An equation is shown below:

8(2x − 14) + 13 = 4x − 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Explain the parts please and i will give brainliest the best best explained one.

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

8(2x − 14) + 13 = 4x − 27

solve everything in parentheses

16x - 112 + 13 = 4x - 27

subtract 4x from each side of the equation

16x - 4x - 112 + 13 = 4x - 27 - 4x

reduce

12x - 112 + 13 = -27

combine those known numbers

12x - 99 = -27

add 99 tooth sides of the equation

12x - 99 + 99 = -27 + 99

reduce

12x = 72

divide both sides by 12

12x / 12 = 72 / 12

reduce

x = 6


Related Questions

Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many miles did she drive altogether?

Answers

Answer: 18.15 miles

Step-by-step explanation:

The answer is 18.15 miles

Don’t understand how to do this can somebody explain and answer, need badly

Answers

Whenever we are looking for an angle we have to use inverse trig. In this case, we have an adjacent side and a hypotenuse. From SOHCAHTOA, this tells me we have to use inverse cosine.

invcos (12/31) = 67 degrees

Drag numbers to show which are closer to -3/5 and 4/5 on the number line.

Answers

Answer:

closest to -3/5 is -4/5. closest to 4/5 is 0.6

Step-by-step explanation:

Answer:

-4/5 in the first

.6 in the second

Step-by-step explanation:

it was correct

HELP FAST FAST FAST FASTT PLS<3

A model of the ocean floor takes up 2/5 of the space in an aquarium. If 3/8 of the model is coral, what fraction of the space in an aquarium is taken up by coral?

Answers

Answer:

Fraction = [tex]\dfrac{3}{20}[/tex]

Step-by-step explanation:

Given that,

A model of the ocean floor takes up 2/5 of the space in an aquarium.

3/8 of the model is coral.

We need to find the fraction of the space in an aquarium is taken up by coral. So, it can be done as follows :

[tex]x=\dfrac{3}{8}\times \dfrac{2}{5}\\\\x=\dfrac{3}{20}[/tex]

So, the fraction of space taken by coral is [tex]\dfrac{3}{20}[/tex] in an aquarium.

Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by - 7x + 2y = 14?

Answers

Answer:

18

Step-by-step explanation:

to be 18 7 bitween one is the complet the neme of soit and can be instracttion

Answer:

d

Step-by-step explanation:

y+5=-2/7(x-4)

What is the equation?

Answers

Answer:

y - 4 = (1/3)(x - 9)  or x - 3y = -3

Step-by-step explanation:

Here we're told that the slope is 1/3 and that (9, 4) is a point on the line.  Use the point-slope formula  y - k = m(x - h).  Substitute 4 for k, 9 for h and 1/3 for m:

y - 4 = (1/3)(x - 9)  (point-slope formula)

3y - 12 = x - 9  (standard form of the same equation) = >

     -12 + 9 = x - 3y, or x - 3y = -3 (standard form)

A restaurant gets extremely busy during lunch (11:00 A.M. to 2:00 P.M.) and is trying to decide whether it should increase the number of waitresses from two to three. What considerations would you look at to determine whether simulation should be used to make this decision?

Answers

Answer:

Step-by-step explanation:

The two main considerations that you should take into account would be each employee's wage and the number of tables that they can handle simultaneously and efficiently. This would allow you to create a simulation in order to determine if adding an extra waitress would be the best option. Adding an extra waitress would be a worthwhile decision if it divides the workload evenly so that all the waitresses have sufficient tables to handle while also not being too much, and if the extra labor is bringing in more money than it costs.

Three different accounts are described below. Order the accounts according to their values after 10 years, from greatest to least.

You deposit $950 in an account that earns 9% annual interest compounded daily.
= You deposit $1000 in an account that earns 8% annual interest compounded daily.
= You deposit $1000 in an account that earns 9% annual interest compounded semiannually.
= You deposit $1000 in an account that earns 10% simple interest.

Answers

Answer:

`1. You deposit $950 in an account that earns 9% annual interest compounded daily.

2.You deposit $1000 in an account that earns 8% annual interest compounded daily.

3. You deposit $1000 in an account that earns 9% annual interest compounded semiannually.

Step-by-step explanation:

Trick question, number 3 says semiannually so it is only twice a year, so it is the least. In math papa or any algebra calculator, put in the two equations and compare which is greater, in this case, y = 950(1.09)^10 is greater than y=1000(1.08)^10

Accounts according to their values after 10 years, from greatest to least. are Account 3, Account 1, Account 2 and Account 4.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The formula for daily compounding is:

[tex]A = P(1 + r/n)^{nt}[/tex]

where A is the future value,

P is the principal amount,

r is the annual interest rate,

n is the number of times the interest is compounded per year, and t is the time in years.

When we deposit $950 in an account that earns 9% annual interest compounded daily.

A = 950(1 + 0.09/365)³⁶⁵⁰

= $2,436.24

Deposit $1000 in an account that earns 8% annual interest compounded daily.

A = 1000(1 + 0.08/365)³⁶⁵⁰

= $2,223.97

Deposit $1000 in an account that earns 9% annual interest compounded semiannually.

A = 1000(1 + 0.09/2)²⁰

= $2,471.52

Deposit $1000 in an account that earns 10% simple interest.

The formula for simple interest is:

A = P(1 + rt)

where A is the future value, P is the principal amount, r is the annual interest rate, and t is the time in years.

Using this formula, we get:

A = 1000(1 + 0.10(10))

= $2,000

Now we can order the accounts from greatest to least based on their future values after 10 years:

Account 3: $2,471.52

Account 1: $2,436.24

Account 2: $2,223.97

Account 4: $2,000

Hence, accounts according to their values after 10 years, from greatest to least. are Account 3, Account 1, Account 2 and Account 4.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

NEED THIS ASAP Solve each inequality and graph its solution

Answers

Answer:

x>22

Step-by-step explanation:

hope this helps

A (3,2) y b (2,-1) pasa por los puntos

Answers

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

Answer:

In the images is the graph of the line that passes through points A (3,2) and B (2, -1)

Also the equation of the line is y = 3x-7

Use two different applications Geogebra and Desmos

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

Respuesta

En las imágenes está la gráfica de la recta que pasa por los puntos A(3,2) y B(2,-1)

Además, la ecuación de esa recta es y=3x-7

Use dos aplicaciones distintas Geogebra y Desmos

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

Please Help 15 points and brainliest for best answer thank you it's on the picture provided

Answers

Answer:

NO PICTURE

Step-by-step explanation:

When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is about 4.3 pounds per square inch (psi). a) Write the variation function. b) Predict the pressure at 50 feet. c) It is unsafe for amateur divers to swim where the pressure is more than 65 psi. How deep can an amateur swimmer safely swim (round to the nearest thousandth)

Answers

Answer:

(a) [tex]p = 0.43d[/tex]

(b) [tex]p = 21.5[/tex]

(c) [tex]d = 151.163[/tex]

Step-by-step explanation:

Given

Variation: Direct

Represent ear pressure with p and depth with d.

So, we have:

[tex]p\ \alpha\ d[/tex]

[tex]d =10[/tex] when [tex]p =4.3[/tex]

Solving (a): Write a variation

We have:

[tex]p\ \alpha\ d[/tex]

Write as an equation

[tex]p = kd[/tex]

Where: k is the constant of variation

[tex]d =10[/tex] when [tex]p =4.3[/tex]

So, we have:

[tex]4.3 = k * 10[/tex]

Make k the subject

[tex]k = \frac{4.3}{10}[/tex]

[tex]k = 0.43[/tex]

Substitute 0.43 for k in [tex]p = kd[/tex]

[tex]p = 0.43d[/tex]

Solving (b): Pressure at 50 feet

Substitute 50 for d in [tex]p = 0.43d[/tex]

[tex]p = 0.43 * 50[/tex]

[tex]p = 21.5[/tex]

The pressure is 21.5 pounds per square

Solving (c): The safe depth

The safe depth stops at a pressure of 65psi.

Substitute 65 for p in [tex]p = 0.43d[/tex]

[tex]65 = 0.43 * d[/tex]

Make d the subject

[tex]d = \frac{65}{0.43}[/tex]

[tex]d = 151.162790698[/tex]

[tex]d = 151.163[/tex] -- approximated

The safe distance for an amateur is 151.163ft

Oliver said, "To the nearest hundred, I’ve attended drama club for 900 days of my life!” Write three numbers that could be the actual number of days Oliver has attended drama club.

A. 743, 970, 933

B. 870, 933, 780,

C. 780, 849, 761,

D. 867, 870, 933

Answers

the answer is D dnsgkstbranat

ANSWER NEEDED QUICK, SHOW YOUR WORK PLEASE)

Ground beef costs $2.19 per pound. Which equation best
represents y, the total cost of x pounds of ground beef?
A. x = 2.19y
B. x= 2.19+y
C. y = 2.19x
D. y = 2.19 + x

Answers

Answer:

C

Step-by-step explanation:

When looking at the total cost of x pounds of something when the cost is per pound, you multiply the two numbers. Because y is the total cost, you want that as the answer that you are looking for, so it will be by itself when looking at the two sides of the equation. This means that answer c is the only one correct. A/B cannot be unless you were looking for the number of pounds, and you were dividing y (total cost) by 2.19 (cost per pound). D does not work because you are just adding how many pounds you have to the cost per pound.

At a local print shop, 14 copies can be made for $4. At this rate, how much would it
cost to make 63 copies?
Fill out the table of equivalent ratios until you have found the value of x.
Copies Dollars
14
4
63
2

Answers

Answer:

18 dollars

Step-by-step explanation:

63 divied by 14 = 4.5 x 4 = 18

what is 6+5/7 converted into a mix number

Answers

Answer:

47/7

Step-by-step explanation:

I think the answer is 6 5/7 or 47/4

Answer:

6 5/7

Step-by-step explanation:

Hope this helps!

Best of luck! ♥

Find the area of the octagon.

The area is _

Answers

The answer is easy just divide the product of 22 and 27

Can someone help me it will for sure help alot someone who is confident on doing it WILL GIVE BRAINLIEST

Answers

Answer:

....................

Solve the system of equations:

y=5x+3
2x+6y=50

Answers

x = 1 and y = 8 so (1,8) would be the correct answer

Which of the following is equal to 4.8 ÷ 2?

Answers

DIVISION

Let's divide:

4.8 ÷ 2 = 2.4

Another option:

Shift the decimal point one space for both:

4.8  →  48

2.0  →  20

Now we can divide easily:

48 ÷ 20 = 2.4

It will give the same result.

‎      ‏‏‎

Answer. 2.4

ten to the power of 8

Answers

Answer:

000000000

Step-by-step explanation:

a elevator is on the 10 floor it goes down 6 floors and then up 4 floors what floor is the elevator on now

Answers

Answer:

8th floor

Step-by-step explanation:

10 - 6 = 4

4 + 4 = 8

Answer:

8 floor

Step-by-step explanation:

gfhshddhdhfhdhrbyuygtv

Suppose two angles of one triangle are congruent to two angles of another triangle. Using
the Triangle Sum Theorem, what could you conclude about the third angles in each
triangle? Justify your answer.

Answers

Answer:

عربيععربيعربيع   ربيعربيعربيعربي

Step-by-step explanation:

PLSS HELP NEEDED ASAP

Answers

I believe it is B. It shows the unit rate of the graph in miles per hour

In which of the following triangles are AB || DE?


The photos are the options to choose from! <3

Answers

Answer:

1st triangle and 4th triangle

. At 9 am on a regular school day, there are 35 students in the library. If for every 30 minutes,
5 students will leave, but 2 students will come, at what time will there be no more students in
the library?

Answers

Answer:

360 minutes or In 6 hours.

Step-by-step explanation:

A certain forest covers an area of 1900 km2 . Suppose that each year this area decreases by 4.75% . What will the area be after 8 years? Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1000 klgram Sha bebe

And so many things I have to do whit a person do and every thing

Thank you

When 2/3 tons of coal cost $13.50, what will in ton cost?

Answers

Answer:

20.25

Step-by-step explanation:

Divide 13.50 by 2 and then multiply by 3.

!!!!15 EASY POINTS!!!!

What is 8x times x?

Answers

Answer:

8x²

Step-by-step explanation:

Whenever it's multiplication, you would count how many x's there are and raise the x to the power of the number of x's.

The multiplication of 8x and x is 8x^2.

When we have to do multiplication,

We have given 8x and x.

What is the meaning of multiplication?

Multiplication is defined as calculating the result of repeated additions of two numbers.

you would count how many x's there are and

Raise the x to the power of the number of x's.

and that is

[tex]=8\times x\times x[/tex]

There are two x therefore we have

[tex]=8x^2[/tex]

Therefore the multiplication of 8x and x is 8x^2.

To learn more about the multiplication visit:

https://brainly.com/question/10873737

five sixths yards = inches

Answers

Answer:

Five sixths of a yard is 30 inches

Step-by-step explanation:

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