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

please help I don't understand​

Answers

Answer:

104 m^2

Step-by-step explanation:

First find the area of the rectangle.

A = 10 * 8 = 80 m^2

Then find the area of the triangle

A = 1/2 bh = 1/2 (8) *6 = 24 m^2

Add the areas together

80+24 = 104 m^2

Emily makes 75 pins to sell at the school craft fair. She has two designs: a star and
a bumblebee. She makes 2 star pins for every 3 bumblebee pins. How many pins
of each type does Emily make? Show your work.

Answers

Answer:

45 bumblebee, 30 star.

Step-by-step explanation:

2:3 = 5

75/5 = 15

15 X 2= 30

15 X 3= 45

What is the graph of y=3/4x-1?​

Answers

Answer:

Here is a screenshot of my graph.

Step-by-step explanation:

Write a story that could represent this math problem. 70 points

Answers

I have 5 bags of Totino Pizza Rolls. There are 3 pieces per bag. 1/3 of each bag is burnt.

Answer:

2/3+2/3+2/3+2/3+2/3

Step-by-step explanation:

Solve this system of equations using the Substitution method.

3x + y = -2

y = 2x + 3

Answers

Answer:

Step-by-step explanation:

we see that y = -3x-3

substitute that into the other equation to get

-3x-3 = 2x+7

-5x = 10

x = -2

so, y = -3(-2)-3 = 3

check to make sure (-2,3) solves both equations.

NEED HELP ASAP PLS
Rearrange the equation, make the graph table, graph
y -3x=0

Answers

y=3x
******************
y=3x that’s the answer

PLEASE HELP ONLY ANSWER IF YOU KNOW ITS CORRECT​

Answers

Answer:

D

Step-by-step explanation:

lx+2l+7>10 /-7

lx+2l>3

if x >0, x+2>3 /-2, x>1

if x <0, x+2<-3 /-2, x<-5

answer this as quick as possible

Answers

Step-by-step explanation:

For #1, if it says + you add the number of hours. Ex: Time in UTC 0 is 12:00, time in +3 is then 15:00 (3pm).

The same vice versa. Ex: Time in UTC 0 is 16:00 (4pm), in -2 it will be 14:00 (2pm).

For #2, +4 will be Friday at 22:00 (10pm) and for +7 it will be Saturday 1:00 (1am) etc.

Same for the - but it goes backwards

Hope that helps

Find the slope of the line that passes through (-39, -32) and (-40, 41). Simplify your answer and write it as a proper fraction, improper fraction, or integer.​

Answers

Answer: The answer is that the slope is 9.

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

1 inch : 50 miles

Step-by-step explanation:

550 miles / 11 inches = 50miles/inch

Every inch on the map represents 50 miles.

550 miles. Explanation First, we know that each 1,4 (quarter) of an inch
equals 50 miles, and we know that four 1.4s
equals one. so, using that information, we have
23/4. so the 2 has 8 quarters, and then we have
3 quarters left. so we add the 8 quarter's and
the 3 quarter's, to get 11. and since each quarter
is equal to 50 miles, we multiply 50 by 11.

common factor of 36 and 48

Answers

Answer:

12

Step-by-step explanation:

What is the degree of polynomial?
With example!​

Answers

Answer:

[tex]\boxed{\mathfrak{Question ~}}[/tex]

What is the degree of polynomial?

[tex]\large\boxed{\mathfrak{Answer}}[/tex]

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Example:

[tex] {6x}^{4} + {2x}^{3} + 3[/tex]

4x The Degree is 1 (a variable without an

exponent actually has an exponent of 1)

More Examples:

4x^ − x + 3 The Degree is 3 (largest exponent of x)

x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)

z^2 − z + 3 The Degree is 2 (largest exponent of z)

A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.

3 is a polynomial of degree 0.

Answer:

The degree of a monomial is the sum of the exponents of all its variables.

Example 1:

The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .

Example 2:

The degree of the monomial 7x is 11 (since the power of x is 11 ).

Example 3:

The degree of the monomial 66 is 0 (constants have degree 0 ).

The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)


A worker's wages w, are a function of the number of hours h worked at a rate of $10 per hour.

Answers

Answer:

w+h+10=10wh

Step-by-step explanation:

Question locate in image show working

Answers

If you divide that the answer would be 0.064

????????????????????​

Answers

Answer:

I would use distributive property

Step-by-step explanation:

It’s B if I’m not mistaken

Bro these admin people!! Lol

Answers

Answer:

U should

No u must keep swearing on them lolllll

Step-by-step explanation:

Omg seems kokuladina freeze on fire with swear words.

At which x-value does the cosine function attain a maximum value?.

Answers

Answer:

cos(x) = ???

so the maximum cosine can be is 1 and that happens when x = 0

I'm pretty sure that's what you meant...

The value of x where the cosine function attains a maximum value is 0.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Cosine function.

The value of cos 90° is 0.

The value of cos 0° is 1.

The value of cos 30° is √3/2.

The value of cos 60° is 1/2.

We see that the cosine function has the maximum value at zero degrees.

Thus,

Cos x has the maximum value at x = 0.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ5

can someone help me please?

Answers

Answer:

1) x = 3, y = 2 or (3, 2)

2) x = 0, y = 2 or (0, 2)

6) x = 3, y = – 4 or (3, – 4)

Step-by-step explanation:

I will only provide solutions for questions 1, 3, and 6 in accordance with Brainly's guidelines.

Question 1:  

[tex]\displaystyle\mathsf{\left \{ {{\:\:Equation\:1:\:y\:=\:-2x\:+\:5} \atop{Equation\:2:\:y\:=\:-x\:+\:2}} \right. }[/tex]  

Substitute the value of y in equation 2 into the first equation:

y = -2x + 5

-x + 2 = -2x + 5

Add 2x on both sides:

-x + 2x + 2 = -2x + 2x + 5

x + 2 = 5

Subtract 2 from both sides to isolate x:

x + 2 - 2 = 5 - 2

x = 3

Substitute the value of x into Equation 2 to solve for the value of y:

y = -x + 5

y = -(3) + 5

y = 2

Solution of the given systems of linear equations:

Therefore, the solution to the given systems of linear equations is: x = 3, y = 2 or (3, 2).

Question 3:

[tex]\displaystyle\mathsf{\left \{ {{Equation\:1:\:3x\:+\:5y=\:10} \atop{Equation\:2:\:y\:=\:-5x\:+\:2}} \right. }[/tex]

Substitute the value of y from Equation 2 into Equation 1:

3x + 5y = 10

3x + 5(-5x + 2) = 10

Distribute 5 into the parenthesis:

3x + -25x + 10 = 10

Combine like terms:

-22x + 10 = 10

Subtract 10 from both sides:

-22x + 10 - 10 = 10 - 10

-22x = 0  

Divide both sides by -22 to solve for x:

[tex]\displaystyle\mathsf{\frac{-22x}{-22}\:=\:\frac{0}{-22}}[/tex]

x = 0

Substiute the value of x into Equation 2 to solve for y:

y = -5x + 2

y = -5(0) + 2

y = 2

Solution of the given systems of linear equations:

Therefore, the solution to the given systems of linear equations is: x = 0, y = 2 or (0, 2).

Question 6:

[tex]\displaystyle\mathsf{\left \{\quad\:Equation\:1:\:-2x+6y=\:-30} \atop{Equation\:2:\:y-2x=\:-10}} \right.}[/tex]

Add 2x to both sides of Equation 2 to isolate y:

y – 2x = –10

y – 2x + 2x = 2x – 10

y = 2x – 10

Substitute the value of y from the previous step into Equation 1:

– 2x + 6y =  – 30

– 2x + 6(2x – 10) =  – 30

Distribute 6 into the parenthesis:

– 2x + 12x  – 60 =  – 30

Combine like terms:

10x – 60 =  – 30

Add 60 to both sides:

10x – 60 + 60 =  – 30 + 60

10x = 30

[tex]\displaystyle\mathsf{\frac{10x}{10}\:=\:\frac{30}{10} }[/tex]

x = 3

Substitute the value of x into Equation 2 to solve for y:

y – 2x = –10

y – 2(3) = –10

y – 6 = –10

y – 6 + 6 = –10 + 6

y = – 4

Solution of the given systems of linear equations:

Therefore, the solution to the given systems of linear equations is: x = 3, y = – 4 or (3, – 4).

What is the value of log3 27?

Answers

Answer:

Logarithm base 3 of 27 is 3 .

Step-by-step explanation:

hope it helps

Answer:

3

Step-by-step explanation:

27 = 3 x 3 x 3 = 3³

log3 27

= log3 3³

= 3 log3 3

= 3 x 1

= 3

Note : -

Formulas : -

Logn n = 1

Logn n^n = n Logn n

The area of Chile is approximately 2*10^6 square kilometers the area Bosnia is approximately 9*10^4 square kilometers what is the area of the two countries

Answers

Answer:

2,090,000

Step-by-step explanation:

Area = Area of Chile + Area of Bosnia

Area of Chile = 2*1000000

Area of Bosnia = 9*10000

Area = 2,000,000 + 90,000

Area = 2,090,000

Answer:

Step-by-step explanation:

there total

= 2*[tex]10^{6}[/tex] + 9*[tex]10^{4}[/tex]

= 2*1,000,000 + 9*10,000

= 2,000,000 + 90,000

= 2,090,000

= 209*[tex]10^{4}[/tex]

= 2,09*[tex]10^{6}[/tex]

2⎜x - 7/2⎟ + 3 > 4

Pls

Answers

Answer: x<3 or x>4

Step-by-step explanation: 2|x-7/2|+3+-3>4+-3         2|x-7/2|/2>1/2                                                                x+|−7/2|+7/2>1/2+7/2                                                 x>4                                                                             or                                                                              x+|−7/2|+7/2<−1/2+7/2                                                 x<3

                 

           

                   

Express 1 19/100 as a decimal

Answers

Answer:

1.19 if its not that its 0.19 but i believe its 1.19.

Step-by-step explanation:

Answer:  1.19 Is 1 19/100 as a decimal

Step-by-step explanation:

Select the correct answer.
Choose the name of the highlighted part of the figure.
O A.
vertex
B.
angle
Oc.
side
Plz help!!

Answers

The highlighted part of the triangle is an angle. It is on the inside of the triangle and formed by two sides coming together.

Hope this helps! :)

Answer:

Angle

Step-by-step explanation:

Vertices (plural for vertex) are basically the points of the triangle.

Angles are the amount of space between two line segments (typically measured in degrees)

Sides are line segments of a shape.

Therefore, B is right.

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

I think the 3rd one

Step-by-step explanation:

Hope its right

Determine the amount of the ordinary annuity at the end of the given period. (Round your final answer to two decimal places.)

$200 deposited quarterly at 6.9 for 6 years

Dont need steps…just the answer

Answers

Answer: $301.51 [recheck the answer]

Step-by-step explanation:

y = a(1+r/n)^nt

y = 200(1+0.069/4)^4*6

y = 301.505

the answer is 301.51

May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?

Answers

Answer: 1 group 65 bananas

Step-by-step explanation: We want the same number of bananas as oranges so 65 is divisible by 5 which is 13 5s to make 65.

is this correct ? if not what’s the correct answer?

Answers

Yes this is correct because that angle in is with the other angles to

Answer:

yes

option B

you're correct

Is 24 the correct LCD to use for subtracting 6 3/4 - 1 2/6 ? Why or why not?

In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example.

Subtract and reduce to lowest terms: 9/10 - 3/10.

PLEASE HELP ASAP

Answers

Answer:

Step-by-step explanation:

A

No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.

B

Factor each number into it's primes.

24 = 2*2*2*3

32 = 2*2*2*2*2

The highest common factor is 2*2*2 = 8

C

9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.

6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2

Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?

A.
$30
B.
$45
C.
$60
D.
$80

Answers

Answer:

Ti's C, $60

Step-by-step explanation:

30 = 50% ---> b/c 100% - 50% = 50%, and 30 is sum

So mutiply by 2, to get 100%

60 = 100%

60 is the price of the bag

PLEASE HELP Using the 2 points below, write the slope intercept form equation of the line.


(3,−1) and (0,3)

Answers

Answer:

  y = -4/3x +3

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -(-1))/(0 -3) = 4/-3 = -4/3

The y-intercept is the point for which x = 0. The given point (0, 3) tells us the y-intercept is b = 3.

The slope-intercept form equation is ...

  y = mx +b

  y = -4/3x +3

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