Solve for n.
n+ 1 = 4(n-8)
0 n = 1
O n = 8
0 n = 11
n = 16


Answer 1


0 n=11

Step-by-step explanation:

1. Distribute


2. Subtract 1 from both sides of the equation



3. Simplify


4. Subtract 4 from both sides of the equation



5. Simplify


6. Divide both sides of the equation by the same term



7. Simplify


Related Questions

1. Multiply (3)(−4)(2). (5 points)




Step-by-step explanation:


Step-by-step explanation:

3 x -4 x 2

6 x -4 =






Step-by-step explanation:


The coefficient is the number before the variable. In this, they are asking for the first term which is -5m. The coefficient is -5.

Step-by-step explanation:

2. Determine the amount of interest owed after 2 years on a $850 loan at 12.25% if no payments
are made. LTD
Enter your answer



Question example:

The amount of interest is 208.74$

Here we have given

Amount (P)=850$

Interest (r)=12.25%

Time (t)=2 years

we have to calculate the simple interest

What is the formula for simple interest?


Plug the given value in above formula


Simplify above equation we get


Therefore the amount of interest is 208.74$

To learn more about the interest visit:

Dan has already written 27 pages,and he expects to write 1 page for every additional hour spent writing . After spending 21 hours writing this week ,how many pages will Dan have written in total ?



48 pages total

Step-by-step explanation:

hope this helps

What is the location of H' after the image is rotated 180 degrees?



The answer is B

Step-by-step explanation:

If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)

15x minus 8 is less than 32



If you want this in an equation, it would be [tex]15x <32[/tex]

If you want the answer to this, it would be [tex]x<2\frac{2}{15}[/tex]

Step-by-step explanation:

Hope this helps:)

A 20 gallon tank is 3/4 full. How many gallons are in the tank?



15 gallons

Step-by-step explanation:

(3 / 4) * (20 US gallons)

= 15 gallons


15 gallons are in the tank

Step-by-step explanation:


help i need to pass:/



biologists have a 14ft john boat with trolling motor for sale or trade for hipnopotomus



Step-by-step explanation:

Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?​



The average decrease each year is 60 because 300 divided by 5 is 60.


7(y-2)=7y-14 I’m kinda confused



Infinitely many solutions

Step-by-step explanation:


7(y-2)= 7y - 14

1. Simplify each side

7y - 14 = 7y - 14

Infinitely many solutions

х+5y = 3
3х - 2y = -8


X equals -2 and y equals 1
Solve for X: x+5y=3

Subtract 5y from both sides: x=3−5y

x=3−5y into 3x−2y=−8

Start with the original equation: 3x−2y=−8

Let x=3−5y: 3(3−5y)−2y=−8

Simplify: 9−17y=−8

Solve for y in 9−17y=−8: y=1

Substitute y=1 into , x=3−5y : x=-2


Solve for y.
C=8(y + k)



C/8    -k= y

Step-by-step explanation:

C=8(y + k)

Divide each side by 8

C/8 = y+k

Subtract k from each side

C/8  -k = y+k-k

C/8    -k= y

Answer: y  =  C /8 −  k

Step-by-step explanation:

What do the two lines in the graph below have in common?


Answer: Parallel and same slope

Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.

branliest plssss :)

helppppppppp pls



Length of the side is 10 for a

Each side for b is 3

Step-by-step explanation:


50 and the second one is 3

Step-by-step explanation:

to get the length from each side the area divide the area by 2 and to get the length for each side from the total perimeter then divide by 4

I need help with this



ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure

help meeeeeeeeeeeeeeee​




Step-by-step explanation:

Answer: A


What are the values of x and y?
image attached. Thank you!




Step-by-step explanation:

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

~ an aesthetics lover



Step-by-step explanation:

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 9[tex]\sqrt{3}[/tex]


sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9


x = 9[tex]\sqrt{3}[/tex] and y = 9 → C

the mass of the moon



The answer is 10^24kg. 0.07346.

find the coordinates of the midpoint of a segment with the given endpoints 3.)P(-12 -9) Q(2,10) help plz ​



(-5, 0.5)

Step-by-step explanation:

-12+2/2= -5

-9+10/2= 0.5

(-5, 0.5)

Help plz and thanks




Step-by-step explanation:


Need all these questions answer plz


Step-by-step explanation:

1 result(s) found




Step by Step Solution:

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Equation at the end of step 1





           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3 + 3x2 - 7x - 12

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -12.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,12

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -3.00      

     -2       1        -2.00        6.00      

     -3       1        -3.00        9.00      

     -4       1        -4.00        0.00      x + 4  

     -6       1        -6.00        -78.00      

     -12       1       -12.00       -1224.00      

     1       1        1.00        -15.00      

     2       1        2.00        -6.00      

     3       1        3.00        21.00      

     4       1        4.00        72.00      

     6       1        6.00        270.00      

     12       1        12.00        2064.00      

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3 + 3x2 - 7x - 12  

can be divided with  x + 4  

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3 + 3x2 - 7x - 12  


By         :    x + 4    ("Divisor")

dividend     x3  +  3x2  -  7x  -  12  

- divisor  * x2     x3  +  4x2          

remainder      -  x2  -  7x  -  12  

- divisor  * -x1      -  x2  -  4x      

remainder          -  3x  -  12  

- divisor  * -3x0          -  3x  -  12  

remainder                0

Quotient :  x2-x-3  Remainder:  0  

Trying to factor by splitting the middle term

2.5     Factoring  x2-x-3  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -1 .

     -3    +    1    =    -2  

     -1    +    3    =    2  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6    Cancel out  (x+4)  which appears on both sides of the fraction line.

Final result :

 x2 - x - 3

Terms and topics

More Icon

Polynomial root calculator

Polynomial long division

Related links

More Icon

Root Finder -- Polynomials Calculator

How to factor five term polynomial - Yahoo Answers

Long Polynomial Division

Polynomial long division - Wikipedia

Polynomial Long Division

Polynomials - Long Division


What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}

a {0, 2, 4}

b {-1, 1, 3}

c {2/3, 4/3, 2}

d {-2/3, 5/3, 4}




Step-by-step explanation:


a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.


Step-by-step explanation:

20n 20394848484848575

The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.

What is Force?

Force is the strength applied on an object with mass to change its state of motion.

The mass of the body is 10kg.

The force applied on the object is 40N.

The time for which the force is applied is 0.5 sec.

The impulse on the body is calculated by,

Impulse =  Force * Time

Impulse = 40 * 0.5

Impulse = 20 kg-m/s

The final speed of the body is given by

v = u + at

Assuming the initial speed = 0

v = at

Acceleration =  Force / mass

Acceleration = 40/10

a = 4 m/s²

v = 4 * 0.5

v = 2 m/s

The distance covered within the time interval is given by,

s = ut + (1/2) at²

s = (1/2) at²

s = (1/2) 4 * 0.5 *0.5

s = 0.5 m

To know more about Force


Suppose at age 22 mort starts investing 200$ at the end of each month into a savings plan with an apr of 2.9% and he continues to do so through the next 43 years ( planning to retire at age 65). How much will be in his savigns plan towards retirement? How much of his balance was from the interested loans



Kindly check explanation

Step-by-step explanation:

Given the following :

Monthly Payment (PMT) = 200 at the end of each period

interest rate = 2.9% = 0.029/12 = 0.0024166

Period (n) = 43 years x 12 = 516

Using the future value(FV) of an ordinary annuity:

FV = PMT[(1 + r)^n - 1] / r

FV = 200[(1 + 0.0024166)^516 - 1] / 0.0024166

FV = 200[(1.0024166)^516 - 1] / 0.0024166

FV = 200(2.4745372) / 0.0024166

FV = 204,794.93

Amount which will be in saving plan towards retirement = $204,794.93

Interest amount :

$204,794.93 - total monthly deposits

$204,794.93 - (200 * 516)

$204,794.93 - $103,200

= $101,594.93

Which of the following is an example of the atmosphere interacting with the biosphere?


I’d say option 4

However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.

So I’d stick with option 4.

Good luck!

Find the slope of the line


Slope formula =





Step-by-step explanation:

slope = ΔY  / ΔX  = 5/(-5)=-1

Which expression is equivalent to 5 (h + 9)?



5(m+9) = 5m+25


5(m+9) = 5m+25

Step-by-step explanation:


Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?



the product of the two integers is -80




it was on a mathcounts competition

The sum of triple a number d and 5
(it’s translating expressions)




Step-by-step explanation:

Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?


Answer: 2

Step-by-step explanation:

Given:  14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.

If they want to pack one genre of book in each box such that they pack same number of books in each box.

Then, the greatest number of books Barnes and Noble can pack in each box

= GCD(14,12,8)

Since, 14 = 2 x 7

12 = 2 x 2 x 3

8 = 2 x 2 x 2


Hence, the greatest number of books Barnes and Noble can pack in each box = 2

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the prefix ad placed in front of a word means what Read the following paragraph and answer the question below.Surfers have learned to deal with the breaking surf by using the push-up technique. First, when approaching the initial lip of the wave, speed up the paddling cadence and head directly intothe wave. Next, push up and get onto the knees or toes as soon as the wave hits the nose of the board so that the wave rolls over the board and under the chest. The more power the ridergoes into a wave with, the easier it will be to maintain his or her position. Finally, avoid going into the wave at an angle or the water will knock you off your board. The whitewater can be anexasperating obstacle, but with a little practice every surfer can navigate a breaking surf.Which option best describes the ordering sequence used in this paragraph?AClimactic order.Topical orderCSpatial orderDChronological orderNone of the above If MO=16x, MN=14x+20, then what is the length of NM How long does it take for a jellyfish to reproduce Read the first stanza of "The Tide Rises, The Tide Falls."The tide rises, the tide falls,The twilight darkens, the curlew calls;Along the sea-sands damp and brownThe traveller hastens toward the town,And the tide rises, the tide falls.Why does the poet most likely use the words damp and brown to describe the sands?to create a subdued mood within the poemto make the poem more haunting or unsettlingto give a sense of the time of yearto evoke sadness within the reader Which expression would be easier to simplify if you used commutative property to change the grouping?A. 95+47+5B. 1/4+3/4+2C. 20+80+(-11)D. -40+(-50)+17(I'll give brainliest for correct answer and how accurate it is.) Typesof lubricants online market include:A. Multi-useB. SiliconeC. White lithiumD. All of the above What is the effect of tap water, sea water, and rainwater on the rusting rate of iron?(Please i need an answer -) What are the benefits and dangers of the Iron element in our daily life? Plz help me Ill give brainliest!! What is the danger zone for bacteria? A. Below 40 B. Between 40 and 140 C. Above 140 D. The only safe temperatures are between 40 If the quarter note equals one beat, how many beats would this note be worth? Leslie gained 5.54 pounds between her third and fourth birthdays. If she weighed 42.48 pounds when on her fourth birthday, how much did she weigh in pounds on her third birthday? Does this mean to add or subtract? Pick the correct operation and solve ONLY that one. Select the correct answer.Which of these graphs represents a function? A car travels 45 miles per hour. What is this speed in feet per hour? a(n)=c5+6(n1)a(n)=c-5+6(n-1) If a Ferris wheel takes 45 seconds to make a complete rotation, how many rotations will it complete in 3 hours? In two to four sentences, explain how this sentence or passage communicates or supports the theme. Complete the following sentence to help you begin your explanation.This quotation shows how the protagonist has learned / has not learned...the short story is Theseus and the Minotaur help me with this task:please write in past simple Help me out on this?