DeShawn is selling tickets to a play. Adult tickets cost $13 each and student tickets cost $9 each. After one day of sales, DeShawn sold 23 tickets and took in a total of $271. How many student tickets did DeShawn sell?

Answer:

x = 4

Step-by-step explanation:

6x - 8 = 4x

Bringing all the x's to one side and the whole number to the other,

6x - 4x = 8

2x = 8

Therefore, x = 4

Answer:

6x-8=4x

Bring over 4x to the other side of the equation

2x-8=0

2x=8

x=4

Answer:it is 10%

Step-by-step explanation:

Answer:

[tex]\int\frac{x^{4}}{x^{4} -1}dx = x + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1)-\frac{1}{2} arctanx + c[/tex]

Step-by-step explanation:

[tex]\int\frac{x^{4}}{x^{4} -1}dx[/tex]

Adding and Subtracting 1 to the Numerator

[tex]\int\frac{x^{4} - 1 + 1}{x^{4} -1}dx[/tex]

Dividing Numerator seperately by [tex]x^{4} - 1[/tex]

[tex]\int 1 + \frac{1}{x^{4}-1 }\, dx[/tex]

Here integral of 1 is x +c1 (where c1 is constant of integration

[tex]x + c1 + \int\frac{1}{(x-1)(x+1)(x^{2}+1)}\, dx[/tex]----------------------------------(1)

We apply method of partial fractions to perform the integral

[tex]\frac{1}{(x-1)(x+1)(x^{2}+1)}[/tex] = [tex]\frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{x^{2} + 1}[/tex]------------------------------------------(2)

[tex]\frac{1}{(x-1)(x+1)(x^{2}+1)} = \frac{A(x+1)(x^{2} +1) + B(x-1)(x^{2} +1) + C(x-1)(x+1)}{(x-1)(x+1)(x^{2} +1)}[/tex]

1 = [tex]A(x+1)(x^{2} +1) + B(x-1)(x^{2} +1) + C(x-1)(x+1)[/tex]-------------------------(3)

Substitute x= 1 , -1 , i in equation (3)

1 = A(1+1)(1+1)

A = [tex]\frac{1}{4}[/tex]

1 = B(-1-1)(1+1)

B = [tex]-\frac{1}{4}[/tex]

1 = C(i-1)(i+1)

C = [tex]-\frac{1}{2}[/tex]

Substituting A, B, C in equation (2)

[tex]\int\frac{x^{4}}{x^{4} -1}dx[/tex] = [tex]\int\frac{1}{4(x-1)} - \frac{1}{4(x+1)} -\frac{1}{2(x^{2}+1) }[/tex]

On integration

Here [tex]\int \frac{1}{x}dx = lnx and \int\frac{1}{x^{2}+1 } dx = arctanx[/tex]

[tex]\int\frac{x^{4}}{x^{4} -1}dx[/tex] = [tex]\frac{1}{4} ln(x-1)[/tex] - [tex]\frac{1}{4} ln(x+1)[/tex] - [tex]\frac{1}{2} arctanx[/tex] + c2---------------------------------------(4)

Substitute equation (4) back in equation (1) we get

[tex]x + c1 + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1) - \frac{1}{2} arctanx + c2[/tex]

Here c1 + c2 can be added to another and written as c

Therefore,

[tex]\int\frac{x^{4}}{x^{4} -1}dx = x + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1)-\frac{1}{2} arctanx + c[/tex]

Answer:

0

Step-by-step explanation:

0/5 is 0

Anything divided by zero is zero.

Answer:

Your answer:0/5 =0

Step-by-step explanation:Learned it in school... can you please mark me brainliest?!?

Answer:

Average rate of change= 3

Step-by-step explanation:

Recall the definition of average rate of change of a function [tex]f(x)[/tex] in an interval [tex][a,b][/tex]:

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

In your case:

[tex]f(x) = 3x+4[/tex], and the interval  [tex][a,b][/tex] i  [tex][2,6][/tex], therefore:

Average rate of change = [tex]\frac{f(6)-f(2)}{6-2}=\frac{f(6)-f(2)}{4}[/tex]

Now we evaluate the function at the two requested points:

[tex]f(x)=3x+4\\f(6)=3(6)+4=18+4=22\\f(2)=3(2)+4=6+4=10[/tex], then [tex]f(6)-f(2)=22-10=12[/tex]

So finally the Average rate of change is: [tex]\frac{f(6)-f(2)}{6-2}=\frac{12}{4} =3[/tex]

Answer:

dividing the number by what?

Answer:

B. 4

Step-by-step explanation:

The degree of the polynomial (the exponent of the highest term) is the total number of roots (including imaginary roots).

The degree of this polynomial is 4, so there are 4 roots.

Answer:

probably answer c

Step-by-step explanation:

Answer:

6/10

Step-by-step explanation:

Answer:

the ratio as a fraction is 6

10

[tex]s = {a}^{2} [/tex]

[tex]252 = {a}^{2} [/tex]

[tex]a = \sqrt{252} [/tex]

[tex]a = 15.87[/tex]

That's how I did it, I don't know if it's right or not.

HI umm.. I can see the thing that you need help with sorry not trying to be rude but what do you need help with?

Answer:

The number of children attending = 324

The number of adults attending  = 176.

Step-by-step explanation:

Here, the total number of people attending = 500

Let us assume the umber of children attending the breakfast = m

So, the number of adults attending the breakfast = 500 - m

Cost of ticket for each children  = $12.95

So, the cost of m children's tickets = m x ( Cost of 1 children ticket)

=  m x ( $12.95)  = 12.95 m .... (1)

Cost of ticket for each adult  = $17.95

So, the cost of (500 -m)  adults's tickets

= (500 - m) x ( Cost of 1 adult ticket)    = (500 -m) x ( $17.95)  

 = 8,975 - 17.95 m     .... (2)

Now, the total earnings from the total ticket sold = $7355

So, The earning from ( Adult's + children's tickets)  = $7355

⇒  12.95 m  +  8,975 - 17.95 m = $7355

or, - 5 m = 7355 - 8975 =   -1620

or, m = 1620/5 = 324

⇒  m =324

Hence the number of children attending =  m = 324

The number of adults attending = 500 - m = 500 - 324 = 176.

Final answer:

There were 176 adults and 324 children present.

Explanation:

We are given the prices of adult and child tickets, as well as the total revenue and number of people. By setting up two equations, we can solve for the number of adults and children. Let's define adults as A and children as C.

From the given information, we can set up the following equations:

The total revenue from the tickets is $7355: 17.95A + 12.95C = 7355

We can use the substitution or elimination method to solve these equations. If we express C from the first equation as C = 500 - A and substitute it into the second equation, we get:

17.95A + 12.95(500 - A) = 7355

Which simplifies to:

17.95A + 6475 - 12.95A = 7355

Combining like terms, we get:

5A = 880

Thus:

A = 176

Substituting A back into the equation for C, we have:

C = 500 - 176 = 324

Therefore, there were 176 adults and 324 children at the Disney breakfast event.

Answer:

Then,

y=10-8

y=2

Step-by-step explanation:

solve the equation

Answer:

Step-by-step explanation:

-10+8= -2

Answer:

r=121/148 or r=0.81756

Step-by-step explanation:

-30=1/4-37r

37r=1/4-(-30)

37r=1/4+30

37r=1/4+120/4

37r=121/4

r=(121/4)/37

r=(121/4)(1/37)

r=121/148

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

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You can learn more about the equations of parallel lines in brainly.com/question/8628615

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Using substitution method, we can see the system of equation has no solution and graphically, the lines are parallel to each other and don't intersect.

To solve the system of equations using the substitution method, we can solve one equation for one variable and substitute it into the other equation.

Let's start by solving the second equation for x:

x - 2y = 10

x = 2y + 10

Now we substitute this expression for x in the first equation:

3x - 6y = -12

3(2y + 10) - 6y = -12

6y + 30 - 6y = -12

30 = -12

Since the equation 30 = -12 is not true, we have reached a contradiction. This means that the system of equations has no solution.

Regarding the two lines in this system of equations, we can observe that they are parallel and they don't intersect with one another.

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Answer:

C

Step-by-step explanation:

I would like to say c because it could land on anyone at any given time. I wish I knew a definite answer.

Answer:

The probability of landing on two is twice the probability of landing on 3.

Step-by-step explanation:

The reason for this is because the section 2 is twice the size of section 3 it means that the probability of landing on two is twice the probability of landing on number 3.

Answer:

180.5

Step-by-step explanation:

2z=361

z=361/2=180.5

The answer is v= -8x/-xy+9

Here is the step by step process (This is going to be long):

1.  9v+8x=vxy

Multiply both sides by vx

2.  9v+8x+−vxy=vxy+−vxy

−vxy+9v+8x=0

Add -vxy to both sides

3.  −vxy+9v+8x+−8x=0+−8x

−vxy+9v=−8x

Add -8x to both sides

4.  v(−xy+9)=−8x

Factor out the variable v

5.  v(-xy+9)/-xy+9 = -8x/-xy+9

v = -8x/-xy+9

Divide both sides by -xy+9

Answer:

y = 12x

Step-by-step explanation:

The graph shown on the coordinate plane passes through the points (0,0) and (2,24).

The equation of the line passing through the origin is

[tex]y=mx[/tex]

To find m substitute coordinates of point (2,24):

[tex]24=2m\\ \\m=12[/tex]

So, the equation of proportioanl relationship is

[tex]y=12x[/tex]

1. The graph shows straight line passing through the origin, so this graph represents the proportional relationship.

2. The equation [tex]y=12x[/tex] determines proportional relationship, because 12 is the coefficient of direct proportionality and you can determine y for every given x multiplying by this coefficient of proportionality.

Answer:

y = 12

Step-by-step explanation:

slope = rise/run

slope = 24/2

slope = 12

y-intercept = starts at (0,0)

equation = y = mx + b

equation = y = 12x + 0

Answer:

The time taken by engine of the car to accelerate is 3.24 seconds

Step-by-step explanation:

Given as :

The mass of the car = 1200 kg

The Force applied by engine to accelerate = 10, 000 N

The change in velocity = [tex]v_2[/tex] -  [tex]v_1[/tex] = 27 m/s

Let The time taken by engine = t sec

And Let The acceleration = a  m/s²

Now,

∵ Force is define as the product of mass and acceleration

I.e F = mass × acceleration

or, F = 1200 × a

or, 10,000 =  1200 × a

∴ a = [tex]\frac{10,000}{1200}[/tex]   m/s²

I.e a = 8.33 m/s²

Now , Again

∵ Acceleration is define as the rate of change of velocity

I.e a = [tex]\dfrac{v_2-v_1}{t}[/tex]

or, a =  [tex]\dfrac{27-0}{t}[/tex]

Or, t =  [tex]\dfrac{27}{a}[/tex]

I.e t = [tex]\dfrac{27}{8.33}[/tex]

∴ t = 3.24 sec

So, The time taken = 3.24 seconds

Hence The time taken by engine of the car to accelerate is 3.24 seconds . Answer

Answer:

The speed of River's mom drove for 10 miles distance is 0.234 mph.

The speed of  River's mom drove for 25 miles is 10.234 mph.

Step-by-step explanation:

Given as :

The first distance cover by River's mom = 10 miles

The rate of speed = x mph

The second distance cover by river's mom = 25 miles

The rate of speed = x + 10 mph

The total driving time = 45 min

Now, According to question

[tex]Time = \frac{Distance}{Speed}[/tex]

So, [tex]45 =  \frac{10}{x}+\frac{25}{x+10}[/tex]

Now dividing by 5 on both side we get;

[tex]9=\frac{2}{x}+\frac{5}{x+10}\\\\9= \frac{2(x+10)+5x}{x(x+10)}\\\\9= \frac{2x+20+5x}{x^2+10x}\\\\9(x^2+10x)= 7x+20\\9x^2+90x-7x-20=0\\9x^2+83x-20=0[/tex]

Solving this quadratic equation we get;

[tex]x=\frac{-b\±\sqrt{4ac}}{2a}[/tex]

[tex]x=\frac{-83\±\sqrt{4\times9 \times 20}}{2\times 9}\\\\x= \frac{-83\±\sqrt{720}}{18}\\ \\x= \frac{-83+87.22}{18} \ \ \ or \ \ x = \frac{-83-87.22}{18}\\\\x= 0.234 \ \ \ or\ \ \ \ x= - 9.4567[/tex]

Since speed cannot be in negative hence we will consider x= 0.234

So, The speed for 10 miles distance = x = 0.234 mph

and The speed of 25 miles = x + 10 = 0.234 + 10 = 10.234 mph

Hence The speed of River's mom drove for 10 miles distance is 0.234 mph

and The speed of  River's mom drove for 25 miles is 10.234 mph  

Answer:

h(x) = 10x

Step-by-step explanation:

given:

f(x) = 3x-1 and g(x)= 4x-2

h(x) = 2 f(x) + g(x)

= 2 (3x+1) + (4x-2)

= 6x + 2 + 4x - 2

= 10x

The question revolves around combining functions in mathematics. To solve for h(x) when h(x) is equal to 2f(x) + g(x), we substitute f(x) and g(x) values into the equation for h(x) and simplify the resulting expression. Our calculated function h(x) = 10x - 4.

This is a question about combining function operations. We have been given two functions f(x) = 3x-1 and g(x) = 4x-2, and asked to find h(x) = 2f(x) + g(x).

To solve it, we must substitute f(x) and g(x) into our equation for h(x):

So, the function h(x) when h(x) is = 2f(x) + g(x) is h(x) = 10x - 4.

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Answer:

The sum of the first 5 terms of the series is 77.

Step-by-step explanation:

1. Let's review the information provided to us for solving the sum of the first 5 terms of the series:

1st term = 7

2nd term = - 14

3rd term = 28

4th term = - 56

2. Let's solve the sum of the first 5 terms of the series:

Aₙ = Aₙ₋₁ * -2 ; A₁ = 7

A₁ = 7

A₂ = A₁ * -2 = 7 * - 2 = - 14

A₃ = A₂ * - 2 = -14 * - 2 = 28

A₄ = A₃ * - 2 = 28 * - 2 = - 56

A₅ = A₄ * - 2 = -56 * - 2 = 112

Sum of the first 5 terms of the series = 7 - 14 + 28 - 56 + 112

Sum of the first 5 terms of the series = 77

Answer:

16.5 square feet

Step-by-step explanation:

The logo consists of

The area of rectangle:

[tex]A_{rectangle}=1.5\ ft\times 3\ ft=4.5\ ft^2[/tex]

The area of trapezoid:

[tex]A_{trapezoid}=\dfrac{3\ ft+4\ ft}{2}\times 3 \ ft=3.5\ ft\times 3 \ ft=10.5 \ ft^2[/tex]

The area of triangle:

[tex]A_{triangle}=\dfrac{1}{2}\times 1.5\ ft\times 2 \ ft=1.5\ ft^2[/tex]

Hence, the area of logo:

[tex]A=A_{rectangle}+A_{trapezoid}+A_{triangle}=4.5\ ft^2+10.5\ ft^2+1.5\ ft^2=16.5\ ft^2[/tex]

Answer: 10

Step-by-step explanation:

m divided by 10 = 1 so m is 10

n divided by 10 = 4 so n is 40

m + n is equal to 40 + 10 which is 50.

Divide 50 by 5 and you get 10!

Answewell 6 divided by 2 is great than 1 its 3 if this helps?

Step-by-step explanation:

The question presents an inequality, A/6 > 1. Solving this inequality yields A > 6, meaning any number greater than 6 will satisfy this equation.

The equation given in the question is A divided by 6 is greater than 1. This can be written in mathematical terms as A/6 > 1.

To find which numbers could represent A, you have to solve this inequality. As a first step, you can multiply both sides of the inequality by 6 to isolate A. This gives us A > 6 * 1, which simplifies to A > 6.

Therefore, any number greater than 6 should satisfy the inequality A/6 > 1.

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Tax: $2

Total: $27

Step-by-step explanation:

Given,

Price of boots = $25

Tax = 8%

Amount of tax = 8% of price of boots

[tex]Amount\ of\ tax = \frac{8}{100}*25\\Amount\ of tax=\frac{200}{100}\\Amount\ of\ tax=\$2[/tex]

Total = Price of boots + Tax amount

[tex]Total = 25+2=\$27[/tex]

Tax: $2

Total: $27

Keywords: sales tax, addition

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Answer: 9/20

Step-by-step explanation:

9/10 is given as the fraction of the crates filled with animals , 1/2 of this fraction holds dog , that is

1/2 of 9/10

= 1/2 x 9/10

= 9/20

Therefore the fraction of the total number of crates holding dog is 9/20

Answer:

x=2, y=6. (2, 6).

Step-by-step explanation:

y=2x+2

y=-x+8

-------------

2x+2=-x+8

2x-(-x)+2=8

2x+x=8-2

3x=6

x=6/3

x=2

y=2(2)+2=4+2=6

Answer:

$57.20

Step-by-step explanation:

So the card starts off with $90, we spend $4.10 each day

To figure this out quick, take $4.10 and multiply it by 8

$4.10 x 8 =$32.80

Now subtract:

$90 - $32.80 = $57.20