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
MrRissso [65]
3 years ago
11

What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26

Mathematics
1 answer:
Elena L [17]3 years ago
3 0

Answer:

x = 26

Step-by-step explanation:

Given

\frac{1}{3} (x - 2) = \frac{1}{5} (x + 4) + 2

Multiply through by 15 to clear the fractions

5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides

5x - 10 = 3x + 12 + 30, that is

5x - 10 = 3x + 42 ( subtract 3x from both sides )

2x - 10 = 42 ( add 10 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

You might be interested in
As your sixteenth birthday approaches you are looking for ways to make money so you can buy a used car. Currently, you earn $10
Eduardwww [97]

A. Personally if i was given these 2 options i would take the choice of drawing 2 bills from the bag per week.

B. Yes, i do not think pulling 2 bills from the bag is a good way to make money.

A. You could either get 10$ per week or you could get, 2$ 6$ 6$ 10$ 11$ 11$ 15$ 15$ now this depends largely on luck but logically 5 out of 9 times you will get 10 dollars or more so there is a higher chance you get more money from drawing money.

B. It is a good way to make money because 2/9ths of the time you will get 15$ and for every time you get 6$ you will get an equal amount of 15$ and you will get 21$ in the 2 weeks so it adds up, if you have bad luck or do this for a short amount of time then you could be losing out but if you have an average amount of luck then it will be worth the chance.

8 0
3 years ago
Tabitha earned $60 in February. She earned $90 in March.
enot [183]
Increase by 50% monthly
6 0
3 years ago
Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roo
svetlana [45]

Answer:

Option : The product of the roots is - 4

Step-by-step explanation:

3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\

Therefore the roots are -4 and 1

The product of the roots are -4 x 1 = -4

5 0
3 years ago
PLEASE HELP ME ON THIS QUESTION I DONT GET IT
nikdorinn [45]
The GCF is the first answer
4 0
3 years ago
How old am i if 400 reduced by 4 times my age is 144
Airida [17]

Answer:

400 divied by 4 is 144

so ur 14?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is 8 1/2 rounded to the nearest half? (HELP I NEED ANSWER NOW)
    6·2 answers
  • Laws of sines: the ambiguous case. I need help solving 3,6&9. Not sure what to do. Someone please help me
    8·1 answer
  • What is the answer for 2n ≤ -6?
    8·1 answer
  • What’s the correct answer?
    8·1 answer
  • Your cell phone bill is automatically deducting $32 from your bank account every month. How much will the deductions total for t
    6·1 answer
  • Eddie finds a good deal on a used car that he likes. He makes a down payment of $450 and pays $199 a month for 36 months. What i
    5·2 answers
  • Students in the marching band sold calendars to raise money for new uniforms. Violet
    5·1 answer
  • Last year, Ted's salary was $42,000. He donated 1/25 of last year's salary to charity. How much did Ted earn last year after his
    11·1 answer
  • The values of x and y vary directly write an equation that relates x and y x = 0.1 y = 0.9
    12·1 answer
  • Hello! i am a bit stumped on this question, it is on angles. have a good day!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!