A stadium charges $75 for each seat in section A, $50 for each seat in section B, and $40 for section C. There are three times as many seats in section B as in section A. The revenue from selling odd 20,000 seats is 897,500. Write a system to represent the situation.

A. b=3×c
a+b+c=20,000
75a+50b+40c=897,500

B. b=3×a
a+b+c=20,000
75a+50b+40c=897,500

C. a=3×b
a+b+c=20,000
40a+50b+75c=897,500

D. a=3×b
a+b+c=20,000
75a+50b+40c=897,500​

Answers

Answer 1

Answer:

B. b=3×a

a+b+c=20,000

75a+50b+40c=897,500

Step-by-step explanation:

A stadium charges

$75 for each seat in section A

$50 for each seat in section B

$40 for section C.

There are three times as many seats in section B as in section A.

a = 3× b

The revenue from selling odd 20,000 seats is 897,500.

a + b + c = 20,000 seats

Hence,

$75 × a + $50 × b + $40 × c = 897,500

75a + 50b + 40c = 897,500

Hence, the system of equations is :

B. b=3×a

a+b+c=20,000

75a+50b+40c=897,500


Related Questions

3(x + y) + 2x2 + (1 + y)?

Answers

Answer:

7x+4y+1

Don’t low if you wanted it simplified

Answer:

3x + 4y + 5

Step-by-step explanation:

3(x + y) + 2 • 2 + (1 + y)

3x + 3y + 2 • 2 + (1 + y)

3x + 4y + 4 + 1

3x + 4y + 5

Sa se determine termenii de rang 10,15,20 ai progresiei aritmetice :a)-4,-1,2,5,...;b)10,6,2,-2...;c)1/2,1,3/2,2,...;d)-2/3,-2(6),-4 intregi pe langa 2/3

Answers

Answer:

   

Step-by-step explanation:

there are about 100 times more gold atoms in the average human body then uranium atoms about how many uranium atoms are there in the average human body and theres 2 x 10^19 gold atoms in the human body

Answers

Answer:

I'm confused

Step-by-step explanation:

what is the question???

An item is regularly priced at $60. It is on sale for 40% off the regular price. What is the sale price? ​

Answers

Answer: The sale price is $36.

Step-by-step explanation:

40% ÷ 100 = 0.4

0.4 × $60 = $24

$60 - $24 = $36

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

If there is an off of 40% on an item that cost $60.

The regular price of the item is $48.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

105 = 10/100 = 1/10

Example:

50% of 40 is 20.

50/100 x 40 = 20

25% of 100 is 25.

25/100 x 100 = 25.

We have,

Regular price = $60

Off = 40%

Sale price:

= 60 - (40% of 60)

= 60 - (40/100 x 60)

= 60 - (2/5 x 60)

= 60 - (2 x 12)

= 60 - 24

= $48

Thus.

If there is an off of 40% on an item that cost $60.

The regular price of the item is $48.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

The total cost, c, of buying Mickey Mouse Ears, where m is amount of ears bought and 1 magnet, is given by the formula c = 22m + 8. Which equation is equivalent to this formula when solved for m? *
1 point
m = (c - 8)/22
m = (c+ 8)/22
m = c/22- 8
m = c

Answers

The first one. First you'd subtract 8 from both sides then divide both sides by 22, so it should be the first answer.

x/6+12=(-12). solve for x

Answers

If 6 is the denominator of the first part of the equation then x=-144

Answer:

x=-144

Step-by-step explanation:

[tex]\frac{x}{6} +12=-12[/tex] subtract 12 on both sides

[tex]\frac{x}{6}=-24[/tex] multiply by six

x=-144

Un hacendado a comprado doble numero de vacas que de bueyes, por cada vaca pago 70 dólares y por cada buey 85 dólares, si el importe de la compra fueron 2,700 dólares cuantas vacas y bueyes compro

Answers

Responder:

Número de bueyes = 12

Número de vacas = 24

Explicación paso a paso:

Dado que :

Número de vacas compradas = 2 veces el número de bueyes;

Sea número de bueyes = y

Número de vacas = 2 años

Costo de la vaca = 70

Costo de bueyes = 85

Costo total = 2700

Por lo tanto;

(2 años * 70) + (y * 85) = 2700

140 años + 85 años = 2700

225 años = 2700

225 años / 225 = 2700/225

y = 12

Número de bueyes = y = 12

Número de vacas = 2y = 2 * 12 = 24

Marco needs to buy some cat food. At the nearest​ store, 5 bags of cat food cost ​$18.75. How much would Marco spend on 3 bags of cat ​food?

Answers

Answer:

$11.25

Step-by-step explanation:

5 bags = $18.75

To find the amount for three bags, we need to find the price for each bag.

Divide 18.75 by 5.

18.75/5 = 3.75

So each bag is 3.75, and since we need to know the price for 3 bags, we need to multiply 3.75 by 3, which is 11.25.

A garden bed has 4 sections of vegetables. The garden 8 1/2 yards long.
If each section is equal in the length, what is the length of each section?​

Answers

i think its 12 1/2 because 4 + 8 1/2 = 12 1/2

Answer: 12 1/2

Step-by-step explanation: It is 12 1/2 because you have to multiply 4 times 8 1/2 and you'll get 12 1/2

Thats how you do It and make sure to subscirbe to GamerPlayzSupreme2 BYE!!

find the quotient 10^12/10^3
plz answer asap

Answers

Answer:

B

10^9

Step-by-step explanation:

help please thank you sm

Answers

the correct answer is 5/21

Ronald measured a house and its lot and made a scale drawing. The front patio, which is 14 meters wide in real life, is 7 millimeters wide in the drawing. What scale did Ronald use?

Answers

Answer:

2 metre= 1millimetre

Step-by-step explanation:

From the measurement of the house The front patio, is 14 meters wide in real life, is 7 millimeters wide in the drawing

Real life= 14 meters

Drawing= 7 millimeters,

The scale he used is 2 metre= 1millimetre

Which means he magnify the drawing by scale of 2 metre to get the real life structure.

✓Let us clarify it

14 meters = 7 millimeters

2 metre= x millimeter

If we cross multiply

7 millimeters× 2 metre= 14 metre × X millimeters

Make X subject of the formula we have

X= 1millimetres

I need help with #22 & 23 ASAP!!!!please explain so I can understand

Answers

Answer:

22.) y = -1/7x + 8/7 23.) y = 2x -3 (x is the slope.)

Step-by-step explanation

22.) Divided each side by 7. Subtract 1/7x from each side to get the eqaution.

23.) Divided each side by 3. Add y to each side. then subtract 9 from each side to get the equation.


PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

Step-by-step explanation:

Take the two equations and equal them together (2.35 + 0.25x = 1.75 + 0.40x) 2. isolate x onto one side by canceling out (2.35 (- 1.75) + 0.25x (.25x) = 1.75 (-1.75) + 0.40x (.25x) ) 3. get what X equal (x=4) 4. plug the new value of x (4) into ONE of the equations (2.35 + 0.25(4) ) 5. get your answer (3.35)

what is the answer so i can pass

Answers

Answer:

8/100 is equivalent to 0.08

Step-by-step explanation:

The second digit place to the right of the decimal point is the hundredths place, so that is where the 8 belongs because it is 8/100 in fraction form.

Hope this helped :)

What is the percent of change from 75 to 12

Answers

Answer:

-84%

Step-by-step explanation:

que es un experimento determinista

Answers

Answer:

Un experimento determinista es aquel cuyo resultado se puede predecir con certeza de antemano, como combinar hidrógeno y oxígeno o sumar dos números como 2 3. Un experimento aleatorio es aquel cuyo resultado se determina por azar.

Step-by-step explanation:

what is a deterministic experiment

A deterministic experiment is one whose outcome may be predicted with certainty beforehand, such as combining Hydrogen and Oxygen, or adding two numbers such as 2 3. A random experiment is one whose outcome is determined by chance.

This is the last question on my DBA! Please help!!

What are the key features of the graph's exponential functions? Explain how you find each key
feature and what happens to the graphs if you were to add or subtract a constant term.

Answers

We need the graph to answer!

300% of 82 is what number?

Answers

Answer:246

Step-by-step explanation:

f (x) = 2x3 + x2 - 7x + 1 has

Answers

Answer: (x + 2) • (x - 1) • (2x - 3)

Step-by-step explanation:

• You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle (see drawing).

Answers

9514 1404 393

Answer:

  [tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]

Step-by-step explanation:

If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...

  y = √3(1 -x)

and the terminal side of the angle α can be described by ...

  y = tan(α)·x

We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.

  y = √3(1 -y/tan(α)) . . . . substituting for x

  y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y

Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...

  A(α) = (√3/2)tan(α)/(√3 +tan(α))

Further manipulation can put this in the form ...

  A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2

__

For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...

  A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2

__

The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...

  [tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]

_____

The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°

Does anyone know this?

Answers

Answer: D .............

Answer:

B

Step-by-step explanation:

Given

g(x) = 2x² - 6x - 56 ← factor out 2 from each term

      = 2(x² - 3x - 28) ← factor the quadratic

Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)

The factors are + 4 and - 7, since

4 × - 7 = - 28 and 4 - 7 = - 3 , thus

x² - 3x - 28 = (x + 4)(x - 7) , then

g(x) = 2x² - 6x - 56 = 2(x + 4)(x - 7) → B

What is the value of the expression 5ab-2c, where a =2, b=3 and c=0?

Answers

Answer:

30

Step-by-step explanation:

5*2*3 - 2*0 = 30 - 0 = 30

how do i do this ? what does the y = 1 have to do with the reflection

Answers

because you have to flip the thing

PLEASE HELP !! 10 POINTS AND BRAINLIEST !! <3

Answers

Answer:

Your answer would be (7, -9)

The answer would be (7, -9)

Click the picture link below for the problem!
THANKS

Answers

Answer:

2

Step-by-step explanation:

The slope of the line is equal to 2. The slope of a line is rise over run, or change in y over change in x. From one point to another on this line y increases by 2 and x increases by 1, which would be 2/1 or just 2. This slope or any other slope greater than 1 or less than -1 makes the line steeper. Another way to find slope is through the slope formula which is [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex], to use this plug in any two points and solve.

Answer:

The slope is a 2/1 slope.

Step-by-step explanation:

If you look at the slope and pick 2 points, let's say (1,1) and (2,3)

find the difference between the two points by y2-y1/x2-x1

The equation would be 3-1/2-1

The answer to the slope would be 2/1.

What do you call the pairs of roots of quadratic
equation with complex solutions?
Math

Answers

Imaginary numbers
Imaginary numbers contain complex solutions (a +- bi)

How can you tell a triangle is similar with having only one side number?

Answers

Answer:

If the pictures are relevant:

Step-by-step explanation:

Measure the sides, or look for the best fit image

The Idol's Eye diamond weighs 79.2 carats.The Blue Hope diamond weighs 33.68 carats less than the Idol's Eye.What is the weight of the Blue Hope diamond?

Answers

Answer:

45.52

Step-by-step explanation:

Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
HELPP

Answers

Given:

Speed of Timmy = 5 miles per hour

Speed of sam = 4 miles per hour and head start of 2 miles

To find:

Where Timmy and Sam will  meet.

Solution:

Let x be the number hours they ran in marathon and y be the total distance covered.

Speed of Timmy is 5 miles per hour. So, total distance covered by Timmy in x hours is

[tex]y=5x[/tex]       ...(i)

Speed of sam is 4 miles per hour and head start of 2 miles. So, total distance covered by sam in x hours is

[tex]y=4x+2[/tex]    ...(ii)

Now, equate (i) and (ii).

[tex]5x=4x+2[/tex]

[tex]5x-4x=2[/tex]

[tex]x=2[/tex]

The value of x is 2. It means they will meet after 2 hours.

Put x=2 in (i).

[tex]y=5(2)[/tex]

[tex]y=10[/tex]

It means, they will meet at 10 miles.

Other Questions
Nothing but slope................. Match each description under the correct empire Mauryan empire and Gupta empire.PLEASE HELP FAST!!! What determines the amount of thermal energy of an object? Cual es la similitud entre el cantar del mio cid y la celestina? Why is the distributive property important in solving equations? ASAP!! Please help me out ! the words you are looking for are in the reading. 12. Write the EQUATION for 125 is what percent of 200.A 125 = p x 200B 125 = p/200C 125/p = 200D 125 = 200/2 4) What are safe states?aStates that are always won by the candidate that spends the most money tocampaignbStates that have a long history of voting for a particular partyStates that vote for the incumbentdStates that forfeit their electoral votes A gas has a density of 1.57 g/L at 40.0 C and 2.00 atm of pressure. What is the identity of the gas? In the town of Clover, 3 out of 5 citizens who are eligible to vote did so in the fall election. Determine the number of citizens that were eligible to vote in the fall election if 180 actually voted Example 4: In May 2006, Commonwealth Edison Company supplied electricity to residences for amonthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhrsupplied in the month, and $0.06208 per kWhr for all usage over 400 kWhr in the month. (a) What is thecharge for using 300 kWhr in a month? (b) What is the charge for using 700 kWhr in a month? (c) If Cisthe monthly charge for x kWhr, develop a model relating the monthly charge and kilowatt-hours used.That is, express C as a function of x. I attached a file pls answer quick i gotta sleep Spanish speaker plss help me i don't speak Spanish When determining an elements chemical properties, the most important subatomic particle to look at is ill mark brainliest i guess What salary and benefits do current members of Congress enjoy? The single-cycle datapath conceptually described in this section must have separate instruction and data memories, because:________. a. the formats of data and instructions are diff erent in MIPS, and hence different memories are needed. b. having separate memories is less expensive. c. the processor operates in one cycle and cannot use a single-ported memory for two different accesses within that cycled. the formats of data and instructions are different in MIPS, and hence different R-type instructions are needed . 7.Read the conversation below and choose the most appropriate option from those given below. Attendant: A patient wants your appointment, Sir.Doctor: Did you note down his name?Attendant: Yes. I have booked his appointment for tomorrow.The Attendant respectfully told the doctor that a person _____________(1 Point)want his appointment.wanted his appointment.wants your appointment Sir.wanted your appointment.8.The doctor asked him_____________ his name.(1 Point)if he had noted downdid he note downdid he noted downif he noted down9.The attendant answered in the affirmative and informed that______________(1 Point)he has booked his appointment for the next day.he booked his appointment for the next day.he had booked his appointment for tomorrow.he had booked his appointment for the next day Find the range of the following piecewise function. [27,3) (-22,3] (27,3] [-22,3) Triangle FED is the image of triangle ABC. Angle A corresponds with which angle?A) DB) EC) FD) none of the above