(2n + 4) + 6 = –9 + 4(2n + 1)

Answers

Answer 1

Answer:

n=2.5

Step-by-step explanation:

(2n+4)+6=-9+4(2n+1)

Expand parentheses:

2n+10=-9+8n+4

Combine like terms:

15=6n

Divide both sides by 6:

n=2.5

Hope this helps!

Answer 2
n = 2.5

2n + 10 = -9 + 8n + 4
2n + 10 = -5 + 8n
15 = 6n
n = 15/6

Related Questions

Which graph represents the function f(x) = 2 (2)X?

Answers

Where are the graphs

Answer:

C.) Third graph

Step-by-step explanation:

BeCaUsE i KnOw :P

Solve for d.

–4(–3d − 3) = 6d

d =

Answers

Answer:

d = -2

Step-by-step explanation:

→Distribute the -4 to (-3d - 3)

-4(-3d - 3) = 6d

12d + 12 = 6d

→Subtract 6d from both sides:

6d + 12 = 0

→Subtract 12 from both sides:

6d = -12

→Divide both sides by 6:

d = -2

Answer:

[tex] \boxed{d = -2} [/tex]

Step-by-step explanation:

[tex]= > - 4( - 3d - 3) = 6d \\ \\ = >( ( - 4) \times ( - 3d)) - ( - 4 \times 3) = - 6d \\ \\ = > 12d + 12 = 6d \\ \\ = > 12d - 6d + 12 = 0 \\ \\ = > 6d + 12 = 0 \\ \\ = > 6d = - 12 \\ \\ = > d = - \frac{12}{6} \\ \\ = > d = - 2[/tex]

If x=1+√2, evaluate x³+1/x³.

Answers

Answer:

18

Step-by-step explanation:

So we start solving like:

x+1x=3

(x+1x)3=33

x3+3.x2.1x+3.x.1x2+1x3=27

(x3+1x3)+3.x2.1x+3.x.1x2=27

x3+1x3+(3x+3x)=27

x3+1x3+3(x+1x)=27

x3+1x3+3×3=27

x3+1x3+9=27

x3+1x3=18  

Therefore the answer is 18

Please do number 2 QUICK

Answers

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

How much money must be deposited to T
earn $200.00 in simple interest in 6 months at an annual
rate of 5.5%?
Can someone help me please?!

Answers

Answer:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 200(1 + (0.055 × 0.5)) = 205.5

A = $205.50

Step-by-step explanation:

A fishing lodge wants to build a new boat ramp. The slope of the ramp must be 8° to the horizontal. The total height of the bank is 2.8 m. How long must the sloping section of the ramp be? Give your answer to the nearest centimetre.

Answers

Answer:

The length of the sloping section of the ramp is 20.12 m

Step-by-step explanation:

Given;

the total height of the bank, h = 2.8 m

The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°

Let the length of the sloping section = L

let the horizontal distance between the height of the bank and sloping section = b

Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h  (height of the triangle) as the opposite side and b  (base of the triangle) as the adjacent side.

We determine L by applying the following formula;

Sinθ = opposite / hypotenuse

Sin θ = h / L

L = h / Sin θ

L = 2.8 / Sin 8

L = 2.8 / 0.13917

L = 20.12 m

Therefore, the length of the sloping section of the ramp is 20.12 m

Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!!

Answers

Answer:

Is this correct

In Triangle A B C, what is the value of x? Triangle A B C. Angle A is 112 degrees. Exterior angle to angle B is 2 x degrees and the exterior angle to angle C is (2 x + 12) degrees.

Answers

Answer:

70°

Step-by-step explanation:

∠A =112°,

Exterior angle to angle B is 2x, therefore ∠B = 180 -2x (angle on straight line)

Exterior angle to angle C is 2x + 12, therefore ∠C = 180 -(2x +12) (angle on straight line) = 180 - 12 -2x = 168 - 2x

∠A + ∠B + ∠C = 180 (sum o angles in a triangle)

112 + 180 - 2x + 168 - 2x = 180

460 - 4x = 180

4x = 460 - 180 = 280

x = 280/4 = 70

x = 70°

Answer:

70º

Step-by-step explanation:

i took the test

Angle b measures 60 what is the measure of the angle that is complementary to angle b ?

Answers

Answer:

30°

Step-by-step explanation:

Complementary is they add up to 90°

90° - 60° = 30°

Answer:

30 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees.   Thus, 60 and (complementary angle) = 90 degrees.  Thus, the angle that is complementary to 60 degrees is 30 degrees.

Simplify √108+√125-√75​

Answers

Answer: Answer in the photo

Step-by-step explanation:

Answer:

12.91

Step-by-step explanation:

find the square roots ;

10.39 + 11.18 - 8.66 = 12.91

HELPPPPPP ITS ABOUT EQUATIONSSSS HELPPPPP
Explanation needed

Answers

Answer:

C. the average total cost for the first month of a gym membership

Step-by-step explanation:

x=1 is for month 1,

the value of y includes 1-month fee and one off payment, so this is the average total for the first month of membership

I hope you can see but can somebody please help me with this?

Answers

Answer:

c find the value

Step-by-step explanation:

plz workout

If C is the midpoint of AB and AB = 20, what is AC?

Answers

Answer:

AC = 10

Step-by-step explanation:

AC+ BC =AB

If C is the midpoint then AC = BC

AC + AC = 20

2 AC = 20

Divide by 2

2AC /2 = 20/2

AC = 10

Answer:

AC=10

Step-by-step explanation:

If a-------c-------b and AB=20 and C is the midpoint, then half of 20 would be 10.

If f(x) = x2 + 1 and g(x) = 3x+1, find f(2) + g(3).

Answers

Answer:

ES IGUAL A 15

Step-by-step explanation:

Don Julio tiene 42 años de edad y Rubén 18,

¿en qué razón están las edades de Rubén y don

Julio?

A) 3 : 4

B) 3 : 5

C) 3 : 6

D) 3 : 7

E) 3 : 8

Answers

Answer:E

Step-by-step explanation:

what is the equation of a circle with center (5, -8) and diameter 4?

Answers

Answer:

is 8 porque s mi nose maje

A circle is centered at Q(1,-5) and has a radius of 5. Where does the point Y(4,-1) lie?

Answers

Answer:

Point Y (4, -1) lies on the circle.

Step-by-step explanation:

Distance = √[(x2-x1)² + (y2 - y1)²] = √[(4-1)² + (-1-(-5))²] = √[3² + 4²]= √25 = 5

Point Y (4, -1) lies on the circle, because the distance from the center to this point equals radius of the circle.

Answer:

On the circle

Step-by-step explanation:

What is the circumference AND area or circle C?

Answers

Answer:

[tex]56.55[/tex] [tex]in[/tex]

[tex]254.47[/tex] [tex]in^{2}[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]C=18\pi[/tex]

[tex]C=56.54866776[/tex]

[tex]A=\pi r^{2}[/tex]

[tex]A=\pi(9)^{2}[/tex]

[tex]A=81\pi[/tex]

[tex]A=254.4690049[/tex]

what is the answer for this equation 8k - 62 = 2 plz answer this correctly

Answers

Answer:

k = 8

Step-by-step explanation:

You are solving for the variable, k. Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS =

Parenthesis

Exponents

Multiplications

Division

Addition

Subtraction

First, add 62 from both sides:

8k - 62 = 2

8k - 62 (+62) = 2 (+62)

8k = 2 + 62

8k = 64

Next, divide 8 from both sides:

(8k)/8 = (64)/8

k = 64/8

k = 8

8 is your answer for k.

~

A farmer wants to plant peas and carrots on no more than 300 acres of his farm. If x represents the number of acres of peas and y represents the number of acres of carrots for solution (x, y), then which is a viable solution? (−25, 100) (380, −160) (150, 145) (100, 250)

Answers

Answer:

The answer is C.

Step-by-step explanation:

You can't have a negative number of peas or carrots, so A and B are out. 1

00+250=350 which is more than 300.

150+145 = 295 which is less than 300.

So the answer is C.

The solutions of an equation are the true values of the equation.

The only viable solution is (c) (150, 145)

Let x represent peas and y represents carrots.

So, the constraints are:

[tex]\mathbf{x , y \ge 0}[/tex] ---- i.e. the values of x and y cannot be 0

[tex]\mathbf{x + y \le 300}[/tex] ---- i.e. the sum of x and y cannot exceed 300

[tex]\mathbf{x , y \ge 0}[/tex]  means that options (a) and (b) are wrong.

This is so, because:

(-25, 100) and (380, -160) contain negative values of x or y

[tex]\mathbf{x + y \le 300}[/tex] means that option (d) is wrong.

This is so, because:

The sum of (100, 250) exceeds 300

Hence, the only viable solution is (c) (150, 145)

Read more about viable solutions at:

https://brainly.com/question/16057582

If you used 0.5 ml of sample and 2.5 ml of diluent what is your dilution ratio?

Answers

Answer:

1/6

Step-by-step explanation:

I think it is:

0.5/(0.5+2.5) = 0.5/3 = 1/6

The price of a rare collection car has increased exponentially
over the past few years with a rate of increase estimated at 5% per year.
At the start of 2015 the value of the car was estimated at £265000.
Estimate the value of the car at the start of 2010.
Round your answer to 3 significant figures.​

Answers

Answer: £208,000

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original price

r = increase rate (decimal form)

t= years  (2015-2010 =5 years)

A = price after t years

Replacing with the values given:

265,000 = p (1+ 0.05)^5

Solving for p

265,000 = p (1.05)^5

265,000 = p (1.05)^5

265,000/ (1.05)^5 =p

p =  £207,634. =208,000 (rounded)

Feel free to ask for more if needed or if you did not understand something.

Answer:

208,000

Step-by-step explanation:

a line with the a slope of -1 passes through the point 0, -3 what is its equation in slope intercept form​

Answers

Answer:

y = -x -3

Step-by-step explanation:

Slope intercept form is in the form y= mx+b where m is the slope and b is the y intercept

Plug in the values from the problem

The answer would be Y= -x - 3

Please answer this math question !! Thank u !! 20 POINTS AND BRAINLIEST!!

Answers

Answer:

infinite solutions

Step-by-step explanation:

Given the 2 equations

y = 6x - 3 → (1)

12x - 2y - 6 = 0 → (2)

Substitute y = 6x - 3 into (2)

12x - 2(6x - 3) - 6 = 0 ← distribute and simplify left side

12x - 12x + 6 - 6 = 0

0 = 0

This solution 0 = 0 indicates that any value of  x is a solution

Thus there are an infinite number of solutions to the system

QUICK!! Identify the parts of this prism. A is ___ B is ___ C is ___

Answers

Answer:

c=face. b=vertex. a=line

Step-by-step explanation:

Answer:

a= edge   b=vertex    c=face

Step-by-step explanation:

Identify the Domain and Range of the graph below:

Answers

Answer:

Domain: ∞

Range: y ≥ -4

Step-by-step explanation:

The domain of any quadratic function is always infinite or ∞. The range ends where the minimum value is or the maximum value depending on which way the parabola is facing- upward or downward.

Teresa is 25 years old, and she makes $30,000 per year. If Teresa were to die,

how much would the beneficiaries of her life insurance policy receive if they

can get by on 75% of her income?

Answers

Answer:

They would receive $22,500 which is 75% of her income

Step-by-step explanation:

Here, we want to know how much the beneficiaries of a life insurance scheme would receive if their principal die.

From the question, we are told that they have the right to claim 75% of her income

From the question also, we were told that what she earns per annum is $30,000

Now, since they have the right to claim 75%, the amount they can claim out of the said income will be;

75/100 * $30,000 = $22,500

Answer:225,000

Bshshsjjdjdnfnjfkf

Laura and Andy are trying out for a part in a school play. There is a total of 9 students trying out for the same part. If the students are chosen at random to audition, what is the probability that Laura will go first and Andy second?

Answers

The probability that Laura will go first and Andy second is 1/210

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

The equation are:

1) h + s = 20

2) 4h = 1s

Step-by-step explanation:

Number of hats Elliott made = h

Number of scarfs Elliott made = s

total number of items Elliott made = 20

h + s = 20 ..[1]

1 hat uses 0.2 kilograms of yarn

1 hat = 0.2 kg of yarn

Then h hats will use = 0.2h kg of yarn

1 scarf uses 0.1 kilograms of yarn

1 scarf= 0.1 kg of yarn

Then s scarfs will use = 0.1s kg of yarn

She wants to twice as much as yarn for scarves for hats:

2 × (0.2h kg of yarn) = 0.1s kg of yarn

0.4h = 0.1s

4h = 1s...[2]

The equation are:

1) h + s = 20

2) 4h = 1s

Answer:C

0.1s=2•0.2h

H+S=30

Step-by-step explanation: I did it on khan

Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Below is the floor
plan of her kitchen.
2.5m
1.5m
14m
Jenny wants to know if she has got enough money to buy the tiles.
The tiles are sold in packs, which cover 3m
Jenny has a discount card which gives her 25% off any marked price at the DIY shop.
The tiles are marked at £14.40
Jenny has £100 to spend on the tiles.
How much extra does Jenny need to buy the tiles?
Give your answer in pence.

Answers

Answer:

Jenny needs £8 extra to buy the tiles.

Step-by-step explanation:

Jenny's kitchen floor is in the form of trapezoid.

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                [tex]=\frac{1}{2}(2.5+1.5)14[/tex]

                               = 28 meter²

One pack of tiles covers the area = 3 meter²

She needs the number of packs of tiles =  [tex]\frac{\text{total area }}{\text{area covered by one pack of tile}}[/tex]

[tex]=\frac{28}{3}[/tex]

= 9.33

Therefore, she has to purchase 10 packs of tiles.

Since the price of one pack of tiles = £14.40

Price of 10 packs of tiles = 14.40 × 10

                                                = £144

Price after using discount card of 25% = 144 -(25% of 144)

                                                                = 144 - (0.25 × 144)

                                                                = 144 - 36

                                                                = £108

Jenny has £100, so she needs £8 extra to buy the tiles.

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Distribute 12 to the quantity (x+1).D. Multiply each side of the equation by 2.E. Subtract 12 from each side of the equation.F. Add together the 8 and the 4 on the right side of the equation.G. Multiply the left side of the equation by 2 to eliminate the fraction.3) In the equation of f(x) shown, r and s are positive real numbers.f(x)=x^22(rs)x+(rs)^2+(r+s)Select the options from the drop-down menus to correctly rewrite f(x).FILL IN: f(x)= ( ......... ......... )2 ..........4) A citys population, P, changes according to the function P(x)=50,000 (0.95)^x. where x represents the number of years after the year 2000.Select the options from the drop-down menus to complete an accurate description of the population.The population of the city in the year 2000 was(.....) . The population is (..............) by (..........)each year. find the x in the tringle El seor moreno blank tan Agradable! Sus amigos blank en Mexico. A.es;estn B.estamos;somos C.somos;estn D.soy;estoy differentiate between lok sabha and rajya sabha tina equally shares 8 cookies among herself and her 4 friends. which fraction shows how many cookies each person getsPLZ ASAP As an object falls to the ground, what happens to its energy? Ignore air resistance in this scenario.A)energy is converted from gravitational potential energy to kinetic energy.B)energy is converted from kinetic energy to gravitational potential energy.C)energy is in motion the whole time.D)energy gets destroyed due to friction Nancy wants to receive the most return on a $50,000 investment. She has two options. Option 1 gives annual interest at 5% compounded yearly. Option 2 gives annual interest at 3.5% compounded monthly. Which option is better after 3 years, and what is the difference in earned interest? 1Option 2 earns more interest by $3,581.52. Option 2 earns more interest by $2,396.13. Option 1 earns more interest by $2,396.13. 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HELP!Consider the below equation:0.5x-7= sqrt(-5x+29)Give 2 different ways to show that the equation does not have any solutions. One way must be solving algebraically, and the other way must be by graphing. Two friends, Terrence and Eric share a certain amount of money in the ratio 5:9. If Terrence gets $56 less than Eric find the total amount of money that is shared between the two boys. Where is g decreasing ? Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!