Five friends built a marble tower. The marble tower had a curved track. The track was designed so that the marbles would move down the track in a circular path. The track ended on the floor. Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor. This is what they said:

Solution :

Let x = number of coach class tickets sold per day on $ 10 reduced price

y = number of the business class tickets sold per day on $ 50 reduced per price.

Number of the coach class tickets sold = 20 per day at a price of $ 250

Number of the business class tickets sold = 10 per day at a price of $ 750

Decrease in the price of coach class tickets by $ 10 increases the number of tickets sold by 4 per day

Decrease in the price of business class tickets by $ 50 increases the number of tickets sold by 2 per day.

Therefore, the coach price, p(x) = 250 - 10x

Business class price, p(y) = 750 - 50y

Coach tickets, q(x) = 2 + 4x

Business class tickets, q(y) = 6 + 2y  

Revenue R(x, y) = p(x) q(x) + q(y) q(y)

R(x, y) = (250-10x)(20+4x)+(750-50y)(6+2y)

R(x) = (250-10x)(0.4)+(20+4x)(-10)+0 = 0

1000-40x-200-40x=0

80x = 800

x = 10

R(y) = 0 + (750 - 50y)(0.2) + (6+2y)(-50) = 0

1500 - 100y+(-300-100y) = 0

200 y = 1200

y = 6

P(x) = 250 - 10(10) = $ 150

P(y) = 780-50(6) = $450

q(x) = 20 + 4(10) = 60

q(y) = 6 + 2(6) = 18

Maximum revenue = 150 x 60 + 450 x 18

                              = 9000 + 8100

                              = $ 17100

Answer:

8y^3+6y^2-29y+15

Step-by-step explanation:

the correct expression is

(4y − 3)(2y^2 + 3y − 5)

Given data

We have the expression

(4y − 3)(2y^2 + 3y − 5)

let us open bracket

8y^3+12y^2-20y-6y^2-9y+15

Collect like terms

8y^3+12y^2-6y^2-20y-9y+15

8y^3+6y^2-29y+15

Answer:

12 /7

Step-by-step explanation:

theres no quotient

Answer:

The answer is:  (12/7) OR  (1 5/7) <-- (SIMPLIFIED)

Step-by-step explanation:

First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would  simplify  the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12)  and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)

~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~

Answer:

Hello! answer: x = 4

Step-by-step explanation:

Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!

180 degree line-

180 = (8x + 120)

-120

60 = 8x

/8

7.5

x = 7.5

7(7.5) = 52.5

Answer:

6 Months where she borrowed less than 10,

and he borrowed the most books in August.

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

I calculated it logically

Answer:

4f^2-11

Step-by-step explanation:

Answer:

pretty sure the answer is electrons  so D

Step-by-step explanation:

Electrons are particles that surround the nucleus of an atom like a cloud

Answer:

80%, 41/50, 0.83

Step-by-step explanation:

80% = 0.80

41/50 = 0.82

0.83 = 0.83

Answer:

the future diary  

Step-by-step explanation:

I watched Future Diary on Hulu, its a really good anime, its more of a yandere type of anime, hope you enjoy it!

Answer:

It would take 2 hours for Isaac to earn $32

Step-by-step explanation:

16*2=32

Answer:

1.5 feet

Step-by-step explanation:

V = base area x height

divide the two members by the base area

height = V/ base area

height = 13.5 / 9 = 1.5 feet

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.

In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.

the answer is x=4 4(2×8)

Answer:

area of triangle =1/2 x b x h

Step-by-step explanation:

=1/2 x 7 x 12

= 1/2 x 84

= 42 units

9514 1404 393

Answer:

  B. (3/2x, 3/2y)

Step-by-step explanation:

It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:

  3/2

Dilation about the origin multiplies each coordinate value by the scale factor:

  (x, y) ⇒ (3/2x, 3/2y)

Answer:

t = 45d

Step-by-step explanation:

Number of days = d

Number of minutes = t

Number of minutes per day = 45 minutes

Total number of minutes of practice after d number of days will be :

t = number of minutes per days * Number of days

t = 45 * d

t = 45d

Answer:

11.55 years

Step-by-step explanation:

Given data

Principal= $3000

Rate= 6%

Final Amount= $6000

expression for the time is given as

t = ln(A/P) / r

Substitute

t= ln(6000/3000)/0.06

t= ln(2)/0.06

t= 0.693/0.06

t= 11.55 years

Hence the time is 11.55 years

Answer:

Number of seeds in each cup = 5 seeds in each cup

Step-by-step explanation:

Given:

Total number of seeds Liam has = 60 seed

Total number of plastics cup = 12 cups

Find:

Number of seeds in each cup

Computation:

Number of seeds in each cup = Total number of seeds Liam has / Total number of plastics cup

Number of seeds in each cup = 60 / 12

Number of seeds in each cup = 5 seeds in each cup

Answer:

okay!

Step-by-step explanation:

its B

Answer:

C)

Step-by-step explanation:

we eliminate these two options

because remember quadratic function standard form

[tex] \displaystyle f(x) = {ax}^{2} + bx + c[/tex]

recall that, if

but a is positive so it won't flip upside down therefore,

these two are our answer

it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:

it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so

likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so

hence our answer is C

Answer:

(-1, -4) is a solution

Step-by-step explanation:

3x + 3y ≤ -6

plug in point (-1, -4)

3(-1) + 3(-4) ≤ -6

-3 + -12 ≤ -6

-15 ≤ -6    true

 (-1, -4) is a solution

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

scam . smď

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The marked angles are "alternate interior" angles, so are congruent.

  (x° +20°) = (4x° -10°)

  30 = 3x . . . . . . . . . . . . . . . divide by °, add 10-x

  10 = x . . . . . . divide by 3

Answer:

B. f and g are reflections of each other about the y-axis.

Step-by-step explanation:

I calculated it logically

Answer:

I think the answer is forth one

Answer:

Step-by-step explanation:

[tex] - |3a + \sqrt{b} | [/tex]

By putting the values of a = -4 , b = 9,

[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]

[tex] = - | - 12 + 3| [/tex]

[tex] = - | - 9| [/tex]

= -(9)

= -9 (Ans)