What is this? Solve for x: 3(x + 1) = −2(x − 1) + 6.

Answers

Answer 1

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

STEP 1: Simplify 3(x+1).

[tex]3x+3=-2(x-1)+6[/tex]

STEP 2: Simplify −2(x−1)+6.

[tex]3x+3=-2x+8[/tex]

STEP 3: Move all terms containing x to the left side of the equation.

[tex]5x+3=8[/tex]

STEP 4: Move all terms not containing x to the right side of the equation.

[tex]5x=5[/tex]

STEP 5: Divide each term by 5 and simplify.

[tex]x=1[/tex]


Related Questions

On Monday there were 25 students that came to school, on Tuesday there was a 20% in
student attendance. How many students were in attendance on Tuesday?

Answers

Answer:

there are 20 students in attendance on tuesday

Step-by-step explanation:

20% of 25 is twenty

Convert: 200 fluid ounces = ? cups

Answers

Answer:

25

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

2 trifles cost £7
how much do 6 trifles cost

Answers

Answer:

23

Step-by-step explanation:

multiply the cost by 3

Answer:

£21

Step-by-step explanation:

Use ratios! Amount of trifle: Amount of money

2:7

*3 *3

6:21

£21

It is 185 miles to Fort Worth. If Vang drives 2 hours at 65 miles per hour, how far will he be from Fort Worth?
Multiply the number of hours times the number of miles per hour.
Then subtract the number of miles driven from the total number of miles.
Write and solve the arithmetic problem for the first step.

Answers

Answer:

130

Step-by-step explanation:

65x2=130

185-130=155'

hope this helps :)

brainliest plz

using the slope formula find the slope of the line that passes through these points (-2,4) and (4,-1)

Answers

Answer:

-5/6

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-1-4/4-(-2)

-5/6

Best of Luck!

Answer:

3/2 or 1.5 :) hope this helped

Step-by-step explanation:

4 - 1        3

-------  =  ---  =  1.5

4 - 2       2


Write an ordered pair for the point in Quadrant III that is 3 units away from point Q (1.5,
-1.5) on the coordinate plane.

Answers

Answer:

Its 1.66

Step-by-step explanation:

Dermot bakes 420 cakes.
He bakes only vanilla cakes, banana cakes and lemon cakes. 120 of the cakes are vanilla cakes.
35% of the cakes are banana cakes.
Work out the number of lemon cakes Dermot bakes. PLEASEE I NEED NOW

Answers

Answer:

Step-by-step explanation:

lemon cakes:105

420-120=300

35% of 300:

35 divided by 100*300=105

Number of lemon cakes Dermot bakes are 153.

What is percentage?

"A percentage is a ratio of a number to 100. The symbol % is used to indicate a percent."

According to the problem

Number of vanilla cakes = 120

Total number of cakes = 420

Banana cakes = 35 % (35 percentage) of total cakes

= 420 × 35%

= 420 × [tex]\frac{35}{100}[/tex]

= 147

So the lemon cakes are = Total cakes - banana cakes - vanilla cakes

= 420 - 147 - 120

= 153

Hence, number of lemon cakes Dermot bakes are 153.

Learn more about percentage here

https://brainly.com/question/1466006

#SPJ2

Help it’s 10 points whoever guesses is getting reported

Answers

The answer i got is c

Answer:

c

Step-by-step explanation:

III

because in (x,y) y is the second as you see

y is the vertical axis and x is the horizontal so IV is correct

1) Does the pair of ratios form a proportion? *
3 points

Yes
No

Answers

Answer:

Yes

Step-by-step explanation:

Divide 4/8 by 2 then you get 2/4 which is also 1/2

Answer:

YES bc there all possative and there even numbers!

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer!

Have a great day! :)

If you need help with anything HMU and i got you, no points included :)

Ashley and joe each improved their yards by planting hostas and ornamental grass. They bought their supplies from the same store. Ashley spent $152 on 12 hostas and 8 bunches of ornamental grass. Joe spent $66 on 6 hostas and 3 bunches of ornamental grass. Find the cost of one hosta and the cost of one bunch of ornamental grass.

Answers

Answer:

one hosta=$6

one ornamental grass=$10

Step-by-step explanation:

6 10?

6*6+3*10

36+30

66

12*6+8*10

72+80=152

Which is a possible combination of root types for a 7th degree polynomial?
Which is a possible combination of root types for a 7th degree polynomial?
6 rational roots, 1 irrational root
3 irrational roots, 4 complex roots
2 rational roots, 2 irrational roots, 3 complex roots
7 rational roots

Answers

Given:

Degree of a polynomial is 7.

To find:

The possible combination of root types for a 7th degree polynomial.

Solution:

We know that, by complex conjugate root theorem, is a complex number is a root of a polynomial, then its conjugate is also the root of that polynomial, it means number of complex roots always an even number.

Similarly,

Irrational roots are also occurs in pairs. If [tex]1+\sqrt{2}[/tex] is a root of polynomial, then its [tex]1-\sqrt{2}[/tex] is also the root of that polynomial, it means number of irrational roots always an even number.

In options A, B and C either complex or irrational roots are odd, which is not true.

Therefore, the correct option is D.

★PLSSSSS HELPPPPPPPPP★

Answers

9514 1404 393

Answer:

  (-2, 3)

Step-by-step explanation:

Of the choices offered, the only point that is on the line is (-2, 3).

Jackson has $25 in his lunch account at school. He spends $3 each day to eat in the cafeteria. What is Jackson's lunch account balance after two weeks of buying his lunch in the cafeteria?​

Answers

Answer:

$10 is in his account.

Step-by-step explanation:

goes to school 5 days a week$3 per day so 3x5subtract 15 from 25
THERE IS 10 in his account

whats the first step in evaluating this expression?

3 x [9 - (4+2) ÷ 2]

Answers

Answer:

Parenthesis

(18)

Explanation:

3 · [9 - (4+2) ÷ 2]

= (3)(9 + −3)

= (3)(9) + (3)(−3)

= 27 − 9

= 18

Deductive reasoning uses all of the following to draw logical conclusions except:

A.) Rules
B.) Laws
C.) Patterns
D.) Facts

Answers

Answer:

Laws

Step-by-step explanation:

It just is

Answer:

patterns

Step-by-step explanation:

Deductive reasoning is used to prove conjectures to be true.

Harriet had 6 pounds of nails that cost $35.34. If each pound of nails was the same price, how much was one pound of nails?

Answers

Answer:

The answer is $5.89

Here is a recipe for hot chocolate. The recipe makes 4 cups. You and 7 friends are going to enjoy some hot chocolate outside, socially distanced of course.

Answers

Answer:

The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.

Step-by-step explanation:

The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.

Which of the following inequalities are correct?
Some of the numbers involved are shown on the number line below.

Answers

Answer:

Only C is correct

Step-by-step explanation:

59 is bigger than -59 not smaller so A is incorrect

0 is smaller than 76 not bigger do B is also incorrect

-76 is smaller than -59 according to number line so option C is correct

Answer:

Only C is correct because -59 would be closer to the 0 that the - 76. So therefore -59 is bigger than -76.

Step-by-step explanation:

Hope I helped have an amazing day! If you have time pls mark  this as brainliest trying to get points!

The owner of a small store buys coats for $40.00 each .she sells the coats for $7200 each. What percent of the purchase price is the sale price?

Answers

.0056 because 1% is 72 so you know it’s going to have to be less then 72. So to get your percent you divide 40 by 7200 so 40/7200. This will get you .00555556 which I rounded to .0056

Which best describes the classification for the
following number set?
{-4 1/2, -1, 3/4, 3.5, 13, 24 5/8}
I. Rational numbers
II. Integers
III. Whole numbers
I only
l and I| only
| and Ill only
I, II, and I||

Answers

Answer:

I only

Step-by-step explanation:

All numbers are rational.

Not all numbers are whole or integers.

Answer: I only

Mrs. Lewis had $100 to purchase school supplies for her class. She bought 40 glue sticks and 40 boxes of crayons. Each glue stick cost $1.50, and each box of crayons cost $0.89. How much money did Mrs. Lewis have left after these purchases?

Answers

Answer:

the answer is she had $4.40 left.

Step-by-step explanation:

1) 40x1.50=60 2) 40x0.89= 35.6 3) 60+35.6= 95.6 4) 100- 95.6= $4.4 I hope this helps if not sorry. :)

2008, the price of a gallon of unleaded gasoline was $4.02. In 1990, it was only $1.37 per gallon. What is the increase expressed as a percent change? Round to the nearest percent.

Answers

Answer:

p

Step-by-step explanation:

p

Carol gets paid $10 per hour to work as a lifeguard this weekend she worked on both Saturday and Sunday she made a total of $80 girl worked for five hours on Saturday for how many hours did she work on Sunday

Answers

Answer:

3 hours

Step-by-step explanation:

Given

[tex]Earnings = \$10[/tex] per hour

[tex]Total\ Earnings = \$80[/tex]

Required

Determine the number of hours worked on Sunday

If she works for 5 hours on Saturday, then her Saturday earnings is:

[tex]Saturday\ Earnings= \$10 * 5[/tex]

[tex]Saturday\ Earnings= \$50[/tex]

Her earnings on Sunday is Total Earnings - Saturday Earnings. So, we have:

[tex]Sunday\ Earnings = Total\ Earnings - Saturday\ Earnings[/tex]

[tex]Sunday\ Earnings = \$80 - \$50[/tex]

[tex]Sunday\ Earnings = \$30[/tex]

Number of hours worked is calculated by dividing earnings by earnings per hour.

So:

[tex]Hours = \frac{\$30}{\$10}[/tex]

[tex]Hours = 3[/tex]

Hence, she worked for 3 hour

A group of friends were working on a student film. They spent all their budget on costumes and equipment. They spent $396 on costumes, and 45% of the total budget on equipment. What was the total budget for their student film?

Answers

Answer:

The total budget for their student film was $720.

Step-by-step explanation:

From the information given, you know that they spent all their budget on costumes and equipment and that they spent 45% of the total budget on equipment. From this, you could inferred that in order to find the percentage they spent on costumes you have to subtract 45% from 100% that would indicate the total amount spent:

100%-45%=55%

According to this, you know that they spent 55% of the total budget on costumes and the statement says that the amount was $396. With this information, you can use a rule of three to find the amount that represents 100%:

396 →  55%

 x    ← 100%

x=(396*100)/55=720

The answer is that the total budget for their student film was $720.

this is pretty hard ​

Answers

Answer:

yeah this is 8 units to the x axis, I hope I'm right! See ya! Any question or comments, pls tell me, thanks!

Step-by-step explanation:

Brainliest
Which inequality represents the following situation:


Hats are $16 each and Joe has no more than $80 to spend. How many hats can he purchase?

80x ≥ 16

80x ≤ 16

16x ≥ 80

16x ≤ 80

Answers

Answer:

16x <= 80

It's D

16x= 16$ for each hat

80= the most he can spend

In context: Each hat cost 16$ and the most he can spend is 80, nothing more than that.  

PLEASE HELP FAST!!!! I WILL MARK BRAINLIEST!!!!!!!!!!

Select all of the inequalities that have (-3,-1) as a solution.

Answers

Answer:

what inequalities? all I see is a black void

Step-by-step explanation:

Answer:

Step-by-step explanation:

can´t see the graph. its black

A cone with a radius of 12 units and a height of 6 units

Answers

What is your question??
i don’t know lol #aids #swag

Plz help
This is due tonight and I’m literally struggling to complete it all

Answers

Problem 10

Answer: 20 degrees

Explanation: Angle GBE = 20 is shown in the diagram which is adjacent to the angle we want. Recall that the incenter is found by constructing the angle bisectors of a triangle. The angle bisectors cut each angle in half. So angle ABG and angle GBE are the same measure.

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

Problem 11

Answer: 22 degrees

Explanation: We'll use similar reasoning as above to find that angle GCA is 11 degrees. So angle BCA = (angle BCG)+(angle GCA) = 11+11 = 22.

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

Problem 12

Answer: 118 degrees

Explanation: Make a copy of triangle ABC. Ignore the other line segments inside the triangle. We found so far that angle B = 20+20 = 40 degrees and angle C is 22 degrees. Solve A+B+C = 180 to get A = 118. This is the measure of angle BAC.

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

Problem 13

Answer: 59

Explanation: Cut the result of problem 12 in half. We're using the same idea as problem 1. Segment AG cuts angle BAC into two equal halves.

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

Problem 14

Answer: 4

Explanation: We can show that triangles GEB and GDB are congruent by the AAS congruence theorem. Note the two pairs of congruent angles, and the pair of congruent sides that are not between the angles. From there, we see the corresponding pieces GE and GD are the same length. The diagram shows GE = 4, so GD = 4 also.

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

Problem 15

Answer: 11

Explanation: Same idea as problem 14. This time we focus on the corresponding congruent parts BD and BE, which are both 11 units long.

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

Problem 16

Answer: sqrt(137)

Explanation: Focus on triangle GDB or triangle GEB (they're the same triangle, just one is a mirror reflection of the other). Use the pythagorean theorem with a = 4, b = 11 to find that c = sqrt(137)

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

Problem 17

Answer: 4*sqrt(26)

Explanation: We'll use a similar idea as problem 14. We can prove triangles GFC and GEC are congruent by AAS. Consequently, we know that FC = EC = 20. The diagram shows EG = 4. Focus on triangle GEC. Use the pythagorean theorem to find that GC = sqrt(416) = 4*sqrt(26)

Susan is 5.5 ft tall and casts a shadow that it is 4 ft long on the ground. She is walking through a park and finds the shadow of a sculpture is 16 ft long. How tall is the sculpture?

Answers

Answer:

22 ft

Step-by-step explanation:

Height of Susan/Length of shadow = Height of sculpture/Length of Shadow of sculpture

5.5 ft/4 ft = x/16ft

Cross Multiply

4 × x = 5.5 × 16

x = 5.5 × 16/4

x = 22 ft

The height of the sculpture is 22 ft

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