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
Vladimir79 [104]
3 years ago
10

1/3(x+2/3) =1/6(x-4) thanks

Mathematics
1 answer:
zheka24 [161]3 years ago
4 0
1/3+2/9=1/6x-4/6
3/9+2/9=1/6x-4/6
5/9=1/9x-4/6
5=x-6
x=11
You might be interested in
the school newspaper has a circulation of 500 and sells for $.035 a copy. the students decide to raise the price to increase the
Alik [6]

Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is

.35+.05x

Let y be the newspaper they sell, then the income will be

y(.35+.05x)

Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be

y=500-20x

Plugging the value of y in the first expression we have that the income will be

\begin{gathered} f(x)=(500-20x)(.35+\text{0}.5x)=175+25x-7x-x^2 \\ =-x^2+18x+175 \end{gathered}

Then the income is given by the function

f(x)=-x^2+18x+175

To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,

\begin{gathered} \frac{df}{dx}=\frac{d}{dx}(-x^2+18x+175) \\ =-2x+18 \end{gathered}

no we equate the derivative to zero and solve for x.

\begin{gathered} \frac{df}{dx}=0 \\ -2x+18=0 \\ -2x=-18 \\ x=\frac{-18}{-2} \\ x=9 \end{gathered}

This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then

\begin{gathered} \frac{d^2f}{dx^2}=\frac{d}{dx}(\frac{df}{dx}) \\ =\frac{d}{dx}(-2x+18) \\ =-2 \end{gathered}

Since the second derivative is negative in the point x=9, we conclude that this value is a maximum of the function.

With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.

Therefore the price to maximize the income is $0.35+$0.45=$0.80.

4 0
1 year ago
HELP PLEASE!!!!!
Furkat [3]

Answer:

b

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
F(x)=24x+7 What is the domain of f
yarga [219]
The domain of f(x) = 24x + 7 is all real numbers except where the expression is undefined. in this case, there is no real number that makes the expression undefined. 

hope this helps, God bless!
7 0
3 years ago
Tim bought 7 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now
suter [353]
81, (x+7)/2 = 44,88-7=x

3 0
3 years ago
Read 2 more answers
In figure qr = 1/3pr. find pq​
BaLLatris [955]

Answer:

PQ = 3.2

Step-by-step explanation:

QR =\frac{1}{3} PR

QR =\frac{1}{3} \times 4.8

QR =1.6

PQ = PR - QR

PQ = 4.8 - 1.6

PQ = 3.2

7 0
3 years ago
Other questions:
  • What would happen to the buying power of your investment after one year if your rate of return was 3% and the rate of inflation
    13·1 answer
  • Colin pays £721.45 a year on his car insurance.
    15·1 answer
  • Suppose that in​ 2008, 945, 350 citizens died of a certain disease. Assuming the population of the country is 332 ​million, what
    11·2 answers
  • Can someone help me!!
    7·1 answer
  • 78 students are in a chamber Orchestra 32 members play wind instruments half of the other members play percussion instruments ab
    13·1 answer
  • HELP ME PLEASE!!!!!!
    15·1 answer
  • To ensure an excellent bond when brazing, the clearance gap between pipe and fitting must be _______ inches.
    5·1 answer
  • £410 is divided between Gordon, Malachy & Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as
    5·1 answer
  • HELP FAST I HAVE 3 MINUTES SHOW A LITTLE WORK PLEASE! thank you sm thank you thank you!
    7·1 answer
  • What is an equation of the line that passes through the points (6, 4) and(6,−6)?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!