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oksian1 [2.3K]
3 years ago
9

Change fractions to mixed numbers

Mathematics
2 answers:
GenaCL600 [577]3 years ago
7 0

7and 1/3

18 and 1/8

12 and 1/3

15 and 1/5

hope i could help so sorry if i did not!!

Alja [10]3 years ago
4 0
A-9 2/3 B-3 3/8 C-5 D-4 1/5
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Elasticity of Demand The demand function for a certain brand of backpacks is
Trava [24]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The demand function of a certain brand is given as price P a function of x quantity of goods ( in hundred ) demanded per month. The relation is:

                           P ( x ) = 50 Ln ( 50 / x ).

- The point price elasticity ( E ) of demand is given by:

                           E = \frac{P}{x}*\frac{dP}{dx}  

- Where, dP / dx : is the rate of change of price ( P ) with each hundred unit of good ( x ) is demanded.

- To determine the " dP / dx " by taking the first derivative of the given relation:

                          P ( x ) = 50 Ln ( 50 / x ).

                          d P ( x ) / dx = [ 50*x / 50 ] * [ -1*50 / x^2 ]

                                              = - 50 / x

- Hence the point price elasticity of demand is given by:

                          E = - ( P / x ) * ( 50 / x )

                          E = -50*P / x^2    

- For an inelastic demand, ! E ! is < 1:

                          ! -50*P / x^2 ! < 1

                          50*P / x^2 < 1

                          P < x^2 / 50

- For an unitary demand, ! E ! is =  1:

                          ! -50*P / x^2 !  = 1

                          50*P / x^2 = 1

                          P = x^2 / 50

- For an inelastic demand, ! E ! is > 1:

                          ! -50*P / x^2 ! > 1

                          50*P / x^2 > 1

                          P > x^2 / 50

2)

If the unit price is increased slightly from $50, will the revenue increase or decrease?

- We see from the calculated demand sensitivity d P / dt:

                          d P ( x ) / dx = - 50 / x

- We see that as P increases the from P = $50, the quantity of goods demanded would be:

                          50 = 50 ln(50/x)

                           1 = Ln ( 50 / x )

                           50/x = e

                           x = 50 / e

Then,

                          d P ( x ) / dx = - 50 / ( 50 / e )

                          d P ( x ) / dx = - e

- We see that if price slightly increases from $ 50 then the quantity demanded would decrease by e (hundreds ) goods.

- The decrease in the quantity demanded is higher than the increase in price. The revenue is given by the product of price P ( x ) and x:

                Revenue R ( x ) = P ( x ) * x

                                = 50*x*ln(50/x)

Then the product of price and quantity goods also decreases; hence, revenue decreases.

8 0
3 years ago
A school has 600 students. If 5%<br> are absent, how many students are<br> absent?
qwelly [4]

Answer:

30 students are absent.

Step-by-step explanation:

5%=0.05

0.05*600=30

8 0
3 years ago
Read 2 more answers
Please use the figure below to solve for both x and y
kkurt [141]

Answer:

x=10°

y = 12°

Step-by-step explanation:

<TSV = 5x + 4x = 90°

=> 9x = 90°

Divide by 9,

x = 10°

<RSU = 10y + 10° + 5x = 180°

=> 10y + 10° + 5*10° = 180°

=> 10y + 10° + 50° = 180°

=> 10y + 60° = 180°

Subtract 60° on both sides,

10y = 180° - 60° = 120°

Divide by 10,

y = 120° / 10 = 12°

3 0
3 years ago
IM GIVING BRAINIEST TO THE FIRST CORRECT ANSWER !!! HURRY.
dexar [7]

Answer:

-1,3

Step-by-step explanation:

1 left and 3 up

8 0
3 years ago
Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chi
boyakko [2]

The inequality that correctly represents this scenario is given as follows:

2x + 5y \leq 25

The graph is given at the end of the question.

<h3>What is a system of inequalities?</h3>

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of chocolate chips purchased.
  • Variable y: number of pecans sold.

Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

2x + 5y \leq 25

More can be learned about a system of inequalities at brainly.com/question/3656398

#SPJ1

6 0
2 years ago
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