Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.

Answers

Answer 1

Answer:

  x = 274 91/107

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

  2.14x -12.18 +12.18 = 576 +12.18

  2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

  2.14x(1/2.14) = 588.18(1/2.14)

  x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

Answer 2

Answer:

x = 274 91/107

Step-by-step explanation:

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

 2.14x -12.18 +12.18 = 576 +12.18

 2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

 2.14x(1/2.14) = 588.18(1/2.14)

 x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.


Related Questions

An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores −1.75, −1, 4.25, 3.75, 1, −4.75, and 2. Find the mean score. Write your answer as a decimal.

Answers

Answer:

mean = 0.5

Step-by-step explanation:

The mean of a set of data is calculated as

mean = [tex]\frac{sum}{count}[/tex]

          = [tex]\frac{-1.75-1+4.25+3.75+1-4.75+2}{7}[/tex]

          = [tex]\frac{3.5}{7}[/tex]

          = 0.5

Jack was the science Museum in sabotage the recycling plant had an average speed of 26KM/H. Sometime later Aaliyah love traveling in the opposite direction with an average speed of 57KM/H. After Jack had traveled for four hours they were 332KM a part. How long did Aaliyah travel?

Answers

Off topic, I like your username :] good luck with whomever answers though <33

Which of the following is the correct ratio for Sine?​

Answers

Answer:

Sin = Opp/Hyp

Step-by-step explanation:

Answer:

opposite over hypotenuse

How much do you need to invest to earn 2000 dollars in interest at a rate of 7% over 15 years?

Answers

Answer:

i dont know

Step-by-step explanation:

What is the perimeter?

14 feet
12 feet
16 feet

Answers

Answer:

14 feet

Step-by-step explanation:

You find this answer by adding each side. The arrow tells us that each side of a square is 1 foot, so you add up the outer sides of each square

#7 What is f(4) if f(1) = 3.2 and f(x + 1) = 2.5f(x)?

Answers

Answer:  50

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

Explanation:

We're given f(1) = 3.2 which says the first term of the sequence is 3.2

To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...

f(x+1) = 2.5*f(x)

f(1+1) = 2.5*f(1)

f(2) = 2.5*f(1)

f(2) = 2.5*3.2

f(2) = 8

The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.

The third term is handled pretty much in a similar fashion

third term = 2.5*(second term)

third term = 2.5*8

third term = 20

Lastly, the fourth term f(4) is...

f(x+1) = 2.5*f(x)

f(3+1) = 2.5*f(3)

f(4) = 2.5*f(3)

f(4) = 2.5*20

f(4) = 50

The fourth term is 50.

The first four terms are: 3.2, 8, 20, 50

please help due soon

Answers

Answer:

Your answer is A. x=6

Step-by-step explanation:

plug in 6 for x and youll get your answer

Your answer is A

Just trust

please help me guys :) !

Answers

Answer:

{13, 9, 5, 1}

Step-by-step explanation:

Here the four inputs (x-values) are {1, 2, 3, 4}.  The corresponding y-values are calculated using the formula y = 17 - 4x, and are as follows:

x       y

1        17 - 4(1) = 13

2       17 - 4(2) = 9               In summary, the (vertical) 2nd column,

3        17 - 4(3) = 5               containing the y-values, is {13, 9, 5, 1}

4         17 - 4(4) = 1

17. Find the 15% commission on $400 in sales.
O $75
$60
O $40
O $15

Answers

60 bc 400 x .15 =60 hope this helps

Determine the period of the function y = -3cos(pi/5)x.

a. 3
b. 8
c. -3
d. 10

Answers

Answer:

Step-by-step explanation:

B

Answer:

10

Step-by-step explanation:

what is
[tex]f(x) = 2x - 3[/tex]
And
[tex]g(x) = 6 - x[/tex]

Answers

Answer:

Solution

Correct option is C)

(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

Using the picture below, which angle is alternate exterior to angle 2?

Answers

Answer:

alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal

The price of an item has been reduced by 45%. The original price was $43. What is the price of the item now?

Thank you!

Answers

the price now is $23.65, because 43x.45 = 19.35 so 43-19.35= 23.65

Answer:

23.65

Step-by-step explanation:

Triangle UVW is dilated by a scale factor of 3 to form triangle UVW. Side VW
measures 54. What is the measure of side VW?

Answers

Answer:

162

Step-by-step explanation:

In geometry, dialation is increasing the size of a shape on a plane. Since the porblem you have givine isn't requiring the triangle to be centered around a point, this is fairly easy. If you are increasing UVW by a scale factor of 3, you are multiplying each side by 3. So, if side VW is 54, after dilation VW' will have a length of 162. (54 × 3 = 162)

Hope that helped!

Help rn have to get this done send answers

Answers

Answer:

D) 3 units

Step-by-step explanation:

Hope this helps! Pls give brainliest!

a grandmother 2 mothers and 2 daughters went to the cafe. they ordered one cup of coffee each. what was the total number of cups they ordered.

Answers

Answer:

5 cups of coffee

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1 grandmother = 1 cups

2 mothers = 2 cups

2 daughters = 2 cups

2 + 2 + 1 = 5

What is the Answer to this

Answers

Answer:    18.8

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

Explanation:

For now, let's focus on triangle AFG.

This is a right triangle with the following sides:

FA = unknown horizontal leg = xFG = vertical leg = 6.1AG = hypotenuse = 11.2

We'll use the pythagorean theorem to solve for x.

a^2 + b^2 = c^2

(FA)^2 + (FG)^2 = (AG)^2

x^2 + (6.1)^2 = (11.2)^2

x^2 + 37.21 = 125.44

x^2 = 125.44 - 37.21

x^2 = 88.23

x = sqrt(88.23)

x = 9.39308 approximately

Side FA is roughly 9.39308 units long.

-----------

Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.

Put another way:

FG is a perpendicular bisector for AEDG is a perpendicular bisector for EC

Because of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.

We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.

Therefore,

AE = FA + FE

AE = 9.39308 + 9.39308

AE = 18.78616

AE = 18.8 when rounding to the nearest tenth, aka one decimal place.

Answer:

18.79

Step-by-step explanation:

→ Use Pythagoras theorem

√11.2² - 6.1²

→ Simplify

9.39

→ Now double the answer

18.79

167<6+7(2+7r)
what is it please help

Answers

Answer:

3 < r

Step-by-step explanation:

167<6+7(2+7r)

distribute the 7 to the 2 and 7r

7 * 2 = 14 and 7 * 7r = 49r

167 < 6 + 14 + 49r

combine like terms: 6 + 14 = 20

167  < 20 + 49r

subtract 20 from both sides

147 < 49r

divide both sides by 49

3 < r

Find the EXACT distance between the two points.

(5,−4) and (3,5)

Answers

Answer:

  √85

Step-by-step explanation:

The distance formula is used for this purpose.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((3 -5)² +(5 -(-4))²) = √((-2)² +9²) = √(4 +81)

  d = √85 . . . . the distance between the two points

5) So far you have a MP3 Player with 0.5 GB of music already stored on the MP3 player and know that each song is about 0.002 GB of memory. What are the possible numbers of additional songs that you can put on the MP3 player if it holds at most 2 GB?​

Answers

Answer: Any whole number between 0 and 750, including both endpoints.

One example could be 700 additional songs.

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

Explanation:

x = number of additional songs, some nonnegative whole number

1 song takes up 0.002 GB, so x of them take up 0.002x GB of memory.

Add on the 0.5 GB already used to get the expression 0.002x+0.5 to represent the total amount of storage taken up. We want this expression to be 2 or smaller.

[tex]0.002x + 0.5 \le 2\\\\0.002x \le 2-0.5\\\\0.002x \le 1.5\\\\x \le 1.5/0.002\\\\x \le 750\\\\[/tex]

This says the most songs we can add are 750.

Because x is the number of songs, it doesn't make sense to have x be negative. This means [tex]x \ge 0[/tex] or [tex]0 \le x[/tex] is the case as well.

Combining [tex]0 \le x[/tex] and [tex]x \le 750[/tex] produces the compound inequality [tex]0 \le x \le 750[/tex]

The number of additional songs is any whole number between 0 and 750, including both endpoints.

The roster notation of this set could look like this: {0, 1, 2, ..., 748,749,750}

The triple dots indicate "keep this pattern going". That way we don't have to fill in all 751 values which would be a tedious process.

So you can add on something like 700 songs because it's between those endpoints mentioned, but cannot add something like 800 songs.

Answer:

0 - 750 additional songs

Step-by-step explanation:

current: 0.5 mb

remaining: 2-0.5=1.5 mb

each song: 0.002 gb

take remainig amount of space: 1.5 mb and divide by how much space each song takes: 0.002 mb to find out how many songs can fit in 1.5 mb of space

work:

(total amount of storage-used amount of storage)/storage per song

(2.0-0.5)/0.002

= 1.5/0.002

= 750 songs

what are the possible number of additional songs?

anything up until 750.

15.

Write a direct variation equation if x = 7 and y = 42.

16.

Use the equation in example 15 to find x if y = 66.

Answers

Answer:

  15. y = 6x

  16. x = 11

Step-by-step explanation:

15. A direct variation equation is of the form ...

  y = kx

Solving for k, we find ...

  k = y/x = 42/7 = 6

The equation is y = 6x.

__

16. Filling in the given values, we have ...

  66 = 6x

  11 = x . . . . . . . divide by 6

help me please!!!!
please be quick!!

Answers

Answer:

40m^2 e

Step-by-step explanation:

The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?

Answers

Answer: The numbers are 71 and 15.

Explanation:
Let x = the first number
Let y = the second number

From what they give us, we know:
x - y = 56
5y = x + 4

Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.

5y = x + 4
5y - 4 = x or x = 5y - 4

x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15

To find the other variable (number), substitute that value in either equation.

x - y = 56
x - 15 = 56
x = 71

To check the solutions, substitute both variables into each equation to make sure they work.

x - y = 56
71 - 15 = 56
56 = 56

5y = x + 4
5*15 = 71 + 4
75 = 75

The probability for event A is 0. 3, the probability for event B is 0. 6, and the probability of events A or B is 0. 8. Why are the events not mutually exclusive?.

Answers

P(A and B) = P(A) + P(B) - P(A or B)

P(A and B) = 0.3 + 0.6 - 0.8

P(A and B) = 0.1

Because this result is nonzero, the two events A and B are not mutually exclusive. It is possible for the two events to happen at the same time.

Mutually exclusive events always have P(A and B) = 0, which means A and B cannot happen simultaneously.

The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.

Given that,

The probability for event A is 0.3, the probability for event B is 0.6,

and the probability of events A or B is 0.8.

We have to find,

Why are the events not mutually exclusive?

According to the question,

The probability for event A is 0.3, the probability for event B is 0.6,

and the probability of events A or B is 0.8.

P(A) = 0.3

P(B) = 0.8

and P(A∪B) = 0.8

When two events are said to be mutually exclusive when both the events cannot take place simultaneously.

Mutually exclusive events always undergo different outcomes.

These events are also known as disjoint events.

Mutually exclusive events prevent the second event to take place when the first event appears.

The probability of mutually exclusive events follows;

The probability of A and B together equals 0,

P(A and B) = 0

The probability of A or B equals the probability of A plus the probability of B,

P(A or B) = P(A) + P(B)

Therefore,

P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9

Here, 0.9 ≠ 0.8

Thus, the events are not mutually exclusive.

Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.

For more details about Probability refer to the link given below.

https://brainly.com/question/14071639

Say that Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually. If the Thai government wants to raise $70 billion in tax revenue, approximately where should it set the income tax rate? a. 5% b. 15% c. 23% d. 29%.

Answers

The income tax rate must be 29%.

Given that,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

If the Thai government wants to raise $70 billion in tax revenue,

We have to find,

The approximately where should it set the income tax rate?

According to the question,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

[tex]\rm Total \ income = Number \ of \ people \times Income \ per \ person\\\\Total \ income = 35,709,487 \times 8,630\\\\Total \ income = 308,172,872,810[/tex]

If the Thai government wants to raise $70 billion in tax revenue,

Then,

The income tax rate is,

[tex]\rm Tax\ rate = \dfrac{70,000,000,000,}{308,172,872,810}\\\\Tax \ rate = 0.29\\\\Tax \ rate = 29 \ percent[/tex]

Hence, The income tax rate must be 29%.

For more details refer to the link given below.

https://brainly.com/question/16016455

Answer:

c

Step-by-step explanation:

Trust me, I got 100%

please help i dont want to fail final exam
Determine the linear equation modeled by the graph.

Answers

Answer:

liner equation

Step-by-step explanation:

do nothing

Solve 2x^2 - x ≥ -5. Show your work.

Answers

Answer:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]

Step-by-step explanation:

Rewrite into standard form:

[tex]2x^{2} -x+5 \geq 0[/tex]

Complete the square:

[tex]2(x-\frac{1}{4} )^{2} + \frac{39}{8} \geq 0[/tex]

Subtract [tex]\frac{39}{8}[/tex] from both sides:

[tex]2(x-\frac{1}{4})^{2} \geq \frac{-39}{8}[/tex]

Divide both sides by 2:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{\frac{8}{2}}[/tex]

Simplify:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]

How much is the bill for a person who uses 600kWh in a month?

Answers

Answer:

the correct answer is $80

Step-by-step explanation:

your welcome(:

can I get the brainliest?(:

thank me if it was right for you too

A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?

B. In two or more complete sentences, justify your answer to A.

Answers

Answer:

Step-by-step explanation:

3(m-2)+2(m-2)

3m-6+2m-4

3m+2m-6-4

5m-6-4

5m-10

The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.

After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.

Find an equivalent ratio in simplest terms: 56 : 40

Answers

Answer:

7:5 is another ratio equivalent to 56:40

Step-by-step explanation:

56/8 = 7

40/8 = 5

Answer:

hope this helps

Step-by-step explanation: an equivalent ratio in simplest form would be 7:5

this is found by dividing 56 by 8 which is 7 and 40 dividd by 8 which is 5

7:5

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