Solve for x: 2(10-2x) = 4(3x + 1). Write your answer as a fraction.

Answers

Answer 1

Answer:

[tex]\boxed{x=1}[/tex]

Step-by-step explanation:

[tex]2(10-2x) = 4(3x + 1)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]20 - 4x = 12x + 4[/tex]

[tex]\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.[/tex]

[tex]20 - 4x - 12x - 20 = 12x + 4 - 12x - 20[/tex]

[tex]-16x = -16[/tex]

[tex]\sf Divide \ both \ sides \ by \ -16.[/tex]

[tex]\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}[/tex]

[tex]x=1[/tex]

Answer 2

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 1

▹ Step-by-Step Explanation

2(10 - 2x) = 4(3x + 1)

Simple terms are written last:

2(-2x + 10) = 4(3x + 1)

Distributive Property:

-2 * 2x + 2 * 10 = 4 * 3x + 4

x = 1

Hope this helps!

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Related Questions

What are the domain, range, and midline of the function f(x)=1/2cos(1/4x)-1?​

Answers

Your function is: [tex]f(x)=\frac{1}{2}\cos \Big( \frac{1}{4x}\Big) -1[/tex]

Domain: $(-\infty, +\infty)-\{ 0 \}$ or $R-\{ 0 \}$

Range: $[-\frac{3}{2}, -\frac{1}{2}]$

Midline: $y=-1$

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answers

Step-by-step explanation:

of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answer:

you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.

Step-by-step explanation:

Thanks!

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 665 milliliters of the drug, how many milliliters of compound B are needed?

Answers

375 milliliters of compound B

375 millimeters of compond B

If 6 • 3 = 18, then 4 + 8 = 20. T F → F T T → T F T → T F F → T

Answers

Answer:

False.

Step-by-step explanation:

For the statement: "If 6 • 3 = 18, then 4 + 8 = 20.":

6 * 3 = 18

If you added two after multiplying 6 and 3, you would get 20.

(6*3) + 2 = 20

8 + 4 does not equal 20.

8 + 4 = 20

12 ≠ 20

False byvgctdbuvy fr fyp

Can someone do this?

Answers

Answer :
Do what??
Explain:
Hehehhehehehhehehe
I have something similar and I need help :(

Factor the following expression completely:

32
z
4
+
8
z
3

4
z
2

Answers

Answer:

40z + 5

Step-by-step explanation:

I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2

32z + 8z ( since they both have the same variable ) = 40z4 + 3 - 4 + 2 ( since they have to variables ) = 5

Hope this helped

Answer:

The factored expression for the given equation is 4(8z⁴ + 2z³ - z²)

Step-by-step explanation:

In the problem, we a re given an equation.

32z⁴ + 8z³ - 4z²

We can factor out this equation by finding the common factor between all of the coefficients which are 32, 8, and 4.

A common factor between them is 4 because each number can be easily divided by 4. Each number is also a multiple of 4. So, when we are factoring, we will divide each number by 4 because 4 will be on the outside of the parentheses in the final answer.

4(8z⁴ + 2z³ - z²)

So, this is your factored expression from the given equation.

What are the coordinates of the vertices of the polygon in the graph that are in Quadrant II? A) (4,–2) B) (4,3), (0,5), (0,1) C) (–5,2), (–3,2), (–3,4) D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)

Answers

Answer:

C) (–5,2), (–3,2), (–3,4)

Step-by-step explanation:

A) (4,–2)

B) (4,3), (0,5), (0,1)

C) (–5,2), (–3,2), (–3,4)

D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)

For quadrant two the points are always (-x,y) and x is always negative.

Image shows quadrant places.

C. ) (-5,3), (-3, 2), (-3, 4)

a grandfather purchased a brand new car in 1958 for ​$2500.the car depreciated ​$325 a year. what would the car be worth 4 years after it was​ bought?

Answers

Answer:

The car would be worth 1200.

Step-by-step explanation:

  Okay, the way to solve this type of question is quite simple,

you would start with the amount is lost per year being $325 a year, then multiply that by the 4 years grandpa waited and then subtract the overall amount lost in worth of the car from the original price and you got your answer.

The math: 2500-(325*4)=1200

The car would be worth 1200 dollars


so basically, we have $325 depreciated per year. We have 4 years of that, which means $325 yearly x 4 years = 1300. So the car lost 1300 dollars in value meaning that the car is now worth 1200.

Hope this helped!

Help please all questions.

Answers

Answer:

A is A=25

B=10

B is 40

C is A=10

B=6.428

hope i helped you

sorry if it is incorrect

A:
Club A: 10
Club B: 25
B:
month 2
C:
Club A: 10
Club B: 5

An secondary school have 250 students 30% in the First grade secondary and 35% Second grade secondary.
how many students in the Third grade are there​

Answers

Answer:

Third grade secondary = 87 students

Step-by-step explanation:

First grade = 30/100 x 250 = 75 students

Second grade = 35/100 x 250 = 87.5 rounded off to 88 students. Because students can't be half thus can't be in decimal. So round off to the nearest whole number.

Third grade = 250 - 88 - 75 = 87 students

Answer:

third grade secondary = 87 students

Step-by-step explanation:

:T

write the slope- intercept form of the equation for the line

y=-8/7x-3/2

y=7/8x-3/2

y=-7/8x-3/2

y=-3/2x+7/8​

Answers

Answer: All options are in slope-intercept form

i hope this helps .

Step-by-step explanation:

1.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=-\frac{8}{7}x-\frac{3}{2}\\[/tex]

2.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=\frac{7}{8}x-\frac{3}{2}[/tex]

3.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{7}{8}x-\frac{3}{2}[/tex]

4.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{3}{2}x+\frac{7}{8}\\[/tex]

The slope is most likely the x

Find f-1.
f(x)=4 log2 (x – 7)

Answers

Answer:

f(1) = 10.33985 + 18.1294406 i

Step-by-step explanation:

f(1) = 4log2(1-7)

f(1) = 10.33985 + 18.1294406 i

f(1)= 10.33985+ 18.1294406
i think

In January 2008, the temperature in parts of Minnesota fell from 48 F degrees to -12 F degrees over a 24 hour period. What was the average temperature change per hour?

Answers

Answer:

The average temperature per hour:

-2.5 °F

Step-by-step explanation:

(-12-48) / 24 =  -60/24

-60/24 = -2.5

In average decrease:

2.5°F

per hour

Which fraction is equivalent to -0.12? A. -3/25 B. -7/50 C. 4/25 D. -6/25 Please show ALL work! <3

Answers

Answer:

[tex]\huge\boxed{-\frac{3}{25} }[/tex]

Step-by-step explanation:

-0.12 in fraction form can be written as:

=> - 12/100

=> - 6 / 50

=> - 3/25

Answer:

[tex]\large \boxed{\mathrm{A. \ -3/25}}[/tex]

Step-by-step explanation:

Convert the decimal to a fraction.

-(0.12) = -(12/100)

Simplify the fraction.

-(12/100) = -(6/50) = -(3/25)

Richard bought a car for $2,500. The value of the car depreciates by 5% each year,
What is the average rate of change in the value of the car during the first 3 years?
Round your answer to the nearest dollar.
-$232
- $116
-$119
- $357

Answers

Step-by-step explanation:

Hello, there!!!

The answer is option D.

I have given solution on the picture.

Hope it helps.....

hello there the answer is d!!

A shop sells “Gello” pens and “Inko” pens. A “Gello” pen costs £5 and an “Inko” pen costs £7. One day the shop sold 17 pens and recieved £109. How many of each type of pen were solved? Form a pair of simultaneous equations to solve this question.

Answers

Answer:

5 Gello Pens and 12 Inko Pens.

12 Inko Pens adds up to 84.

5 Gello Pens adds up to 25.

84 + 25 = 109.

I hoped this helped :)

5 hello pens and 12 inko pens

Question 12 Multiple Choice Worth 1 points)
(06.01 MC)
20
20
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11. The probability of the arrow landing on a section colored blue is 6. Whan
the probability of the arrow landing on a green-colored section?
O
20
O
20
о
9
20
17
20

Answers

Complete question:

A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

Answer: 3/20

Step-by-step explanation:

From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)

Given that:

P(arrow landing on red) = 11 / 20

P(arrow landing on blue) = 6/20

The probability of arrow landing on green is therefore :

Sum of the probabilities of red and blue :

P(arrow landing on red) + P(arrow landing on blue)

= (11/20 + 6/20) = 17/20

Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.

Then:

P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1

Hence,

P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]

P(arrow landing on green) = 1 - [11/20 + 6/20]

P(arrow landing on green) = 1 - 17/20

P(arrow landing on green) = 3/20

3/20

God bless u. Sorry if I’m wrong and I tried
My best

If 0≤β<2π, find all values of β that satisfy the equation cos(2β)=√3/2

Answers

Answer:

π/12 rad and  23π/12 rad

Step-by-step explanation:

Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.

[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]

Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]

Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°

Converting to radians;

180° = πrad

15° = 15π/180 rad

15° = π/12 rad

345° = 345π/180

345° = 23π/12 rad

The values in radians are  π/12 rad and  23π/12 rad

He’s right^ the dude above me has the right answer

Which function's graph has asymptotes located at the values x= ±nπ?

1-Y=csc x
2-Y=cos x
3-Y=tan x
4-Y=cot x

Answers

Answer:

[tex]y=csc(\theta)[/tex]

[tex]y=cot(\theta)[/tex]

Step-by-step explanation:

I will just change

[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]

For

[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]

Also, note that sine and cosine function don't have asymptotes.

The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]

It happens because the cosecant function is undefined for those values.

The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].

On the other hand, the vertical asymptotes of tangent function occur at:  

[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]

It happens because the tangent function is undefined for those values.

Answer:

It's y = csc x and y = cot x.

Step-by-step explanation:



write the slope- intercept form of the equation for the line.

Y=2x-1

Y=1/2x-1

y=-2x-1

y=1/2x+1​

Answers

Answer:

The answer will be y=2x-1

Step-by-step explanation:

With the graph we are able to use the formula rise/run, which means we count down from the top point, and then over, and then divide.

Going down is 4 points, and over is 2.

4/2 is 2.

This leaves us with two answers. With this information, we look at the direction the graph is going, it is going upwards, making it positive. Which means that your answer is the first one. Plus the line goes through -1.

Thank you, if you need any more help let me know.

Y=2x-1
That was on my test

NEED ANSWER FAST....FIRST ANSWER WILL BE BRAINLIST!!!!
For which data set would the mean absolute deviation be a good indicator of variation of the data?

Answers

Answer:

Bottom right.

Step-by-step explanation:

The bottom right stem-and-leaf plot is the best data set because the data is unimodal and centered, so the mean absolute deviation will be the smallest. To verify this algebraically, you can find the mean of the data set. Once you have done that, you can find the absolute value of the difference between each data value and the mean: |data value – mean|.

(NO TROLLS 3 TIMES THE CHARM) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.

Answers

Answer:

≈ 5.36

Step-by-step explanation:

If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.

If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.

[tex]20-9.28=10.72\\10.72\div2=5.36[/tex]

However, I'm not 100% sure about this answer.

Hope this helped (and I hope I'm right)

Answer:

5.3589 or 5.36

Step-by-step explanation:

tan (15) = x / 20

x = 40 - 34.64

x = 5.36

Please Help Will Mark as Brainlist

Answers

Answer:

Hey there!

We can write this equation: 2x+4x=180

6x=180

x=30

Hope this helps :)

The two angles are supplementary angles. When added together they equal 180 degrees.

2x + 4x = 180

Combine like terms:

6x = 180

Divide both sides by 6:

X = 180/6

X = 30

20x-4y=40
Find the slope of the linear equation

Answers

Answer:

the slope is 5

Step-by-step explanation:

Solve for y

20x -4y = 40

Subtract 20x from each side

20x-20x -4y = -20x +40

-4y = -20x+40

Divide each side by -4

-4y/-4 = -20x/-4 +40/-4

y = 5x -10

This is in slope intercept form  y = mx+b where m is the slope and b is the y intercept

The slope is 5

Solve for y:

20x - 4y = 40

Subtract 20x to both sides

-4y = 40 - 20x

Divide -4 to everything

y = -10 + 5x

Therefore, the slope is 5

Best of Luck!

help me plz i wnt help plz i want help

Answers

Answer:

C)28in

Step-by-step explanation:

To get the area of this face, we will divide it into 3 sections.

Area of the 1st section:

Given:

l=4in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in^2

Area of the 2nd section:

Given:

l=2in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=2in*2in

a=4in^2

Area of the 3rd section:

l=8in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in*2in

a=16in^2

a1+a2+a3=Area of the face

8in^2+4in^2+16in^2=28in^2

Hope this helps ;) ❤❤❤

The answer is c, 28 in. I hope this helps

1. What is the ratio of the sides? 2. Using Complete sentences, explain how you could verify that these two triangles are indeed similar.

Answers

Answer:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

Step-by-step explanation:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?

Answers

Answer:

[tex]f(t)=20000(0.85)^t[/tex]

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

[tex]f(t)=P(r)^t[/tex]

Where P is the initial value, r is the rate of decay, and t is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

[tex]f(t)=20000(0.85)^t[/tex]

ANSWER(20000)........

{(-2,8),(4,6),(10,4)} Which point, when added to the set, would form a relation that is not a function?

Answers

Answer:

Point : ( -2, 15 )

Step-by-step explanation:

A point that would make this relation not a function would be one that shares a common x - value with the other points. One common domain values for two range values would, when graphed, not follow the vertical test, hence making the relation not a function.

Let's say that the point is ( -2, 15 ). It has a common x - value with respect to the first point, ( -2, 8 ), and therefore would make this set not a function.

Answer:

Point : ( -2, 15 )

Step-by-step explanation:

The area of a rectangular field is 6052 m².
If the width of the field is 68 m, what is its length?

Answers

Answer:

length = 89 m

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 6052 m²

width = 68 m

To find the length substitute the values into the above formula

6052 = 68l

Divide both sides by 68

We have the final answer as

length = 89 m

Hope this helps you

area: 6052
w: 68
l: x
l•w= area
6052/68=89
ANSWER: 89

How is 200,000 + 7,000 +500 + 3 written in standard form?

Answers

Answer:

207,503

Step-by-step explanation:

you just have to add the 4 numbers so you get 207,503

━━━━━━━☆☆━━━━━━━

▹ Answer

207,503

▹ Step-by-Step Explanation

200,000 + 7,000 + 500 + 3

= 207,503

Hope this helps!

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