1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sp2606 [1]
3 years ago
12

Solve for K 2(k - 5) + 3k = k + 6

Mathematics
1 answer:
Alexandra [31]3 years ago
3 0

Answer:

k = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

2(k - 5) + 3k = k + 6

<u>Step 2: Solve for </u><em><u>k</u></em>

  1. Distribute 2:                               2k - 10 + 3k = k + 6
  2. Combine like terms:                  5k - 10 = k + 6
  3. Subtract <em>k</em> on both sides:          4k - 10 = 6
  4. Add 10 on both sides:               4k = 16
  5. Divide 4 on both sides:             k = 4

<u>Step 3: Check</u>

<em>Plug in k into the original equation to verify it's a solution.</em>

  1. Substitute in <em>k</em>:                    2(4 - 5) + 3(4) = 4 + 6
  2. (Parenthesis) Subtract:       2(-1) + 3(4) = 4 + 6
  3. Multiply:                               -2 + 12 = 4 + 6
  4. Add:                                     10 = 10

Here we see that 10 does indeed equal 10.

∴ k = 4 is the solution to the equation.

You might be interested in
Consider this quotient.
tekilochka [14]
(x+3)(x-3)(2x+1)
————————
(x+7)x
4 0
2 years ago
20. Determine whether the given points are on the graph of y = 3x + 2.
ivolga24 [154]

Answer:

The points that were given are not on the graph of y=3x+2.

Step-by-step explanation:

The slope is 3 and the y-intercept is 2 so on the graph you rise three times from the point (0,0) to (0,3) then you run twice to the right so your first plot would be (2,3). After following the same process the next three plots would be (4,6),(6,9),&(8,12). So those plots that were given are incorrect. Remember y=mx+b

Mx is your slope to rise with and b is your y-intercept to run with.

Rise/run. I just put the important stuff in bold.

Hope this helped you out! Ask any question if you don't understand below and I'll get back to you.

7 0
3 years ago
What is the value of x?
Lunna [17]

Answer:

x = 23 degrees

Step-by-step explanation:

sin theta = opposite side/ hypotenuse

sin x= 9/23

Take the arcsin of each side

arcsin( sinx) = arcsin (9/23)

x = arcsin (9/23)

x=23.03568411

Rounding to the nearest degree

x = 23 degrees

4 0
4 years ago
What is the image point of (2,7) after a translation left 4 units and up 2 units?
MrRissso [65]

Answer:

Coordinates of the image point → (-2, 9)

Step-by-step explanation:

If a point (x, y) is translated by 'h' units left and 'k' units up then the rule for the translation will be,

(x, y) → (x - h, y + k)

Rule for the translation of a point (2, 7) by shifting 4 units left and 2 units up will be,

(2, 7) → (2 - 4, 7 + 2)

        → (-2, 9)

Coordinates of the image point → (-2, 9)

7 0
3 years ago
If (x) = 3х + 2, what is (5)?<br> ОА. 10<br> OB. 1<br> Ос. 13<br> OD. 17.
Nat2105 [25]

Answer:

D

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x)

f(5) = (3 × 5) + 2 = 15 + 2 = 17 → D

3 0
3 years ago
Read 2 more answers
Other questions:
  • What did the wall say to the bookshelf puzzle time
    10·2 answers
  • for the first 18 days of the month, buffet dinner generate $11,800 in sales. The buffet sale target for the month is $18,650. Gi
    10·1 answer
  • The College Board SAT college entrance exam consists of three parts: math, writing and critical reading (The World Almanac 2012)
    12·1 answer
  • If the figure above shows the graph of the function F, where f(x) = x^2 + 1, if the graph Gis the same as the reflection of abou
    9·1 answer
  • In​ 2009, the national debt of a government was about ​$10.5 trillion. Using 308.0 million as the population for that​ year, abo
    13·1 answer
  • A student attempted to generate an equivalent expression using the distributive property, as shown below:
    6·2 answers
  • Can someone help me with this? I couldn't understand the rest
    15·1 answer
  • Solved! ;) Thank you.
    6·1 answer
  • ??????whats the answer
    9·1 answer
  • Which of the following statements are true?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!