Tickets to a Broadway show cost $35 for adults and $27 for children. The total receipts for 1229 tickets at one performance were $40335. How many adult and child tickets were sold?

Answer:

Step-by-step explanation:

B is the answer

Answer:

[tex] - \frac{2[1 - x]}{3} = g[f(x)] \\ \\ \frac{3x}{2 - x} = f[g(x)][/tex]

Step-by-step explanation:

They are not.

For the g[f(x)] function, you substitute ³/ₓ ₋ ₁ from the f(x) function in for x in the g(x) function to get this:

[tex] \frac{2}{ \frac{3}{x - 1}} [/tex]

Then, you bring x - 1 to the top while changing the expression to its conjugate [same expressions with opposite symbols]:

[tex] - \frac{2[1 - x]}{3}[/tex]

You could also do this [attaching another negative would make that positive].

For the f[g(x)] function, ²/ₓ from the g(x) function for x in the f(x) function to get this:

[tex] \frac{3}{ \frac{2}{x} - 1}[/tex]

Now, if you look closely, ²/ₓ is written as 2x⁻¹, and according to the Negative Exponential Rule, you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM NEGATIVE TO POSITIVE:

[tex] \frac{3x}{2 - x} [/tex]

When this happens, x leaves the two and gets attached to the three, and 1 gets an x attached to it.

I am joyous to assist you anytime.

Answer:

The C-intercept, 15, means that if Janelle drove 0 miles on a particular day it would cost her 15 dollars to rent the car for that day.

Step-by-step explanation:

The slope, 0.32, means that the cost for renting the car on a particular day increases by 0.32 of a dollar for each mile she drives on that day.

The slope of the equation C=0.32m+15 is 0.32. The slope represents the rate of change in the cost per day for each unit increase in the number of miles Janelle drives. In this case, for every additional mile Janelle drives, the cost of renting the car increases by 0.32 dollars.

Answer:

y = - 9

Step-by-step explanation:

x = 7 is the equation of a vertical line parallel to the y- axis and passing through all points with an x- coordinate of 7

A line perpendicular to it is a horizontal line parallel to the x- axis with equation y = c

Where c is the value of the y- coordinates the line passes through.

The line passes through (5, - 9) with y- coordinate - 9, thus

equation of line is y = - 9

Answer:

42 and 44

Step-by-step explanation:

The even numbers are numbers which can be written as 2n where n is any integer number.

Therefore, two consecutive numbers would be "2n" and "2n + 2"

We then have that

2n + (2n+2) = 86

4n + 2 = 86

4n = 84

n = 21

And the even number 2n is 2(21) = 42.

(We can verify this answer by doing 42 + 44 = 86)

Explanation:

3. ∠2 and ∠3 are a linear pair → definition of a linear pair

4. ∠3 and ∠4 are a linear pair → definition of a linear pair

5. m∠2 +m∠3 = 180° → definition of a linear pair (or angle addition postulate)

6. m∠3 +m∠4 = 180° → definition of a linear pair (or angle addition postulate)

7. m∠2 +m∠3 = m∠3 +m∠4 → substitution property

8. m∠2 = m∠4 → subtraction property

9. ∠2 ≅ ∠4 → definition of congruent angles

_____

A pair of angles is a "linear pair" if they are adjacent and supplementary. ∠2 and ∠3 are adjacent and the non-common legs form a straight line. It isn't clear what your definition of linear pair is and what you need to do to claim that the angles sum to 180°. Above, we have assumed a definition of "linear pair" that includes the facts that → they sum to 180°; → non-adjacent sides form a straight line.

Answer:

85.25

Step-by-step explanation:

155 x (11/20) =85.25 feet

Answer:

Step-by-step explanWe can easily calculate for the height of the prism since all needed measurements are given. Volume of a rectangular prism is expressed by the equation:

V = lwh

where l is the length, w is the width and h is the height of the prism.

655 = 9 (5.2) hation:

h=14ft

Answer:

  0.062

Step-by-step explanation:

The numbers will decrease by 0.001 as you move the the left, so the list of numbers can be found as ...

  3rd number: 0.064

  2nd number: 0.064 -0.001 = 0.063

  1st number: 0.063 -0.001 = 0.062

Answer:

  (x, y) = (-1, 3), (-3, 115), (2, 0)

Step-by-step explanation:

The first two test points are not roots. The last one is a root.

Answer:

2 papers

Step-by-step explanation:

shark stickers : 15

whale stickers : 21

dolphin stickers : 47

papers:40

papers with dolphin stickers: 47

papers with shark stickers: 4, 8 , 12, 16, 20,24,28,32,36, 40 (every fourth paper, multiples of 4 till 40)

40/4 = 10  papers with shark stickers

papers with whale stickers: 5, 10,15, 15, 20, 25,30,35,40 (multiples of 5 till 40)

Papers with the three kinds of stickers : 2 (paper 20 and 40 )

Answer:

2 papers

Step-by-step explanation:

Answer:

20 months

Step-by-step explanation:

Let the number of months be denoted by x.

Then, we shall form two equations to represent the total cost from each dealer. Thus,

2500 + 150x is the cost of the motorcycle from the first dealer.

3000 + 125x is the cost of the motorcycle from the second dealer.

If the costs from the dealers are equal, then

2500 + 150x =3000 +125x

150x- 125x = 3000-2500

        25x = 500

          x = 500/ 25

           x =20 months

Answer:

Step-by-step explanation:

The shorter the term, the lower the amount of interest.

The lower the interest rate, the lower the amount of interest.

The loan that has both a shorter term and a lower interest rate will cost less in interest.

___

The total of payments for the 30-year loan is 396,232.87.

The total of payments for the 20-year loan is 290,013.55.

The amount saved by taking the shorter loan is the difference of these amounts: $106,219.32.

_____

You can use an amortization formula, spreadsheet, or a financial calculator to compute the payments for each loan. The total repayment amount is the product of the monthly payment and the number of them, 360 for the 30-year loan; 240 for the 20-year loan.

Answer:

  60

Step-by-step explanation:

For each 3 blocks Colton placed, Gage place 1, so Colton placed 3/4 of the total number blocks.

  3/4 × 80 = 60

Colton placed 60 blocks on the castle.

Answer:

60

Step-by-step explanation:

Answer:

the answer will be d.PLATO users

The profit is $496.30

a. The revenue function will be calculated thus:

R(x) = (1500 - 3x) × x

R(x) = 1500x - 3x²

b. The cost function will be:

C(x) = 8 × x = 8x

c. The profit function will be:

P(x) = Revenue - Cost

= 1500x - 3x² - (8x)

= 1500x - 3x² - 8x

Divide through by x

= (1500x - 3x² - 8x) / x

= 1500 - 3x - 8

1500 - 3x - 8 = 0

Collect like terms

3x = 1500 - 8.

3x = 1492

x = 1492/3

x = 496.3

The profit is $496.30

Read related link on:

https://brainly.com/question/10921760

Answer:

Each share lost $20 in value over 4 days time

Step-by-step explanation:

$5 loss for 4 days

5 x 4 = 20

$20 loss in 4 days.

Answer:$18.00

Step-by-step explanation:5×3=15

$3+$15=$18

Answer:

Step-by-step explanation:

To

Answer:

The correct answer is the second option.

Step-by-step explanation:

If X + R = S, then X = S - R. You need to subtract each pair:

-2 - 0 = -2

-8 - 3 = -11

0 - (-4) = 4

2 - 5 = -3

Answer:

B

Step-by-step explanation:

Edge2020

Answer:

The answer to your question is letter C

Step-by-step explanation:

A. [9-4x2) + (-4x2y) + 10x2y] + 2xy2  : in this polynomial the first term is not a like term, then this is incorrect.

B. 10x2y + 2xy2 + [(-4x2) + (-4x2y)]  : in this polynomial, the terms that are grouped, are not like terms, then is incorrect.

C. (-4x2) + 2xy2 + [10x2y + (-4x2y)]  ; This polynomial is the right answer because the like terms are grouped.

D. [10x2y + 2xy2 + (-4x2y)] + (-4x2): This polynomial is incorrect because one of the terms that are grouped is not a like term.

Answer:

The domain is (all possible values of x) [tex]\{0,1,2,3,4,5\}[/tex]

The range is (all possible values of f(x)) [tex]\{250,200,150,100,50,0\}[/tex]

Step-by-step explanation:

A contestant on a game show is given $250.  He is asked five questions and loses $50 for every wrong answer.

Let x be the number of wrong answers. Then you get a relationship

[tex]\begin{array}{cc}x&f(x)\\ 0&250\\1&200\\2&150\\3&100\\4&50\\5&0\end{array}[/tex]

The domain is (all possible values of x) [tex]\{0,1,2,3,4,5\}[/tex]

The range is (all possible values of f(x)) [tex]\{250,200,150,100,50,0\}[/tex]

Answer:

down below(hope this helps

Step-by-step explanation:

Answer:

a) 0.4

Step-by-step explanation:

Got it right on quiz

The multiplicative rate of change for the exponential function is 5/2, indicating that the function increases by a factor of 5/2 for each unit increase in x.

The multiplicative rate of change for an exponential function

[tex]\( f(x) = a \times b^x \)[/tex]

is given by the base of the exponential term, b .

In the function

[tex]\( f(x) = 2 \left(\frac{5}{2}\right)^{-x} \),[/tex]

the base of the exponential term is 5/2.

So, the multiplicative rate of change is 5/2

Take the augmented matrix,

[tex]\left[\begin{array}{ccc|c}2&1&-3&-20\\1&2&1&-3\\1&-1&5&19\end{array}\right][/tex]

Swap the row 1 and row 2:

[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\2&1&-3&-20\\1&-1&5&19\end{array}\right][/tex]

Add -2(row 1) to row 2, and -1(row 1) to row 3:

[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&-3&4&22\end{array}\right][/tex]

Add -1(row 2) to row 3:

[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&9&36\end{array}\right][/tex]

Multiply through row 3 by 1/9:

[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&1&4\end{array}\right][/tex]

Add 5(row 3) to row 2:

[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&0&6\\0&0&1&4\end{array}\right][/tex]

Multiply through row 2 by -1/3:

[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\0&1&0&-2\\0&0&1&4\end{array}\right][/tex]

Add -2(row 2) and -1(row 3) to row 1:

[tex]\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&4\end{array}\right][/tex]

So we have [tex]\boxed{x=-3,y=-2,z=4}[/tex].

Answer:

1  0  0  -3

0  1  0  -2

0  0  1  4

  AND

(-3, -2, 4)

Step-by-step explanation:

I don't have a step-by-step explanation because I still don't understand this sh*t myself. The reason I know it's the right answer is because I just got a 30% on my quiz and it shows you the right answers after. Good luck in this class! You're gonna need it.

Answer:

The coordinates of point B are (6,7).

Step-by-step explanation:

Given points are

Blue = A(-4,8)

Purple = M(1,7.5)

Green = B

It is given that point M is the midpoint of point A and B.

Let coordinates of points are (a,b).

Midpoint of two points is

[tex]Midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

[tex]M=(\dfrac{-4+a}{2},\dfrac{8+b}{2})[/tex]

Coordinates of midpoint are (1,7.5).

[tex](1,7.5)=(\dfrac{-4+a}{2},\dfrac{8+b}{2})[/tex]

On comparing both sides we get

[tex]1=\dfrac{-4+a}{2}\Rightarrow 2=-4+a\Rightarrow a=6[/tex]

[tex]7.5=\dfrac{8+b}{2}\Rightarrow 15=8+b\Rightarrow b=7[/tex]

Therefore, the coordinates of point B are (6,7).

Answer:

The expected value is 5.

Step-by-step explanation:

As we can see, X=Y+Z. Then, by the linearity of the expected value operator, we have that

[tex]E(X)=E(Y)+E(Z).[/tex]

Observe that Y and Z have countable sets of outcomes (1,2,3,....) then,

[tex]E(X)=\sum^\infty_{n=1}nP(Y=n)[/tex],

[tex]E(Z)=\sum^\infty_{n=1}nP(Z=n)[/tex],

Then:

[tex]E(Y)=\sum^\infty_{n=1}nP(Y=n)=\sum^\infty_{n=1}n(\frac{1}{2} )^n=\\\\\sum^\infty_{m=1}\sum^\infty_{n=m}(\frac{1}{2} )^n=\sum^\infty_{m=1}(\frac{1}{2} )^{m-1}=\sum^\infty_{m=0}(\frac{1}{2} )^{m}=2.[/tex]

[tex]E(Z)=\sum^\infty_{n=1}nP(Z=n)=\frac{1}{3}\sum^\infty_{n=1}n(\frac{2}{3} )^{n-1}=\frac{1}{3}\sum^\infty_{m=1}\sum^\infty_{n=m}(\frac{2}{3} )^{n-1}[/tex]

Observe that, by the geometric series formula:

[tex]\sum^\infty_{n=m}(\frac{2}{3} )^{n-1}=\sum^\infty_{n=1}(\frac{2}{3} )^{n-1}-\sum^{m-1}_{n=1}(\frac{2}{3} )^{n-1}=3-\sum^{m-1}_{n=1}(\frac{2}{3} )^{n-1}=\\\\3-\sum^{m-2}_{n=0}(\frac{2}{3} )^{n}=3-\frac{1-(\frac{2}{3})^{m-1} }{1-\frac{2}{3}}=3(\frac{2}{3})^{m-1}[/tex]

Therefore

[tex]E(Z)=\frac{1}{3}\sum^\infty_{m=1}\sum^\infty_{n=m}(\frac{2}{3} )^{n-1}=\frac{1}{3}\sum^\infty_{m=1}3(\frac{2}{3})^{m-1} =\\\\ \sum^\infty_{m=1}(\frac{2}{3})^{m-1} = \sum^\infty_{m=0}(\frac{2}{3})^{m} =3.[/tex]

Finally, E(X)=E(Y)+E(Z)=2+3=5.

Using the binomial distribution, it is found that the expected value of the total number of tosses is of 5.

For each coin, there are only two possible outcomes, either it is heads, or it is tails. The outcome of a coin is independent of any other coin, hence the binomial distribution is used to solve this question.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

[tex]E_s(X) = \frac{q}{p}[/tex]

For coin A, we obtain Heads with probability 1/2, hence:

[tex]E_{sA}(X) = \frac{1}{\frac{1}{2}} = 2[/tex]

For coin B, we obtain Heads with probability 1/3, hence:

[tex]E_{sB}(X) = \frac{1}{\frac{1}{3}} = 3[/tex]

2 + 3 = 5, hence, the expected value of the total number of tosses is of 5.

More can be learned about the binomial distribution at https://brainly.com/question/14424710

Answer:

$12.5 per week

Step-by-step explanation:

(300)+12.5 +12.5+12.5+12.5=350

The rate of change in Michael's savings account per week is $12.50.

To find the rate of change in Michael's savings account per week, we need to determine how much the account balance increased per week. We can subtract the initial balance from the final balance and divide that by the number of weeks:

Rate of change per week = (Final balance - Initial balance) / Number of weeks

Using the given information, the rate of change per week is:

(350 - 300) / 4 = 50 / 4 = 12.5

Therefore, the rate of change in Michael's savings account per week is $12.50.

Answer:

The last graph, where the functions intersect at only one point.

Step-by-step explanation:

A system of equations with only one solution is the one that in some point the solutions of each ecuation is exactly the same. In the graphs 1 and 3, where the equations does not intersect each other, the system of equations have no solution. In the second graph, the equations intersect 2 times, so the system of equations have 2 solutions.

Answer:

The last graph:/ D

Step-by-step explanation:

i got it right on the test

Answer:

The answer is the function 3x+4y+5=0 is Slanted

Step-by-step explanation:

To be able to to know if this function is horizontal, vertical or slanted we should look at the gradient.

If the gradient is zero, then the line is horizontal.

If the gradient is infinite, then the line is vertical.

if not, then the line is slanted

We can look the gradient by the general form equation of a line:

y = mx + c

where y = dependent variable, x = independent variable, m = gradient, c = intercept.

With our equation, we can change things around to get the general form equation:

3x + 4y + 5 = 0

4y = 3x - 5

[tex]y = \frac{3}{4}x - \frac{5}{4}[/tex]

Where the gradient is 3/4

Therefore, as the gradient is a number other than zero or infinite, we know that this function is slanted.