What is the solution to the equation 3(x - 1) – 2(2x + 1) = 8(x - 1)?

Answers

Answer 1
1. distribute and get:
3x - 3 - 4x - 2 = 8x - 8

2. simplify the first side of the equation
- x - 5 = 8x - 8

3.move all the x’s to one side
-5 = 9x - 8

4. completely isolate the 9x

3 = 9x

5. solve
x = 1/3

let me know if this is correct :)!

Related Questions

what is the length of side x in the above right triangle​

Answers

Answer:

4

Step-by-step explanation:

b² - a² is the formula

5² - 3²

16

√16

= 4

Find the length of AB.
A
O 140°
8 m
B
Round your answer to the nearest hundredth.
ÁB = [ ? ]m

:)

Answers

Answer:

19.55m

Step-by-step explanation:

We solve the above question using the formula for Arc Length

The formula of Arc length when central angle is given in degrees = Length of AB

= θ/360 × 2πr

Central angle = θ = 140°

Radius = r = 8m

Hence,

Length AB = 140/360 × 2 × π × 8

= 19.547687622 m

Approximately to the nearest hundredth, the length of AB = 19.55m

I need help ASAP plz

Answers

This is a right triangle. To find the third side of a right triangle. Use the Pythagorean Theorem.
a^2+b^2=c^2
a and b are the legs, c is the hypotenuse.
a^2+7^2=16^2
a^2+49=256
Subtract 49 from both sides:
a^2=207
Square foot:
a=14.38749457 in.
Round to nearest tenth:
14.4 in

Answer:

a = 14.4

Step-by-step explanation:

It's a right angled triangle. so it has to follow Pythagoras Theorem

according to it square of hypotenuse = sum of squares of other two sides

[tex]16 {}^{2} = {x}^{2} + 7 {}^{2} \\ 256 = x {}^{2} + 49 \\ 256 - 49 = x {}^{2} \\ 207 = x {}^{2} \\ x = \sqrt{207 } \\ x = 14.387 \\ x = 14.4[/tex]

after rounding the decimal a= 14.4 in

Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree. 4tan^2 θ+tanθ=−4tanθ−1

Answers

Answer:

135 and 315degrees

Step-by-step explanation:

Given the expression

4tan²θ+tanθ=−4tanθ−1

Equate to zero

4tan²θ+tanθ+4tanθ+1 = 0

4tan²θ+5tanθ+1 = 0

Let x = tanθ

4x²+5x+1 = 0

Factorize;

4x²+4x+x+1 = 0

4x(x+1)+1(x+1) = 0

4x+1 = 0 and x+1 = 0

4x = -1 and x = -1

x = -1/4 and -1

Since x = tanθ

-1 =tanθ

θ = arctan(-1)

θ = -45degrees

Since tan is negative in the 2nd and fourth quadrant;

In the second quadrant

θ = 180 - 45 = 135degrees

In the fourth quadrant;

θ = 360 - 45 = 315degrees

Hence the required angles are 135 and 315degrees

The ratio of girls and boys in Aamir’s class is 3:2 if the number of girls in his class is 21 , what is that number of boys ? The number of boys in Aamir’s class=

Answers

Answer:

16

Step-by-step explanation:

for every 3 boys there is 4 girls

divide 12 by 3 and the answer is 4

multiply 4 by 4

16 This will be your answer

Whats 8^6 ÷ 8 pls ty :D

Answers

Answer:

[tex] {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} [/tex]

Answer:

[tex]8^{5}[/tex] or 32768

Step-by-step explanation:

When dividing exponents, you subtract the exponent on the top from the one on the bottom:

[tex]8^{6}[/tex]/[tex]8^{1}[/tex] = [tex]8^5[/tex]  because 6-1 = 5

Find the simplified quotient
27 +51 +3
12-37-4
.
47 +27 -6
X-8x +16
о
1-4
21-2
O
1
27-2
O
X-4
y-

Answers

Answer:

y24 x66

Step-by-step explanation:

Yeah!! than vsj haha yeamKah

Acellus
If P = (3,2), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box
Enter

Answers

Answer:

(-2, 3)

Step-by-step explanation:

Think of this in the future:

Counter-clockwise rotations:

90-degree --> (x,y) = (-y,x) ex. (3,2) --> (-2,3)

180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3, -2)

270 degree --> (x,y) = (y,-x) ex. (3,2) --> (2, -3)

Clockwise rotations:

90-degree --> (x,y) = (y, -x) ex. (3,2) --> (2, -3)

180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3,-2)

270-degree --> (x,y) = (-y, x) ex. (3,2) --> (-2,3)

Please help it's urgent!

Answers

Means just trust me I did it
Means I think it’s correct

What is the area of the triangle shown below?​

Answers

Answer:

12

Step-by-step explanation:

Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.

A = bh/2

A = 8 * 3/2

A = 12

Pls help me with this

Answers

Answer:

5.85

Step-by-step explanation:

100%-> 6.50

100%-10% = 90 %

90%-> 6.50/100 x 90

           =5.85

In a school the ratio of boys to girls is 3:2. What percentage of the students are girls?

Answers

25% percent of the students are girls

can you please help? f(x)=x^2 what is g(x)?

Answers

Answer:

D

Step-by-step explanation:

g(x) will be -x^2-3. The minus in front of the x makes the graph flip upside down, and the "-3" indicates its position on the y-axis. Hope this helps!!

Answer: Choice D.  g(x) = -x^2-3

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

Explanation:

Start with the curve y = x^2.

Reflect it over the horizontal x axis to get y = -x^2

Then shift everything down 3 units to arrive at g(x) = -x^2-3

You can use a tool like Desmos or GeoGebra or anything similar to help verify this.

the following table shows the number of fire hydrants in each neighborhood overseen by District 9​

Answers

Answer:

where is the table

Step-by-step explanation:

Answer:

whare is the table?

Step-by-step explanation:

we cant answer if theres no table

Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better, she dances for 20 minutes longer than she works on math.

How much time does Pam spend practicing math every day? Show your work.

Answers

Answer:

30 minutes

Step-by-step explanation:

20+30+20--80

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the mode

Answers

Answer:

118

Step-by-step explanation:

Mode refers to a value that appears most frequently in a data set.

For example the mode in the data set below is 3 :

1, 2,3 4,3,3,9,10

3 is the mode because it appears 3 times while others appear once in the data set while the other values appear only once.

Mode is a measure of central tendency

118 appears 3 times while others appear once so it is the mode

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct?

Answers

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

[tex]y - y'= \frac{y''-y'}{x''-x'}\times (x-x')[/tex]

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

What is the sign of -9. (0/-3)

Answers

Answer:

C    Zero

Step-by-step explanation:

[tex] -9 \times (\dfrac{0}{-3}) = [/tex]

[tex] = -9 \times 0 [/tex]

[tex] = 0 [/tex]

Answer: C  Zero

A swimmer breaks a world record by 0.07 seconds. The old record was 49.51 seconds. What is the swimmer's new world record?
a. 49.58 seconds
b.49.44 seconds
c.48.81 seconds
d.48.58 seconds

Answers

Answer:

B

Step-by-step explanation:

Simply subtract 0.07 from 49.51 too get 49.44.

Hope that this helps!

Find the rest of the equation.

Answers

Answer:

D = 48  E= 90 F = 42 FE = 15

Step-by-step explanation:

Sorry, i dont know how to get DF and DE yet

Jason wants to know the percentage of M & M's that are green. He chooses a sample of 30 M & M's from a bag, and 3 of them are green. What is the margin of error of his experiment (round to 4 decimal places)? .1074 .1074 .9845 .9845 .1235 .1235 .8824

Answers

Answer:

The margin of error of his experiment is of 0.1074.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

30 M & M's from a bag, and 3 of them are green.

This means that [tex]n = 30, \pi = \frac{3}{30} = 0.1[/tex]

Standard 95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.1*0.9}{30}}[/tex]

[tex]M = 0.1074[/tex]

The margin of error of his experiment is of 0.1074.

El angulo de elevacion del sol es de 29°12'35''. Calcular la longitud de la sombra proyectada por un hombre de 1,75m de estatura.

Answers

Respuesta:

3,59 metros

Explicación paso a paso:

Conversión del ángulo de elevación a grados;

29 ° 12 '35 "

= 29 ° + 12 '/ 60 + 35 "/ 3600

= 29,20972 °

Resolviendo el triángulo de solución adjunto:

La longitud de la sombra se puede obtener utilizando la relación trigonométrica;

Sin θ = opuesto / hipoteno

Sin 29.20972 = 1.75 / sombra

Sombra = 1.75 / Sin 29.20972

Longitud de la sombra = 3,59 m

BRAINLIEST FOR CORRECT ANSWER.

I drew what option c was for the third answer

Answers

Answer:

B A B

Step-by-step explanation:

Answer:

1. A or one meter

2. A or 4 kilometers

3. B or 4 thousand strides

Step-by-step explanation:

marathon is 4 kilometers and a kilometer is 1000 strides or meters.

Please help me i'm struggling!

Answers

i believe it’s all of them except the first one

helppppp meeee, I need all three, I need an explanation tooo

Answers

Answer:

Step-by-step explanation:

for the first one: d

Plot the points P (2, -3) & Q (-5, -3) whose ordinates are same. To which axis the line PQ is parallel.

Answers

Given :

The points P (2, -3) & Q (-5, -3) whose ordinates are same.

To Find :

To which axis the line PQ is parallel.

Solution :

In given points the ordinates are same.

Therefore, the line is parallel to the x- axis.

Hence, this is the required solution.

Which numbers are written in scientific notation? Check all that apply.
0.87x10^8
15.489 x 10^6
O 10.1x 10^-12
07.08 x 10^6
1.2345 x 10^-1

Answers

Answer:

The last two

Step-by-step explanation:

Scientific notation:

a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8

PLEASE HELP MEEEE:((

Answers

Answer:

g(x)=[tex](3x)^{2}[/tex]

Step-by-step explanation:

In this graph g(x) will be equal to g(x)=[tex](3x)^{2}[/tex]. Multiplying a squared variable will close the parabola together, but multiplying the variable itself and then calculating the square will exponentially close the parabola. Without the parenthesis x would be substituted for 1, 1 squared is 1 and multiplied by 3 would be 3. Therefore, giving you a coordinate of (1,3). With parenthesis that would be 3 times greater which would give you a coordinate of (1,9) as can be seen in the graph attached below.

A 2 kg hammer is used to nail a 0.002 kg nail with a force of 10 N. How much force is applied to the hammer?

Answers

Answer:

19.62N

Step-by-step explanation:

Given data

Mass =2kg

Force =10N

The applied force is

F=mg

F=2*9.81

F=19.62N

Hence the applied force is 19.62N

Which of these answer choices can find the width


A. Width = (70 yd + 40 yd) /2

B. Width = (70 yd + 40 yd) /4

C. Width = (70 yd - 40 yd) /2

D.width = (70 yd - 40 yd) /4

Answers

Answer:

C

Step-by-step explanation:

2 (20)=40

70-40=30

30/2 = 15 actual width of both sides

P= 2l + 2w

B.width=70yd+40yd)/4
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