Solve the equation. -18-6k = 6(1+ 3k) a) k= -2.67 b) k= -1 c) k = 1 d) k = 6​

Answers

Answer 1

Answer: c) k = 1

Step-by-step explanation:

18 - 6k = 6 + 18k

18 = 6 + 12k

12 = 12k

1 = k

Answer 2

The value of k is -1.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 7 is an equation.

We have,

-18 - 6k = 6 (1 + 3k)

Solve for k.

-18 - 6k = 6 (1 + 3k)

-18 - 6k = 6 + 18k

-18 - 6 = 18k + 6k

-24 = 24k

k = -24/24

k = -1

Thus,

k is -1.

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Related Questions

(3x-7) (x+5) what is the value of x

Answers

Answer:

3x^2+8x−35

Step-by-step explanation:

sry if this is wrong

6-4x=6x-8+2
cual es la respuesta de esta ecuación ?​

Answers

6-4x = 6x-8+2

6-4x = 6x-6

10x = 12

x = 6/5

Answer:

La repuesta es 6/5.

Step-by-step explanation:

6-4x=6x-8+2

-2               -2

4-4x=6x-8

+8         +8

12-4x=6x

  +4x   +4x

12=10x

÷10  ÷10

12/10=x

6/5=x

Help help help helppoo

Answers

The answer to the problem is D

✅ Right answers only ✅

Answers

Answer:

12x+4x

Step-by-step explanation:

What the person above this said

How is 0.09 smaller than 0.1

Answers

Answer:

[tex]0.09 < 0.1[/tex]

Step-by-step explanation:

Remember that it doesn't matter how many numbers are after the tenths place of a decimal point what matters is the tenths place itself. If you have a decimal that has dozens of numbers but it's tenth place is a 3 and then you have a decimal with 5 numbers in whole but it's tenths place is 4, the 4 is greater then the 3 simply because it's greater in tenths.

Hope this helps.

1) Simplify the expression:
12 - [2 +6+ (10 - 23)] =

Answers

Answer:

17

Step-by-step explanation:

use PEMDAS but it’s 17

Answer:

Simplifying

12 + -1[2 + 6 + (10 + -23)] = 0

Step-by-step explanation:

please answer this for me

Answers

216 square inches
Divide 24 by 40. Then multiply that by 15. You get 9. Multiply 9 and 24

k(-1)=? need hlep not ask for mush answers quick pls ❤️❤️

Answers

The anwser is 7 I’m pretty sure

Jessie bought f bags of potting soil for $2.00 each. Which expression shows how much Jessie paid?
A. f + 2
B. 2f
C. 2f + 2
D. f + f

Answers

Answer:

B. 2f

Step-by-step explanation:

give brainliest please :)

Answer:

the answer is a because since it’s $2 each and there’s f amount of bags, you would multiply to get the total cost so that means its B

Step-by-step explanation:

I cut out a square piece of fabric with an area of 32 square feet. Which expression could be used to find the side length of the fabric?

Answers

Answer:

area=length*width

32/width=length

The expression to find the side length of the fabric is,

⇒ Side length = √32

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The area of a square piece of fabric = 32 square feet

Now,

Since, We know that;

Area of square = Side²

Substitute the value of area of square piece of fabric in above equation, we get;

Side² = 32

Take square root both side, we get;

Side = √ 32

Thus, The expression to find the side length of the fabric is,

⇒ Side length = √32

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Please help me with this I would appreciate it a lot thank you!

Answers

Answer: B

Step-by-step explanation: Big Brain

What are the factors of 3x2 + 10x + 8?
(3x+8)(x+1)
(3x+1)(x+8)
(3x+2)(x+4)
(3x+4)(x+2)

Answers

Answer: (3x+2)(x+4)

Step-by-step explanation:Explanation:

3x2+10x−8

first multiply

3

with −8

and we get −24

then find two numbers that if we add or subtract we get

+10

and if we multiply we get

−24

and the numbers are

+12

and

−2

then we place those numbers as follow :-

3x2+12x−2x−8

then we group them

(3x2+12x)(−2x−8)

now take the common factor out.3x(x+4)−2(x+4)

then group the numbers outside of the brackets

(3x−2)(x+4)

There are 4 squares and 10 triangles. What is the simplest ratio of squares to total shapes?

Answers

Answer:

2:5 I think

Step-by-step explanation:

mark spent 135$ on his comic book collection. he just sold it online for 310$. approximately what is the profit as a percent of his original cost?

Answers

Answer:

70% is approximately the answer

Step-by-step explanation:

135 x 2 = 270

310 - 270 = 40

35 out of 40 is 7/8.

The answer should be approx 70, I can not make sure.

What is the total cost of a $250,000 house with a 6.5% tax rate?

Answers

Answer:

266,250$

Step-by-step explanation:

These tables of ordered pairs represent some points on the graphs of lines m and n.


Which system of equations is represented by lines m and n?


a) 3x-4y=24 2x+37=-6

b) x-8y=16 5x+2y=20

c) x-3y=6 5x-y=10

d) 2x-9y=18 7x-2y=14


line M

x y
-3 -3
0 -2
6 0
line n
x. y
-3 -25
1 -5
6 20


im literally begging, pleaseee helpp!!

Answers

Answer: its b

Step-by-step explanation:

The system of equations x - 3y = 6; 5x - y = 10 is represented by lines m and n respectively. which is the correct option (C).

What is the slope of the line?

The slope of a line is defined as the gradient of the line.

Given that line M passes through the points (-3, -3) and (6, 0).

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -3, y₁ = -3

x₂ = 6, y₂ = 0

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - (-3) = (0 - (-3))/(6-(-3) )[x -(-3))

⇒ y + 3 = 3/9(x + 3)

⇒ y + 3 = 1/3(x + 3)

⇒ 3y + 9 = (x + 3)

⇒ x - 3y = 6

Given that line N passes through the points (-3, -25) and (6, 20).

⇒ y - (-25) = (20 - (-25))/(6-(-3) )[x -(-3))

⇒ y + 25 = 45/9(x + 3)

⇒ y + 25 = 5(x + 3)

⇒ y + 25 = 5x + 15

⇒ 5x - y = 10

Therefore, the system of equations x - 3y = 6; 5x - y = 10 is represented by lines m and n respectively.

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A tour company for large groups charges a one time fee of $200 plus an additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable.

Answers

Answer:

200+25n=1650

n=58

Step-by-step explanation:

200+25n=1650

25n=1450

n=58

The solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given that company for large groups charges a one time fee of $200 plus an additional $25 per person who goes on the tour.

Let's consider n be the number of people going on the tour.

Then the inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be;

200+25n ≥1650

To solve for n;

200+25n=1650

25n=1450

n=58

Hence, the solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.

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11/3 ÷ 2/ 3
/ is fraction

Answers

Answer:

that looks tough

Step-by-step explanation:

msybi

Answer:

decimal way 5.5

Step-by-step explanation:

fraction way 5 1/2

Which numbers lie between -2 and -3 on a number line​

Answers

Answer:

Any real number between the two numbers such as -2.99, -2.5, -2.01, basically anything between the two.

Step-by-step explanation:

need help on 5 and 6 finding the unit rate PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

Your correct lets say it was at 30 degrees, it would be in 4 hours so the unit rate is 15/2, the same with number 6 it would be 366 miles in 6 hours so the unit rate is 183/3

Please help me on this question

Answers

I think it’s B.ONE because the two lines intersect at one point

Fourth grade > E.11 Divide 2-digit numb Divide: 16 16 : 5 = OR Submit​

Answers

Answer:

22 and 0

Step-by-step explanation:


Determine if the given pair of lines is parallel, perpendicular or neither.
(1 Point)
Y= 5x+3
y = -6x + 3
I need help ASAP it’s a math question for my test

Answers

It’s neither, and this is because the slope is not opposite or the same, the same y intercept yes...but there isn’t any parallel or perpendicular features...you can see this when you graph it :)

is this proportional or not

Answers

Answer:

yes

Step-by-step explanation:

also nice woody pfp :D

The below shows the cost of items sold at Luke's electronics. Which two items would represent the ratio 3:1

Xbox game $60
Stereo $100
DVD player $30
TV $400
Blue Ray Player $90

Answers

The blue ray and the tv combined is 490 so just divide by 2 there’s your answer bud

shut up bought a pen on sale. she saved 17% of the original price of $29. about how much money did she save? a $1 b $5 c $10 or d$20​

Answers

Answer:

$4.93 cents so round it to $5.00

Step-by-step explanation:

the answer would be B. $5


A pet store has 7 canaries and 3 parrots.The ratio of the number of parrots to the total number of birds is

Answers

Answer:

3 : 10

Step-by-step explanation:

most simplified form

The ratio of the number of parrots to the total number of birds will be equal to 3:10.

What is ratio?

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the provided information in the question,

Total canaries in the store = 7

Total parrots in the store = 3

Then, total number of birds in the store = 7 + 3 = 10

So, the ratio of number of parrots to the total number of birds will be,

3 : 10

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Help Please.........​

Answers

Answer:

Step-by-step explanation:

Mark or flag this, i realized i messed up when i reread it and there's a better answer underneath this one. My apologies

Answer:

x = - 10.5

Step-by-step explanation:

Given that y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion

To find k use the condition y = 8 when x = 3.5 , then

8 = [tex]\frac{k}{3.5^2}[/tex] ( multiply both sides by 3.5²

8 × 3.5² = k , that is

k = 98

y = [tex]\frac{98}{x^2}[/tex] ← equation of proportion

When y = [tex]\frac{8}{9}[/tex] , then

[tex]\frac{8}{9}[/tex] = [tex]\frac{98}{x^2}[/tex] ( cross- multiply )

8x² = 882 ( divide both sides by 8 )

x² = 110.25 ( take the square root of both sides )

x = ± [tex]\sqrt{110.25}[/tex] = ± 10.5

Thus x = - 10.5 ← is the negative value of x

3. Candy Kane Cosmetics (CKC) produces Leslie Perfume, which requires chemicals and labor. Two production processes are available: Process 1 transforms 1 unit of labor and 2 units of chemicals into 3 oz of perfume. Process 2 transforms 2 units of labor and 3 units of chemicals into 5 oz of perfume. It costs CKC $3 to purchase a unit of labor and $2 to purchase a unit of chemicals. Each year, up to 20,000 units of labor and 35,000 units of chemicals can be purchased. Each ounce of Leslie Perfume sells for $5.

Answers

Answer:

using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.

Total production = 6,666 x 3 = 19,998 ounces of perfume.

Total revenue = 19,998 x $5 = $99,990

Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662

Operating income = $53,328

Step-by-step explanation:

Variables:

P₁ = number of hours in process 1

P₂ = number of hours in process 2

P₁ yields 3 ounces of perfume

P₂ yields 5 ounces of perfume

both are sold at $5 per ounce

15P₁ + 25P₂

labor usage:

(1P₁ + 2P₂) x $3

3P₁ + 6P₂

chemicals usage:

(2P₁ + 3P₂) x $2

4P₁ + 6P₂

Profit = 15P₁ + 25P₂ - (3P₁ + 6P₂) - (4P₁ + 6P₂) = 8P₁ + 13P₂

so we need to maximize 8P₁ + 13P₂

the constraints are:

3P₁ + 6P₂ ≤ 20,000

4P₁ + 6P₂ ≤ 35,000

P₁, P₂ ≥ 0

using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.

Total production = 6,666 x 3 = 19,998 ounces of perfume.

Total revenue = 19,998 x $5 = $99,990

Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662

Operating income = $53,328

Write an equation of the line that passes through a pair of points:
(-5,-2), (4,5)
It’s not b

Answers

Answer:

C

Step-by-step explanation:

We want to determine the equation of the line that passes through the points (-5, -2) and (4, 5).

First, let’s determine the slope of the line. We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (-5, -2) be (x₁, y₁) and let (4, 5) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{5-(-2)}{4-(-5)}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{5+2}{4+5}=\frac{7}{9}[/tex]

So, our slope is 7/9.

Now, we can use the point-slope form to determine the rest of the equation:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute 7/9 for m.

For consistency, we will also let (x₁, y₁) be (-5, -2). Hence:

[tex]\displaystyle y-(-2)=\frac{7}{9}(x-(-5))[/tex]

Simplify:

[tex]\displaystyle y+2=\frac{7}{9}(x+5})[/tex]

Distribute:

[tex]\displaystyle y+2=\frac{7}{9}x+\frac{35}{9}[/tex]

Subtract 2 from both sides. Note that 2 is equivalent to 18/9. Hence:

[tex]\displaystyle y=\frac{7}{9}x+\frac{35}{9}-\frac{18}{9}[/tex]

Simplify:

[tex]\displaystyle y=\frac{7}{9}x+\frac{17}{9}[/tex]

Therefore, our answer is C.

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