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
Marat540 [252]
3 years ago
13

Solve |3k-2|=2|k+12|

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0

Answer:

k = 26   or   k = -\dfrac{22}{5}

Step-by-step explanation:

|3k - 2| = 2|k + 12|

\dfrac{|3k - 2|}{|k + 12|} = 2

|\dfrac{3k - 2}{k + 12}| = 2

3k - 2 = 2(k + 12)   or   3k - 2 = -2(k + 12)

3k - 2 = 2k + 24   or   3k - 2 = -2k - 24

k = 26   or   5k = -22

k = 26   or   k = -\dfrac{22}{5}

You might be interested in
AKAJAXOSPAPXODAOAPA HELP
Leya [2.2K]

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

<em>I </em><em>multiplied</em><em> </em><em>everything</em><em> </em><em>by </em><em>100 </em><em>to </em><em>eliminate</em><em> </em><em>the</em><em> </em><em>decimals</em><em>.</em>

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. <em>I </em><em>used </em><em><u>r </u></em><em>so </em><em>as </em><em>not</em><em> to</em><em> </em><em>mix </em><em>up </em><em>o </em><em>with </em><em>0</em><em>.</em><em> </em>

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

7 0
3 years ago
Draw a model and write an equation to represent 4 times as many as 3 is 12 explain your work
trasher [3.6K]
4x3=12. Think of it like this... 4 times as many as 3 is 12 (x)
(=)

So 4 times is 4 multiplied by....... 3 is just 3.... is means equals.... and the answer is 12. Your welcome, I hope I helped.
7 0
3 years ago
Read 2 more answers
1.
photoshop1234 [79]

Answer:

0.923

Step-by-step explanation:

There are 13 total marbles. (12 Purple Marbles + One Blue Marble)

The total events are 13 and the number of preferred events is 12.

\frac{12}{13}= 0.92307692307 ≈ 0.923

So there should be a 0.923 chance that a purple marble is picked.

3 0
3 years ago
Read 2 more answers
If the pond has a radius of 6.5 ft how much fencing will he need
andre [41]
6.5 times 2 then that time pi or 3.14
5 0
3 years ago
The lifespan of a monarch butterfly is about 9 months. Assuming a 30-day month, how many minutes old is the butterfly?
Artyom0805 [142]

Answer:

So 9 months is 273 days and 394200 minutes so if the butterfly spends  30 days means one month so it is 43800 minutes old .

hope it gonna help you.

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • I need someone whose willing to help me with the other 100 questions i dont know (not joking) BUT PLS HELLPPPP
    5·1 answer
  • A=1/2 (b+B)h. Find the area of a trapezoid whose height is 6m, small base is 12 m, and large base us 18 m
    11·1 answer
  • For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than
    13·1 answer
  • Graph the solution...please helppp me
    7·1 answer
  • Kevan earns a net salary of $55,670 per year and pays a tax rate of 21%. How much income tax does Kevan pay? What is Kevan's sal
    5·1 answer
  • If sin Θ=-3/5 and the angle is in quadrant IV, what is cot Θ?
    5·1 answer
  • Can someone help me please ASAP?
    9·1 answer
  • 9=2+x <br><br> Please show work (:
    6·2 answers
  • HELP 1,2 AND 3 PLEASEEEEEEE
    15·1 answer
  • Calculus - need work shown
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!