Express this number in scientific notation.
31 billion



Answers

Answer:

3.1 * 10^10

Step-by-step explanation:

Find the volume of the cone. What is the radius? 12 What is the height? 5 Write the volume in terms of pi (1/3 times radius squared times the height only). π km3 Solve for the volume (Multiply by 3.14 this time). km3

Answers

Answer:

can you post a pitcure of the question... i cant really understand the words like this.

Step-by-step explanation:

Plz help ASAP!!

Which two rational numbers does v14 lie between?

Answers

Answer:

19/8 and 22/7

Step-by-step explanation:

Answer:

[A. 19/6 and 22/7]

Step-by-step explanation:

In a class there are 20 boys and 15 girls.The ratio of boys to girls is

Answers

Answer:

can u explain more and if not i thnk it is 20:15

Step-by-step explanation:

Answer:

number of boys in the class = 20

number of girls in the class = 15

ratio of girls is to boys(Percentage) = 15/20 x 100

= 0.75 x 100 = 75%

Step-by-step explanation:

please help , thank you !!!!!!1

Answers

Answer is 7.
55+5X=90
5X=90-55
5X=35
X=35/5
X=7

la semana pasada compramos berenjenas a un precio de 2,7soles/kg y patatas aun precio de 0,7soles/kg pagamdo por ellas en total de 15,1soles. sin embargo, esata semana hemos pagado 18 soles por una compra con la misma cantidad de estas hortalizas a un precio de 2soles por kilo de berenjenas y 1,2soles por kilo de patatas.calcula la cantidad de hortalizas que se compran

Answers

Que buena pregunta .....

PLSSS HELPPP REWARD BRAINLIEST AND STARSSS

Answers

Answer:

It will take 3.5s

Step-by-step explanation:

help please i’ll give points !!

Answers

Answer: C :)

Step-by-step explanation:

It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.

Find the product of (3x − 4)(2x2 + 2x − 1).

a
6x3 + 2x2 − 5x + 4

b
6x3 + 14x2 − 11x + 4

c
6x3 − 14x2 − 5x + 4

d
6x3 − 2x2 − 11x + 4

Answers

Answer:

Answer is D.)

6x3 - 2x2 - 11x + 4

someone please help me I have 10 minutes to submit it!!​

Answers

Answer:

x = 5 or x = -5

Step-by-step explanation:

| a b |

| c d |

det = ad - bc

| x 4 |

| 3 x |

det = x * x - 4 * 3 = x^2 - 12

x^2 - 12 = 13

x^2 = 25

x^2 - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or x = -5

Find the area of a parallelogram with these dimensions.

base = 6 meters

height = 2.25 meters

Answers

Answer:

13.5

Step-by-step explanation:

math i did it somehow

The answer would be 13.5 after you multiply both of them

what is 1.7 divided by 0.428​

Answers

3.97196261682 hope this helps!

Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?

Answers

Answer:

The amount Lilian needs to invest is $5,160

Step-by-step explanation:

The parameters of the amount Lilian is going to invest in an account are;

The interest rate the account pays = 5.7%

The final amount the investment is expected to reach after the given time period = $7,600

The number of years of the investment = 7 years

The formula for compound interest is presented as follows;

[tex]A = P \cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]

Where;

A = The final amount = $7,600

P = The amount Lilian is to invest

r = The interest rate = 5.7% = 0.057

n = The number of times the interest is applied per time period = 1

t = The number of period that passes = 7 (years)

Therefore, we get;

[tex]7,600 = P \cdot \left(1 + 0.057 \right)^{7}[/tex]

∴ P = 7,600/(1 + 0.057)⁷ = 5,155.7123754

The amount Lilian needs to invest (rounded to the nearest ten dollars) for the value of the account to reach $7,600 in 7 years, P = $5,160

Find the area of the figure.

Answers

We can’t find the area of the shape just like that. So we have to draw a line and cut the shape, which makes it 1 square and 2 of the same triangles.
Let’s solve for the square first.
Area=Length x Width
A=3 x 6
A=18in
Now the 2 triangles
Area=Base x Height/2
Area=1.5 x 3/2
Area=2.25in
Now add all of them together:
18+2.25+2.25=22.5in

Answer and Step-by-step explanation:

For this shape, we have to draw a line that goes through the point that is inside of the shape from top to bottom.

This creates a square and two triangles.

The area formula for a triangle is A = [tex]\frac{bh}{2}[/tex]

The area of a square is A = b*b

Half of 3 is 1.5.

Triangles (Area combined):

Since there are two triangles that are the same, we only need to find the area of of 1 triangle, and not divide by 2.

A = 3 × 1.5 = 4.5

Square:

A = 3 × 3 = 9

Now, we add them together to get the total area of the figure.

9 + 4.5 = 13.5

The area of the figure is 13.5 [tex]in^{2}[/tex].

#teamtrees #PAW (Plant And Water)

Which graph best represents the solution to the following pair of equations?

y = 4x + 2
y = x + 5

Answers

Answer:

where are the graphs?

Step-by-step explanation:

Answer:

EZ

Step-by-step explanation:

find the volume of the cylinder please, I'll mark brainliest if you can help! ​

Answers

The answer is, V≈1130.97

After checking that conditions are met, you perform a significance test of 0:=1 versus :≠1 . You obtain a -value of 0.022.
Which of the following must be true?

A 95% confidence interval for will include the value 0.022.

A 99% confidence interval for will include the value 1.

None of these is necessarily true.

A 99% confidence interval for will include the value 0.022.

A 95% confidence interval for will include the value 1.

Answers

Answer:

A

Step-by-step explanation:

The true statement is

A 99% confidence interval for will include the value 1.

What is Confidence Interval?

The range of values that we observe in our sample and for which we anticipate finding the value that accurately reflects the population is referred to as a confidence interval.

Given:

[tex]H_0: \mu = 1\\H_\alpha : \mu \neq 1[/tex]

P= 0.022

If the P- value is smaller than significance level, then the null hypothesis is rejected.

P< 0.05 - 5% Reject [tex]H_0[/tex]

P> 0.01 = 1% Fail to Reject [tex]H_0[/tex]

A 95% Confidence interval correspond with a significance test at the 5%

significance level.

A 99% Confidence interval correspond with a significance test at the 1%

significance level.

If the Significance test was Significant then the interval does not contain the value mentioned in the Hypothesis.

95% CI does not contains 1.

99% CI contains 1.

Learn more about Confidence Interval here:

https://brainly.com/question/24131141

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The Weston family spends a maximum of
$50.00 per month on entertainment. Write and
graph an inequality to represent this.

Answers

Answer:

y < 50x

Step-by-step explanation:

In order to graph this inequality, you first need to identify the important word(s) here to find the inequality sign; in this case, it would be "maximum of $50" a month. Since it's a maximum of $50 a month (or less than $50 a month), you can write it as:

Where m is months and c is total cost, c < 50m

If you need to graph this, you can write it as y < 50x. The cost is y since it's the output, and months is x since that's the input.

Please help me

A 3
B 9
C 41
D 1

Answers

Answer:

x = 9

Step-by-step explanation:

Opposite sides of a parallelogram are equal.

16x - 15 = 11x + 30          Subtract 11x from both sides

16x - 11x - 15 = 30           Combine the left

5x - 15 = 30                    Add 15 to both sides

5x = 30 + 15                   Combine the right

5x = 45                           Divide by 5

5x/5 = 45/5

x = 9

What is the greatest common factor of 10 and 15

Answers

Answer:

5

Step-by-step explanation:

The greatest common factor is 5

Cindy throws one red and one blue regular (six-sided) fair dice. Find the probability that the sum of the two dice is greater than 2.

a 1/36
b 35/36
c 33/36
d 1

Answers

Answer:

5/36 is your answer.

Step-by-step explanation:

If the red die shows a "2", then the blue die must take on the values from the set {2,3, 4, 5, 6} in order for the sum of both dice to be larger than 4.

1+2=3

2+3 = 5

2+4 = 6

2+5 = 7

2+6 = 8

There are 6*6 = 36 total ways to roll two dice and exactly 5 ways to get the conditions stated above. The probability of getting a sum greater than 2 is 5/36

The probability that the sum of the two dice is greater than 2 will be 35/36. Then the correct option is B.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

Cindy throws one red and one blue regular (six-sided) fair dice. The total number of events will be

Total events = 6 x 6 = 36

The probability that the sum of the two dice is greater than 2 will be given as

P = 1 - 1 / 36

P = 35 / 36

The probability that the sum of the two dice is greater than 2 will be 35/36. Then the correct option is B.

More about the probability link is given below.

https://brainly.com/question/795909

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what is the area?
diameter of circle is 7 m

Answers

Answer:

the area is 52.49

Step-by-step explanation:

triangle

radius is 3.5

3.5x19=66.5÷2=33.25

hemisphere

π3.5squared=38.48

38.48÷2=19.24

33.25+19.24= 52.49

Write the following numbers in order from least (smallest) to greatest (largest). *
1, 3, -1, 0, -5

Answers

Answer:

-5 , -1 , 0 , 1 , 3

Step-by-step explanation:

giving brainliest! (look in attached image)

Answers

Answer: 50$

Step-by-step explanation:

15:3=5$

25:5=5$

30:6=5$

60:12=5$

5$ x 10=5=50$

*WILL GIVE BRAINLIEST*
*Dont mind the "24" I accidently pressed an answer :(*

Find the surface area of the cube.
side length = 2 cm

A: 4 cm2
B: 48 cm2
C: 24 cm2
D: 12 cm2

Answers

24cm ^2 is the answer

Surface Area = 6×22 = 24 centimeters^2
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