Solve and check the linear equation.
3(x-2) + 8 = 2(x + 5)

Answers

Answer 1

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3(x - 2) + 8 = 2(x + 5)

Step 2: Solve for x

(Parenthesis) Distribute:                                                                               3x - 6 + 8 = 2x + 10Combine like terms:                                                                                     3x + 2 = 2x + 10{Subtraction Property of Equality] Subtract 2x on both sides:                    x + 2 = 10[Subtraction Property of Equality] Subtract 2 on both sides:                      x = 8

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                                                                                               3(8 - 2) + 8 = 2(8 + 5)(Parenthesis) Subtract/Add:                                                                         3(6) + 8 = 2(13)Multiply:                                                                                                         18 + 8 = 26Add:                                                                                                               26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.


Related Questions

Calculate the value of x

Answers

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

Tell me if you know

Answers

Answer:

Historians generally recognize three motives for European exploration and colonization in the New World: God, gold, and glory.

Ashlyn and her friends are making gingerbread houses. They need to divide 28 packages of gumdrops between 7 friends. There are 25 gumdrops in each package. How many gumdrops will each friend get?

Answers

Answer:

100 gumdrops per person

Step-by-step explanation:

We know that there are 28 packages and each one has 25.  So just multiply 28 by 25 and you get 700 gumdrops in total.  Finally because there are seven friends in total you divide 700 by 7 and get 100 per person.


Please help......................

Answers

18.9 or 18 9/10 or b or the second option.

Answer:

it's 18 9/10

Step-by-step explanation:

<) Madison is organizing a 10K race. She is ordering cases of bottled water for the runners.
Each case contains 20 bottles of water. Madison wants to know the number of bottles, b,
she will receive based on the number of cases she orders, c.
) The variable b is the
dependent
variable.
The variable c is the
independent
variable.
) Write an equation that gives the total number of bottles, b, when Madison orders c cases.
+
=)
C
b
20

Answers

Answer:

b= 20 • c

b is equalled to how many bottles, which c is equalled to how many cases, since there is no number for how many cases then is just the variable "c".

The equation representing the number of bottles is c = 20b

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, Madison ordered c cases of the bottle with each case having 20 bottles,

So, for c cases she will have 20b bottles.

The equation is :-

c = 20b

Here,

c is dependent variable

b is independent variable

Hence, the equation representing the number of bottles is c = 20b

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please help, I'll give the correct answer brainliest.

find c and d. show your work. ​

Answers

9514 1404 393

Answer:

  c = 6√2

  d = 12

Step-by-step explanation:

The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence c = 6√2.

The hypotenuse of an isosceles right triangle is √2 times the side length, so ...

  d = c√2 = (6√2)(√2) = 6·2

  d = 12

__

If you don't believe that, you can always use the Pythagorean theorem to find d:

  d^2 = (6√2)^2 +c^2

  d^2 = 72 +72 . . . . . . . . . since c=6√2

  d = √144

  d = 12

Karina plays a video game that is scored by round. In about 500 rounds, her career average is 20 points per
round with a standard deviation of 5 points per round. Suppose we take random samples of 3 past rounds and
calculate the mean number of points that she scored in each sample.
Calculate the mean and standard deviation of the sampling distribution of T.
You may round to one decimal place.

Answers

Answer:

20

2.9

Step-by-step explanation: khan

I WILL MARK BRAINLIEST


Linh has red, white, and black shirts. She has khaki, black, and white pants. She does not wear the same color shirt and pants together and does not wear white with black. Can she make 8 outfits?

a
Yes
b
No

Answers

Answer:

b) no

Step-by-step explanation:

let's put all these options in columns to visualize:

   shirts:                            pants:

    red                               khaki

    white                            black

    black                            white

now i'll list all the combos without matching colors (shirt, pants)

red, khaki;

red, black;

red, white;

white, khaki;

white, black;

white, white;

black, khaki;

black, black;

black, white;

now, we need to get rid of any combos that consist of the same color and combos that consist of black and white paired together.

and we're left with:

red, khaki;

red, black;

red, white;

white, khaki;

black, khaki;

that's only 5 options, so no, she cannot make 8 outfits

When the radius of a sphene is doubled what is the resulting change in volume?

Answers

Answer:

3rd power

Step-by-step explanation:

When the radius of the sphere was doubled it doubled 8 times . it raised so much because of the third power.

Glad I could help (Maybe)

An electronics retailer is developing a model for insurance on new cell phone purchases. It estimates that 60% of customers never make a claim25% require a small repair costing an average of $50and 15% require a full refund costing $200. What is the average cost the retailer should expect to pay to each customer?

Answers

Answer:

$42.50

Step-by-step explanation:

$42.50 will cover the costs of all people who request full refunds, while still allowing the company to profit.

The average cost the retailer should expect to pay to each customer if It estimates that 60% of customers never make a claim is $4250.

What is average?

The average is a numeric figure that represents a big amount of data in a single way. The average mark of the class is calculated by averaging the students' grades in a given subject.

It is more important to understand how the class as a whole performed than how each individual student performed.

Given:

It estimates that 60% of customers never make a claim, 25% require a small repair costing an average of $50 and 15% require a full refund costing $200,

Calculate the average cost as shown below,

Assume there are 100 customers, then,

The average cost = 25% of 100 × 50 + 15% of 100 × 200

The average cost = 25 × 50 + 15 × 200

The average cost = 1250 + 3000

The average cost = 4250

Thus, the average cost the retailer should expect to pay to each customer is $4250.

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HELP PLEASE ASAP !!!

Answers

Answer:  398765

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

Work Shown:

x = total number of copies sold so far

8.1% of x = 0.081*x = amount of copies sold in the first month

0.081*x = 32300

x = 32300/0.081

x = 398,765.432098766

x = 398,765

Rounding to the nearest whole number, about 398,765 copies have been sold so far to date.

Simplify completely*******​

Answers

Answer:

[tex]\displaystyle \frac{x - 12}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{2x - 24}{8}[/tex]

Step 2: Simplify

[Fraction - Numerator] Factor:                                                                       [tex]\displaystyle \frac{2(x - 12)}{8}[/tex][Fraction] Reduce:                                                                                         [tex]\displaystyle \frac{x - 12}{4}[/tex]

Step-by-step explanation:

[tex] \frac{2x - 24}{8} \\ = \frac{2(x - 12)}{8} \\ = \frac{x - 12}{4} [/tex]

is 1.150 and 1.15 the same? (ANSWER QUICKLY)

Answers

Yes because the 0 at the end is just a place holder basically so 1.150 and 1.15 are the same

Which inequality has an arrow pointing to the left when the solution set is graphed on a number line

Answers

Answer:wheres the pic

Step-by-step explanation:

No pic, no answer (sorry)

Answer:

Χ<5

Step-by-step explanation:

<__________________0__

-4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6

Sorry I can't put the circle and the arrow on the line. I hope you get the idea.

All the numbers to the left of +5 are included as numbers that x could be.

PLEASE HELPP!!

So frustrated does evaluate mean to find the value? So confused.

Answers

Answer:

yes it does

a. 27

b. -32

Step-by-step explanation:

a. 3 times 3 times 3 = 27

b. -2 times -2 times -2 times -2 times -2= -32

hope this helps!!

The second one equals -32

Researcher who want to study the effect of a treatment on a population select a random sample from the population and collect data. They organize their data into a frequency distribution then they use statistics to describe and simplify their data the next step is to use methods to make generalizations about the:_______

Answers

Answer:

"Population" is the correct response.

Step-by-step explanation:

Descriptive statistics are being utilized to analyze the information from a sample, utilizing observational methodologies, and the conclusions from statistical techniques were also universally applied again for the larger community. Researchers wishing to analyze the influence of therapies mostly on the community, then choose a group of individuals as well as gather information.

PLEASE HELP need quick answer

A new pair of JJ’s cost $104.99. You bought them on sale for $89.24. What percent off did you receive?

Answers

Answer:

Step-by-step explanation:

discount = 104.99 -  89.24 = 15.75

15.75/104.99 ≅ 0.15 = 15%

Which data set could be represented by the box plot shown below

Answers

Answer:

it will option C. hope it helps

Answer:

Option C is the right answer

MARKING PEOPLE AS BRAINLIST

Which Additional fact would prove that quadrilateral WXYZ is a parallelogram?

Answers

Answer:

A

Step-by-step explanation:

Elena needs 1/4 meter of ribbon to decorate the border of a photo frame.

Enter the number of photo frames that can be decorated using 3/4 meter of ribbon.

Answers

Answer:

3 photo frames

Step-by-step explanation:

1 frame uses 1/4 meters. You can solve this as a proportion. 1 is to 1/4 and x is to 3/4. 1/4 x 3 is 3/4. So multiply 3 x 1 as well. You get 3.

Hope it helps!

can someone help me on this ??

Answers

For the first one it is 1 whole

A horse can run at a top speed of 18 1/5 miles in 1/3 hour. What is the unit rate of the top running speed of a horse in miles per hour?​

Answers

Answer:

54.6

Step-by-step explanation:

(18⅕ miles)/(⅓ hour) = ((18⅕)×3 miles)/hour = 54.6 miles per hour

The unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.

What is the unit rate?

There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.

Speed can be calculated as the ratio of the distance traveled to the time taken by the object.

We have been given that horses can run at a top speed of 18⅕  miles in 1/3 hour.

Therefore, Distance = 18⅕ miles

Speed =  18⅕  miles in 1/3 hour.

Thus, we get;

Unit rate= (18⅕ miles) / (⅓ hour)

Unit rate = ((18⅕)×3 miles)/hour

Unit rate = 54.6 miles per hour

Therefore, the unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.

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What is the volume of this sphere?
Use a a 3.14 and round your answer to the nearest hundredth.
6 cm

Answers

Answer:

volume of sphere=4/3πr³=4/3×3.14×6²=164.16cm³

Stacy has $25 in her savings account.
To save more money, Stacy is selling
lemonade for $0.50. She wants to have
a minimum of $150 in her account.
Which inequality represents this
situation?

Answers

Answer:

The answer is 25+0.50x>150

Please help me with this, I have to turn it in today and I’ll give Brainly. please only answer if you know the answer...this is very important

Answers

The arcs on the Golden Gate Bridge.

I think about the Golden Gate Bridge, which is a suspension bridge.

As in any suspension bridge, a long cable is supported by two large supports.

The cable falls from support, in the form of a curve concave upwards, to a minimum point that is the vertex of the parabola, through which the axis of symmetry passes, and curves again upwards to ascend to the upper end of the other support.

As a unique feature of this parabolic arc, you can tell that the concavity is upward; the parabola opens upward.

Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.

The symmetry is clear because the curve to the left of the vertex is a mirror image of the curve to the right of the vertex. Hope I helped, have a good day!

What's slope Line
pass through( 14, 4)( 21, 6

Answers

What's slope Line
pass through( 14, 4)( 21, 6 Answer :m=2/7

MAY SOMEONE PLEASE HELP ITS URGENT!!

Answers

Answer:

both are 79

Step-by-step explanation:

what is the solution to the equation y=2x+5

Answers

Answer:

x = -5/2

Step-by-step explanation:

y= 0

I dont know but i believe this is it.

Answer:

2x-y=-5

Step-by-step explanation:

y=2x+5

-2x+y=5

-(-2x+y=5)

answer: 2x-y=-5

What single decimal multiplier would you use to increase by 5% followed by a 20% increase?

Answers

Answer:

The single decimal multiplier is 1.26.

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: [tex]\frac{100-a}{100}[/tex]

For a increase of a%, we multiply by: [tex]\frac{100+a}{100}[/tex]

For consecutive changes, we multiply the multipliers.

Increase of 5%

Multiply by [tex]\frac{100+5}{100} = \frac{105}{100} = 1.05[/tex]

Increase of 20%

Multiply by [tex]\frac{100+20}{100} = \frac{120}{100} = 1.2[/tex]

Consecutive:

1.05*1.2 = 1.26

The single decimal multiplier is 1.26.

Answer: 1.26

Step-by-step explanation:

look at the link below

it is helpful

Which of the following linear functions has the greatest rate of change?

Answers

Answer:

A

Step-by-step explanation:

A is the answer because its rate of change is 3 while the rest are smaller than that

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