8(5 + 4n) + 11 = -5(3 - 7n)

Answers

Answer 1

Isolate the variable by dividing each side by factors that don't contain the variable.

n = 22

Answer 2

Answer:

n=22

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8(5+4n)+11=−5(3−7n)

(8)(5)+(8)(4n)+11=(−5)(3)+(−5)(−7n)(Distribute)

40+32n+11=−15+35n

(32n)+(40+11)=35n−15(Combine Like Terms)

32n+51=35n−15

32n+51=35n−15

Step 2: Subtract 35n from both sides.

32n+51−35n=35n−15−35n

−3n+51=−15

Step 3: Subtract 51 from both sides.

−3n+51−51=−15−51

−3n=−66

Step 4: Divide both sides by -3.

−3n /−3  =  −66 /−3

n=22


Related Questions

i need help plz
State the coordinates of the point.

Answers

Answer:

(-5,8)

Step-by-step explanation:

Hope this helps ;)

need help asap please

Answers

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

The graph shows the distance Maria traveled from home in miles (y) as a function of time in seconds (x). Image is down below:
Which segment shows Maria waiting for a cab? (5 points)
P
Q
R
S

Answers

Answer:

The answer is point Q

Step-by-step explanation:

What is the equation that represents this pattern

Thanks

Answers

t = 3f -1

hope this helps

Answer:

something like f(t)=t+3

Step-by-step explanation:

Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set B

B={ 0,1,4,9,16,25}

Analysis of the elements in the set B

[tex]m = 0 = 0^{2}[/tex][tex]m\:=\:1\:=\:1^2[/tex][tex]m\:=\:4\:=\:2^2[/tex][tex]m\:=\:9\:=\:3^2[/tex][tex]m\:=\:16\:=\:4^2[/tex][tex]m\:=\:25\:=\:5^2[/tex]

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }

Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010

Answers

Answer:

Step-by-step explanation:

Glacier National park has the area in year 2007 = 142 acres

It's shrinking at a rate = 4.4% per year

a). Since, shrink in the size of the glacier is an exponential process,  

    Therefore, formula for the size of the glacier in 'n' years,

    A = 142(1 - 0.044)ⁿ

    A = 142(0.956)ⁿ

b). Difference between year 2007 and 2020 = 13 years

    By substituting n = 13 years in the formula,

    A = 142(0.956)¹³

        = 79.11 acres

    Therefore, size of the glacier in year 2020 = 79.11 acres

c). Difference between year 2007 and 2010 = 3 years

    By substituting n = 3 years in the formula,

    A = 142(0.956)³

    A = 124.07 acres

    Loss of the ice from the glacier = 142 - 124.07

                                                         = 17.93 acres

    Therefore, loss of the ice from the glacier in 3 years = 17.93 acres

witch equation represents a linear function

Answers

Y=3x2+1
Hope this helped :)

Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation

Answers

Answer: A

Step-by-step explanation:

Answer:

A. Reflection, rotation, translation

Step-by-step explanation:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent. Explore and discuss the examples of transformations below with your child. Examples of Transformations.

thats the problem the words say. Write an expression in simplest form that represents the perimeter of the polygon​

Answers

Answer:

(29x + 9)

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Therefore, Perimeter of the given polygon = (9 + 12x + 2x + 2x + 12x + x)

                                                                       = (9 + 29x)

Expression (29x + 9) will represent the perimeter of the polygon.

6 batteries cost 29 dollars what is the unit rate?

Answers

Answer:

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour

Answer:

[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]

Step-by-step explanation:

Unit rate is a ratio that compares two measurements.

Denominator is 1

[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]

Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period.

Which equation shows the relationship in the table between the time, t, and the depth, d?

Answers

Answer:d

Step-by-step explanation:

Solve: 33 + 27 ÷ 9 + (30 ÷ 5)

Answers

Answer:

42

Step-by-step explanation:

You need to follow P--E--M--D--A--S

                                A  X  U   I    A  U                

                                R  P   L   V   D  B

                                E  O  T    I    D  T

                                N  N  I    T    I   R

                                T  E   P    I    T  A

                                H  N  L   O   I   C

                                E  T   I    N   O  T

                                S  S  C         N   I

                                 I       A              O

                                S       T              N

                                          I

                                         O

                                         N

I will give brainiest to whoever answers correctly !!

Answers

Answer:

-6.08 or 6.08

Step-by-step explanation:

Casandra earned 520$ this month by walking her neighbors dog . This is a 30% increase from amount she earned last month

Answers

Answer: last week she earned $364.

Step-by-step explanation:

Guy is self employed. In one year, Guy generates a gross income of $44,500. When calculating his taxes, Guy is allowed to deduct $2,500 in expenses from his gross income (the result is his 'operating income'). Guy must then pay 10% tax on all operating income up to $20,000 and then 20% on any operating income over $20,000. Calculate the amount of tax that Guy must pay. Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.

Answers

Answer:

20000÷20= the amount you need for the income price is 16000

Answer:

Step-by-step explanation:

Operating Income=$44,500−$2,500=$42,000.

So Guy will be taxed 10% on $20,000 and 20% on $(42,000−20,000)=$22,000, hence

Total Tax=10%×$20,000+20%×$(42,000−20,000)=$6,400.

Find the smallest non-zero whole number n such that 756n is a perfect cube.

Answers

Step-by-step explanation:

756 = 2² * 3³ * 7.

For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.

How to get from 2² to 2³: Multiply by 2.

3³ has already a power that is a multiple of 3.

How to get from 7 to 7³: Multiply by 7².

Hence n = 2 * 7² = 98.

I need help with this

Answers

Gradient is 1/4 or 0.25

Answer:

1/4

Step-by-step explanation:

As 4 units move to the right, 1 unit goes up. Using the formula for slope:

Rise / Run

The gradient of the blue line is 1/4 or 0.25

answer:A XHBBUFXZHBFIHIFCXIJFIJVFIIJIJVFIJIJF

Answers

I'm confused about what is this

Please help with my exit ticket

Answers

9514 1404 393

Answer:

  A.  2,144.66 in³

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = (4/3)πr³

The radius is half the diameter, so this can be written in terms of diameter as ...

  V = (4/3)π(d/2)² = (π/6)d³

For a diameter of 16 inches, the volume is ...

  V = (π/6)(16 in)³ ≈ 2,144.66 in³

Explain why the expressions 8x(6-4) and 8x6-4 dont not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)

Answers

Answer:

Because the first has () and the second doesn't so if u multiply the first one you will have to start with the () but if u answer the second u can start with anything

-44 x -44 × -44 × -44 =

Answers

Answer:

3748096

Step-by-step explanation:


1. Another line k is perpendicular to line j and passes through
The equation for line j can be written as y =1/2x-1
the point (6, -6). Choose the equation for line k.

Answers

Answer:

The equation for line k is [tex]y = -2x + 6[/tex]

Step-by-step explanation:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope.

When two lines are perpendicular, the multiplication of their slopes is -1.

The equation for line j can be written as y =1/2x-1

Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:

[tex]\frac{1}{2}m = -1[/tex]

[tex]m = -2[/tex]

So

[tex]y = -2x + b[/tex]

It passes through the point (6,-6).

This means that when [tex]x = 6, y = -6[/tex]. So

[tex]y = -2x + b[/tex]

[tex]-6 = -2(6) + b[/tex]

[tex]b = 6[/tex]

So

[tex]y = -2x + 6[/tex]

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

ST = 8 m

Step-by-step explanation:

Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.

Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.

Side PQ = 8 m

Therefore, side ST = PQ = 8 m


1) Which of these are equivalent to - ? Choose ALL that apply.

PLEASE ANSWER ASAP !!!!
*ANSWERS ON PIC*

Answers

the last 3 should be the right ones, hope thats correct
The fist one is right hope I helped you

maurice read 10 pages that is 50 percent of the paper lenght what i the paper lenght​

Answers

Answer:

Would it not be 20?

Step-by-step explanation:

Answer:

The answer is 20

Step-by-step explanation:

If 10 pages is 50% of the paper length, to make it equal 100% you just multiply 10X2 or add 10+10 and that equals 20.

Which table represents the statement "Di runs at a rate of 4 meters per second " ?​

Answers

Answer:

The third one Edg

Step-by-step explanation: Brainlest plzzz

What is an angle that is complementary to DGE?

(Please hell I’ll reward)

Answers

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

PLEASE HELP IM GETTING TIMED 8. The graph shows the relationship between the depth of a diver and the time that has passed .

Which function best represents the relationship shown in the graph ?

A. y = 10x - 15
B. y = 2x - 15
С. y = - 10x - 15
D.y=-15x-10

Answers

Answer:

C

Step-by-step explanation:

Glad I could help!

Answer:

c

Step-by-step explanation:

rise/run

-20/2=-10 for the slope

The price of a stock decreased $2 each day for seven consecutive days what was the total change in value of the stock over the seven days

Answers

Answer:

The stock lost $14 in 7 days

Step-by-step explanation: I know how to multiply.

The total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

It is given that:

The price of a stock by decreased $2 each day for seven consecutive days

The price of a stock decreased by $2 per day for seven consecutive days.

Each day the cost is decreased by $2

Therefore, in 7 days the total reduction in cost is: 7×2= $ 14

So, the total change in the value of the stock is:  -$ 14.

The total change in the value of the stock over the seven-day period is:

It decreased by $ 14

Thus, the total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

pls help u dont have to explain that much​

Answers

Answer:

k = -7

Step-by-step explanation:

Given

x² - x - 42 = (x + k)(x + 6)

Required

Find k

x² - x - 42 = (x + k)(x + 6)

Expand the left hand side

x²-7x + 6x - 42 = (x + k)(x+ 6)

Factorize

x(x - 7) + 6(x- 7) = (x + k)(x+ 6)

Further factorize

(x - 7)(x + 6) = (x + k)(x + 6)

By comparison

x + k = x - 7

Subtract x from both sides

k = -7

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