Solve the following linear equations
(i) 2(k − 3) = k +7
(ii) = -9
E
g+8
2​

Answers

Answer 1

Answer:

The value of k=13

Step-by-step explanation:

Given the equation

[tex]2\left(k\:-3\right)\:=\:k\:+7[/tex]

[tex]2k-6=k+7[/tex]

Add 6 to both sides

[tex]2k-6+6=k+7+6[/tex]

[tex]2k=k+13[/tex]

subtract k from both sides

[tex]2k-k=k+13-k[/tex]

[tex]k=13[/tex]

Therefore, the value of k=13


Related Questions

I need help answering this question!

Answers

Answer:

2x+7=-3+2x multiply what’s in the bracket by the negative sign

Collect like terms

2x-2x=-3-7, so

0=-10

Step-by-step explanation:

I hope this is the answer, if it helped please give me brainliest

What is the value of |−44|?

Answers

Answer:

44

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

absolute value just makes the number positive

Which of the following sets of numbers could NOT represent three sides of a triangle

Answers

Answer:

4, 10, 15

Step-by-step explanation:

Because 4 plus 10 is less than 15

A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?​

Answers

Answer:

370

Step-by-step explanation:

can i get brainliest

Most units in the metric system are based
of the power of
1
5
0.1
10

Answers

Answer:

10

Step-by-step explanation:

Express as a product: 1-2cos(2a)

I've been really struggling with this. Please help & explain it.

Answers

Answer:

(2sin a - 1)(2sin a + 1)

Step-by-step explanation:

Here, we want to express what is given as a product

Mathematically;

cos2a = 1-2sin^2A

So we have;

1-2(1-2sin^a)

= 1 - 2 + 4sin^2a

= 4sin^2a - 1

Using the difference of two squares, this is;

(2sin(a) - 1)(2sin a + 1)

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a) Simplify the expression and explain each step. (2 points) 4 ( 3 x + 2 ) − 2 b) Factor the expression completely. (1 point) 20 b − 16

Answers

Answer:

Step-by-step explanation:

To simplify the expression:

4(3x+2) - 2

The first step is to open the brackets

= 4 * 3x + 4* 2 - 2

= 12x + 8 - 2

= 12x - 6

Factor out the above expression, we get;

= 6(2x - 1)

To factor out the expression:

20b - 16

the factor that can be divided by 20 and 16 without remainder is 4;

So, we have:

= 4(5b - 4)

Complementary and supplementary angles (no visual)
Za and Zb are complementary angles. Za measures 55°.
What is the measure of Zb?
Stuck? Watch a video or use a hint.
Report a problem
Pi
Tea
7 of 7

Answers

Answer:

b=35°

Step-by-step explanation:

complementary angles add up to 90°

a+b=90°

55°+b=90°

-55 -55

b=35°

hopefully this helps :)

What’s the absolute value equation for |x+4|=12

Answers

Answer:

8 and -16...............

| x + 4 | = 12 <=> x + 4 = 12 hoặc -x - 4 = 12 <=> x = 8 hoặc x = -16

Given B(17,5), C(11,-3), D(-1,2), and E(x,-6), find the value of x so that BC || DE

Answers

Answer: x = 7

Step-by-step explanation:

If 1 1/2 cups of water fills 2/3 of a water bottle. How many cups of water are needed to fill 1 water bottle?

Answers

Answer:

I think its 2 1/4, sorry if i'm wrong

Step-by-step explanation:

2.25 cups of water are needed

What are the variable term in this expression 6x² +3ry + 3z

Answers

Answer:

x y and z?

Step-by-step explanation:

HELP FIND THE SLOPE. pLEASEEEEEEEE

Answers

it’s 1/0 because rise/run

Answer:

the slope is undefined

Eighteen 2.5 gallon buckets are needed to fill a cistern with water. Find the constant of variation. Please help! Thank you!

Answers

Given:

Eighteen 2.5 gallon buckets are needed to fill a cistern with water.

To find:

The constant of variation.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

Where, k is constant of variation.

In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

[tex]w\propto n[/tex]

[tex]w=2.5n[/tex]        (Capacity of each bucket is 2.5 gallons)

Therefore, the constant of variation is 2.5.

Answer:

45

Step-by-step

I just did 18 * 2.5!

It a simple answer!

The quantites are inversely so that means you multiply the numbers. Like 18 * 2.5. That's how I got 45

meg has $20 in a savings account that earns 10% annually. the interest is not compounded. how much will she have in 1 year

Answers

Answer: 22$

Step-by-step explanation: 10% of 20 is 2 so 20 + 2 = 22.

Hope this helps! ;)

Evaluate this
(help)

Answers

Answer:

D. [tex]\frac{1}{27}[/tex]

Step-by-step explanation:

[tex]3^{-3}[/tex] = [tex]\frac{1}{27}[/tex]. First you need to remove the negative exponent, to do this move the term into the denominator. [tex]\frac{3^{-3} }{1}[/tex] becomes [tex]\frac{1}{3^{3} }[/tex], then solve for [tex]3^{3}[/tex], which equals 27. So your answer is [tex]\frac{1}{27}[/tex].

At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C , to the number of gallons of gas purchased, g

Answers

Answer:

C (g) = 2.75g

Answer: C (g) = 2.75g

The exterior angle of a regular polygon is 60°.
What is the name of the regular polygon?​

Answers

Step-by-step explanation:

exterior angle = 60°

exterior angle = 360/n

60° = 360°/n

60n = 360°

n = 6

A regular polygon with 6 sides is a HEXAGON.

-3 (x + 10)

HELP
PLEASE

Answers

Answer:

−3X−30

Step-by-step explanation:

how do you do multiplication in 7th grade mathimatics

Answers

Answer:

Learn your timetables daily.

Step-by-step explanation:

You can find songs online to help you memorize and understand them in the simplest form.

Answer:

you should practice your timetables and do some math practice so you could understand other math like division.

Step-by-step explanation:

HELP!! Combining like terms with rational coefficients
− 2/1 (−3y+10)

Answers

Answer:

6y−20

Step-by-step explanation:

Can a number be both rational and irrational? Why or why not?

Answers

Answer:

Step-by-step explanation:

If it is irrational, it can never be rational unless it is acted upon by something else like a power.

Pi, no matter what is done to it, can never be rational.  Once a number is declared as irrational, that is what it remains.

what is the slope of any line that is perpendicular to the line y+3=2/5(x-1)

PLEASE YALL

Answers

Answer:

-5/2

Step-by-step explanation:

the slope of a perpendicular line is the opposite reciprocal

The slope is any line that is perpendicular to the line is -2/3

On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(2, 3), and C(4, −1). A bank employee drives from Branch A to Branch B and then drives halfway to Branch C before getting stuck in traffic. What is the minimum total distance the employee may have driven before getting stuck in traffic? Round to the nearest tenth of a mile if necessary.


The minimum total distance the employee may have driven before getting stuck in traffic is

miles.

Answers

Answer:

7.6 miles

Step-by-step explanation:

Given the coordinate points :

A(−3, 1), B(2, 3), and C(4, −1)

Distance (d) between A and B:

x1 = - 3 ; x2 = 2 ; y1 = 1 ; y2 = 3

d = √(x2 - x1)² + (y2 - y1)²

d = √(2 - (-3))² + (3 - 1)²

d = √25 + 4

d = 5.385 miles

BC :

d = √(x2 - x1)² + (y2 - y1)²

d = √(4 - 2)² + (-1 - 3)²

d = √2² + (-4²)

d = √4 + 16

d2 = 4.4721359 miles

(1/2) of d2 = 1/2 * 4.4721359 = 2.236 miles

Total distance = (5.385 + 2.236) miles

Total distance driven before getting stuck in traffic = 7.6 miles

please please help me!!​

Answers

Answer:

5x+7

Step-by-step explanation:

every time it goes up by 5 so if that's the case if you 12 and subtract 5 then that's your constant cause that is where it started.

I hope this is good enough:

please help will mark brainliest if correct

Answers

Answer:

Step-by-step explanation:

∠A or ∠SAM

write the linear equation from the given information in slope intercept form (-1,3); slope=-3​

Answers

Answer:

y = -3x

Step-by-step explanation:

The standard expression of equation of a  line in slope-intercept form is expressed as;

y = mx+c

m is the slope

c is the intercept

Given

slope m = -3

Point (x, y) = (-1, 3)

x = -1 and y = 3

Get the intercept

To get the intercept c, we will substitute the given values into the equation above to have;

y = mx+c

3 = -3(-1)+c

3 = 3 + c

c = 3-3

c = 0

Substitute m = -3 and c = 0 into the equation above;

y = mx+c

y = -3x+0

y = -3x

Hence the required linear equation is y = -3x

PRE/POST ASSESSMENT
Hector was making a solution. He put the components of the solution into a
beaker. Hector wanted to increase the amount of his solution and at the same
time keep the composition of the solution the same. The new solution will have
84 kilograms of water.
What will be the mass of the sugar in the new solution, in kilograms?
Hector's Solution
Component
Mass
Sugar
9.6 kg
Salt
7.0 kg
A 24.6
Water
12.0 kg
B
39.6
с
49.0
D
67.2
E
98.0

Answers

Answer:

oh wow thats alot

Step-by-step explanation:

what is an art and a science that deals with the collection,organization,creative presentation and analysis of data? A.physics B.statistics C. biology D.sampling​

Answers

Answer:

The answer is B. Statistics

Pls I need help with this geometry problem. It's due today.

Answers

Step-by-step explanation:

Yz / RT = SZ / ST

2X +2 / 3X -7 = 35 / 40= 7 / 8

8( 2x+2) = 7( 3x-7 )

16 x +16 = 21x 49

5x = 65

x =13

YZ = 2×13 +2 = 28

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