8x - 3(x - 1) = 2x + 6 solve for x and show work

Answers

Answer 1

Answer:

x= 1

Step-by-step explanation:

open brackets first

8x - 3x + 3 = 2x + 6

Calculate

5x+3= 2x+6

transpose the like terms

5x-2x= 6-3

calculate

3x= 3

x= 3/3

x= 1

Answer 2

Answer:

x = 3

Step-by-step explanation:

8x - 3(x - 1) = 2x + 6

simplify

8x - 3x + 3 = 2x + 6

add like terms

5x + 3 = 2x + 6

subtract 2x from both sides

3x + 3 = 6

subtract 3 from both sides

3x = 3

divide by 3

x = 3


Related Questions

Devon wants to build a rope bridge between his treehouse and Cheng's treehouse.
Suppose Devon's treehouse is directly behind Cheng's treehouse. At a distance of 20
meters to the left of Devon's treehouse, an angle of 52° is measured between the two
treehouses. Find the length of the rope.
A. 36.7
B. 4.2
C. 16.9
D. 25.6

Answers

I think the answer would be D. 25.6

Pumpkin pie is on sale for $12.50. How much will it cost to buy enough to feed 20 people? Please help me!

Answers

Answer:

$37.05

Step-by-step explanation:

thats what i got so it might not be right

HELP ASAP PLEASE WILL MARK BRAINIEST

Answers

Answer:

40

Step-by-step explanation:

The area of on field is 16 acres, the area of the second field is 1 1/4 times bigger. A barn of wheat on the first field makes up 37 1/2 thousands pounds per acre, and on the second 1 2/15 as much per acre, how much more was gathered on the second field than the first?

Answers

Answer:

250 thousand pounds

Step-by-step explanation:

Given that:

Area of field 1 = 16 acres

Area of field 2 = 1 1/4 bigger than field 1

Barn of wheat on field 1 = 37 1/2 thousands pounds per acre

Barn of wheat on second field = 1 2/15 as much as field one per acre

Total pounds gathered on field 1 :

37 1/2 * 16 = 600 thousand pounds

Area of second field :

1 1/4 * 16 = 5/4 * 16 = 20 acres

Barn of wheat per acre = 1 2/15 * 37 1/2

= 17/ 15 * 75/2 = 42 1/2 thousand pounds per acre

Total = 42 1/2 * 20 = 850 thousand pounds.

850 - 600 = 250 thousand pounds

pls help will give brianly for help Find the quotient:

–20 ÷ 5

Answers

Answer:

The answer is -4 :)

Step-by-step explanation:

Answer:

-20 divided by 5 = -4

Step-by-step explanation:

PLEASE HELP I AM TIMED!

Answers

Answer:

i believe it would be 45 is greater than or equal to 3x + (3x-1) + [(3x-1)-4]

I hope you pass. Plz correct me If I am wrong

Step-by-step explanation:

Select the correct answer.
Which statement is false?

A.
The inequality sign always opens up to the larger number.
B.
The greater number in an inequality is always above the other number on the vertical number line.
C.
The smaller number in an inequality is always located to the left of the other number on the horizontal number line.
D.
The inequality sign always opens up to the smaller number

Answers

C The smaller the number in an inequality is always located to the left of the number on the horizontal line!!

Answer:

I think it might be C or B

Step-by-step explanation:

Hope this helped have a nice day :)

Solve the compound inequality. 3x − 4 > 5 or 1 − 2x ≥ 7 A. x ≤ −3 or x > 3 B. x −3 or x ≤ 3

Answers

Answer: B

Step-by-step explanation:

Answer i guess its b then

Step-by-step explanation:

If a 90°degree angle is bisected, the two angles created by the bisector will equal?

Answers

Answer:

45 degrees

Step-by-step explanation:

when an angle is bisected both angles formed are equal, so 90/2=45

yes, if it says it’s bisected it means the angle will be divided into half.

45 POINTS IF YOU STEAL POINTS IM REPORTING YOU I NEED THE ANSWER
Caisha has a circular garden with a radius of 4 ft. She needs to put a layer of soil on top. Each bag of soil covers 9.42 square feet. How many bags of soil will she need to buy? 5 bag 6 bags 7 bags 8 bags

Answers

Answer:

5

Step-by-step explanation:

A = 50.2654825

idk it could be 6

Somebody please help not that much time left

Answers

-i hope this helps buddy
-i i think took me a while but i hope it helps

PLEASE HELP ME ANSWER THESE 2 QUESTIONS PLEASE PLEASE PLEASE ASAP

Answers

Answer:l

Step-by-step explanation:

Rita is hiking along a trail that is 13.7 miles long. So far she has hiked ond tenth of the trail.
How far has rita hiked

Answers

Answer: 1.37 miles

Step-by-step explanation:

13.7=100%

13.7/10=1.37=10%=1/10

Grant saved $1,325 to purchase a lawn tractor that costs $1,600. Last month the tractor was on sale for 20% off. Grant did not buy the tractor last month because he spent $360 to go bungee jumping. Decide if the decision is financially responsible.

Answers

Answer:

No, he is not financially responsible

Step-by-step explanation:

Given that:

Amount saved for tractor purchase = $1325

Original cost of tractor = $1600

Amount spent on bungee jumping = $360

Discounted price of tractor :

$1600 - (1600 * 0.2) = $1280

Saved amount left after bungee jumping :

$1325 - $360 = $965

The saved amount had exceeded the discounted price, hence, the discount served as an opportunity to make the purchase, However, spending $360 from the saved amount meant that the amount left could not afford the tractor despite the discount. Hence, Missing out on such opportunity due to jumping shows lack of financial responsibility.

Leon receives a birthday gift of $50 from his parents. Each week he saves $5.00. How many weeks will it take for him to save $120? Select and equation from below that will help him determine how much he needs to save every week to save $120.00.

A) 5x + 50= 120.00
B) 50x +5.00 = 120
C) 120x + 50= 1200.00
D) 5x + 120.00= 50.00

Answers

Answer:

14 weeks. the equation would be a.

Step-by-step explanation:

120-50=70   70/5=14 it will take him 14 weeks to get 120 if he saves 5 a week on top of the additional 50 he already has.

Answer:

14 weeks

Step-by-step explanation:

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.

Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.

A.
(2.5, 15)

B.
(5, 20)

C.
(7.5, 12.5)

D.
(17.5, 5)

E.
(19, 1)

Answers

Answer:

A,B and C

Step-by-step explanation:

1. 3(6a); for a=3
2. 5d(4); for d=-2​

Answers

Answer:

Step-by-step explanation:

1. Solution for 3(6a)a=3 equation:

Simplifying

3(6a) * a = 3

Remove parenthesis around (6a)

3 * 6a * a = 3

Multiply 3 * 6

18a * a = 3

Multiply a * a

18a2 = 3

Solving

18a2 = 3

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Divide each side by '18'.

a2 = 0.1666666667

Simplifying

a2 = 0.1666666667

Take the square root of each side:

a = {-0.408248291, 0.408248291}

2.Solution for 5d(4)d=-2 equation:

Simplifying

5d(4) * d = -2

Reorder the terms for easier multiplication:

5 * 4d * d = -2

Multiply 5 * 4

20d * d = -2

Multiply d * d

20d2 = -2

Solving

20d2 = -2

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Divide each side by '20'.

d2 = -0.1

Simplifying

d2 = -0.1

Reorder the terms:

0.1 + d2 = -0.1 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0

0.1 + d2 = 0.0

how do solve slope and for the y axis?

Answers

Answer:

Slope = rise/run or y2-y1/x2-x1 (change in y over change in x)

Y-intercept (I'm assuming you mean y-intercept instead of y axis) = if there's a graph, find where the line intersects the y axis, if there isn't a graph, use y=mx+b to solve for b, the y-intercept.

Hope this helps!

slope the the rise over the run and slope is where the slope hits the y axis

Find the slope of the line that passes through (7,2) and (3,3)​

Answers

Answer:

1 over 4

Step-by-step explanation:

Answer:

the answer is [tex]\frac{1}{-4\\}[/tex]

Step-by-step explanation:

slope= [tex]y_{2}[/tex]-[tex]y_{1}[/tex]

           [tex]x_{2}[/tex]-[tex]x_{1}[/tex]   so 3-2=1 and then 3-7=-4

PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
figure out the miles per hour (mph)
1. what is the mph if the time is 1 hour 42 min and the distance is 935 miles?
2. what is the mph if the time is 36 min and the distance is 330 miles?

Answers

Answer:6.67 for number 1

Step-by-step explanation:

Answer:

Answer 1 is 550

and 2 is also 550

Step-by-step explanation:

Helpppp with this plssss

Answers

Answer:

26.411

Step-by-step explanation:

In 3a+bc-c you have to substitute

a=8.6, b=2.3, c=0.47

3*8.6 + 2.3*0.47 - 0.47 first do the multiplication then addition and subtraction

25.8 + 1.081 - 0.47=

26.411

What is an equation of the line that passes through the points (-4, -1)and (3, -8)
Put your answer in fully reduced form.

Answers

I'm pretty sure the answer is 0 because (-4,1) - (3,-8) gets you 0

idk men PLEASE HELP!

Mr. Villamayor rented a construction crane for five hours and a backhoe for seven hours. The total amount he paid is less than Php 9,000. Suppose the hourly rate for the crane is Php 800. What is the maximum amount he paid for the backhoe to the nearest hundreds?​

Answers

Answer:

Let 7x be the rent paid for backhoe for seven hours.

Step-by-step explanation:

Keyword: maximum amount, the most

    Inequality symbol:  ≤

     (800 × 5) + 7x ≤ 9,000

     4,000 + 7x ≤ 9,000

     7x ≤ 9,000 - 4,000

     7x ≤ 5,000

     7x ÷ 7  ≤  5,000 ÷ 7

     x ≤ 714.29

To the nearest hundreds:

     x ≤ 700

ANSWER:  The maximum rental fee per hour  of backhoe is Php 700.00 (rounded off to the nearest hundreds).

To check if he paid less than 9,000 for the total rent:

    (800 × 5) + (700 × 7) < 9,000

    4,000 + 4,900 < 9,000

    8,900 < 9,000    (True)

Use the following pattern to answer the questions.

24.3, 24, 23.7, 23.4, _____, _____



Part A
What is the rule for the pattern?

A.
Add 0.3 to each term.

B.
Subtract 0.3 from each term.

C.
Add 0.03 to each term.

D.
Subtract 0.03 from each term.

Part B
Complete the next two terms in the pattern.

24.3, 24, 23.7, 23.4,
Choose...
,
Choose...

Answers

The answer to Part A is subtract 0.3 from each term, and the answer to Part B is 23.1 and 22.8.

The ratio of apples to oranges is 3 to 9. What is the percent of the oranges?

Answers

Answer:

I think its 33.333333333333%

Step-by-step explanation:

In one month, a cell phone company charges $50 and additional $0.05 for each text message. The company charged Christian $80 for October. How many text messages did Christian send in October?

Answers

Answer:

He has 1000 text messages.

Step-by-step explanation:

50 for a month and 0.05 for every text message

0.05x100=5

0.05x1000=50

This does not make sense to me

Answers

to find area you have to multiply length x width. so to find your answer the equation should be 15/22 x 2/5

[tex]\frac{3}{11}[/tex]

Write the expanded form of the expression
-6.4(-n+2+4.9n)

Answers

Answer:

6.4n - 12.8 - 31.36n

Step-by-step explanation:

multiply each term by -6.4

Worth 25 points!
Simplify these equations with steps please.
√-48
√-63
√-72
√-24
√-84
√-99

Answers

Answer:

1) [tex]\sqrt{-48}=4\sqrt{3} \ i[/tex]

2) [tex]\sqrt{-63}=3\sqrt{7} \ i[/tex]

3) [tex]\sqrt{-72}=6\sqrt{2} \ i[/tex]

4) [tex]\sqrt{-24}=4\sqrt{6} \ i[/tex]

5) [tex]\sqrt{-84}=2\sqrt{21} \ i[/tex]

6) [tex]\sqrt{-99}=3\sqrt{11} \ i[/tex]

Step-by-step explanation:

We need to simply the following :

Note: For all questions given we know that [tex]\sqrt{-1}=i[/tex] using it in all the given questions.

1) [tex]\sqrt{-48}[/tex]

Factors of 48 are: 2x2x2x2x3

[tex]\sqrt{-48}\\=\sqrt{48}\sqrt{-1} \\=\sqrt{2\times2\times2\times2\times3}\ i\\= \sqrt{2^2\times2^2\times3}\ i\\=2\times2\sqrt{3} \ i \\=4\sqrt{3} \ i[/tex]

2) [tex]\sqrt{-63}[/tex]

Factors of 63 are: 3x3x7

[tex]\sqrt{-63}\\=\sqrt{63}\sqrt{-1} \\=\sqrt{3\times3\times7}\ i\\= \sqrt{3^2\times7}\ i\\=3\sqrt{7} \ i[/tex]

3) [tex]\sqrt{-72}[/tex]

Factors of 72 are: 2x2x2x3x3

[tex]\sqrt{-72}\\=\sqrt{72}\sqrt{-1} \\=\sqrt{2\times2\times2\times3\times3}\ i\\= \sqrt{2^2\times3^2\times2}\ i\\=2\times3\sqrt{2} \ i \\=6\sqrt{2} \ i[/tex]

4) [tex]\sqrt{-24}[/tex]

Factors of 24 are: 2x2x2x3

[tex]\sqrt{-24}\\=\sqrt{24}\sqrt{-1} \\=\sqrt{2\times2\times2\times3}\ i\\= \sqrt{2^2\times2\times3}\ i\\=2\sqrt{2\times3} \ i \\=2\sqrt{6} \ i[/tex]

5) [tex]\sqrt{-84}[/tex]

Factors of 84 are: 2x2x3x7

[tex]\sqrt{-84}\\=\sqrt{84}\sqrt{-1} \\=\sqrt{2\times2\times3\times7}\ i\\= \sqrt{2^2\times3\times7}\ i\\=2\sqrt{21} \ i[/tex]

6) [tex]\sqrt{-99}\\[/tex]

Prime factors of 99 are: 3x3x11

[tex]\sqrt{-99}\\=\sqrt{99}\sqrt{-1} \\=\sqrt{3\times3\times11}\ i\\= \sqrt{3^2\times11}\ i\\=3\sqrt{11} \ i \\=3\sqrt{11} \ i[/tex]

Triangle QRS is transformed as shown on the graph. Which rule describes the transformation?​

Answers

Answer:

270°

Step-by-step explanation:

(x , y) --> (y, -x)

90° clockwise rotation

270° anti-clockwise rotation

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