Solve this application problem using a system of equations: 40,000 people attended a ballgame at a stadium that offers two kinds of seats: general admission and reserved. The day's receipts were $425,000. How many people paid $15.00 for reserved seats, and how manypaid $8.00 for general admission?

Answers

Answer 1

Answer: 15,000 people paid $15.00 for reserved seats and 25,000 paid $8.00 for general admission.

Step-by-step explanation:

Let x = Number of reserved seats

y= Number of general admission

According o the question:

x + y = 40000           (i)

15x + 8 y = 425000           (ii)

Multiply 8 to equation (i), we get

8x + 8 y = 320000          (iii)

Subtract (iii) from (ii), we get

15x - 8x + 8y - 8y = 425000-320000

⇒ 7x = 105000

⇒ x = 15000  [Divide both sides by 7]

Put this in (i) , we get

15000+y= 40000

⇒ y = 40000-15000

⇒ y= 25000

Hence, 15,000 people paid $15.00 for reserved seats and 25,000 paid $8.00 for general admission.

 


Related Questions

Help me pls
What is the students error?

Answers

Answer:

first one;)

Step-by-step explanation:

The second class railway fare for 240 Km of journey is Rs. 15. What would be the fare for a journey of 139.2 Km? pls answer my question..i will mark brainliest..​

Answers

please mark me as brainlest

The ratio of the width to the length of a rectangle is 3 to 5.
The perimeter of the rectangle is 64 cm.
What are the width and length of the rectangle?

Answers

Step-by-step explanation:

let width= 3x and length = 5x

perimeter = 64cm

now perimeter = 2(length+width)

64= 2(3x+5x)

64 = 16x

x = 4

therefore width= 3 X 4 = 12

length = 5 X 4 = 20

What is a polynomial? And how do you identify if an equation is a polynomial?

Answers

Answer:

polynomial is a an algebraic expression with 2 or more terms

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

What are polynomials?

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

Polynomials are often sum of terms that are usually in the form :-

[tex] \huge \sf \: a {x}^{2} + bx + c[/tex]

The powers in a polynomial are non-negative integer powers.Based on the number of terms in a polynomial, there are 3 types of polynomials. They are monomial, binomial and trinomial. Based on the degree of a polynomial, they can be categorized as zero or constant polynomials, linear polynomials, quadratic polynomials, and cubic polynomials.

slove the equation r+ 3 = (r - 5)

explain step by step please

Answers

Answer:

no solutions

Step-by-step explanation:

Solving

Step 1: Subtract 3 from both sides.

[tex]r+3-r=r-5-r[/tex] [tex]3=-5[/tex]

Step 2: Subtract 3 from both sides.

[tex]3-3=-5-3[/tex] [tex]0\neq -8[/tex]

Therefore, there are no solutions to this equation.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

No solution l

Solving steps:

=> R + 3= (r - 5)

=> [tex]r - r + 3 = r - r - 5[/tex]

=> [tex]3 = - 5[/tex]

Step 1: substract 3 from both side

=> [tex]3 - 3 = - 5 - 3[/tex]

Step 2: Subtract 3 - 3 and -5 - 3

=> 0 = - 8

Therefore this solution that have no solution Good luck and enjoy ^_^

Please match the fractions! pls pls pls Will mark BRAINALEST!

Answers

Answer:

See below.

Step-by-step explanation:

[tex]\frac{1}{12} +\frac{1}{6} = \frac{2 + 1}{12} = \frac{1}{4}[/tex]

[tex]\frac{1}{4} - \frac{1}{8}=\frac{2-1}{8} = \frac{1}{8}[/tex]

[tex]\frac{2}{3} +\frac{1}{3} = 1[/tex]

[tex]\frac{1}{2} - \frac{1}{6} = \frac{3-1}{6} = \frac{1}{3}[/tex]

Answer:

1/12 + 16 = 1/4

1/4 - 1/8 = 1/8

2/3 + 1/3 = 1

1/2 - 1/6 = 1/3

Step-by-step explanation:

1/12 + 1/6

LCM of denominators 12 and 6 = 12

1/6

Multiply 2 to both numerator and denominator,

1/6 * 2/2

= ( 1*2 )/( 6*2 )

= 2/12

1/12 + 1/6

= 1/12 + 2/12

= ( 1 + 2 )/12

= 3/12

12 = 3*4

3/12

= 3/( 3*4 )

= 1/4

1/4 - 1/8

LCM of denominators 4 and 8 = 8

1/4

Multiply 2 to both numerator and denominator,

1/4 * 2/2

= ( 1*2 )/( 4*2 )

= 2/8

1/4 - 1/8

= 2/8 - 1/8

= ( 2 - 1 )/8

= 1/8

2/3 + 1/3

= ( 2 + 1 )/3

= 3/3

= 1

1/2 - 1/6

LCM of denominators 2 and 6 = 6

1/2

Multiply 3 to both numerator and denominator,

1/2 * 3/3

= ( 1*3 )/( 2*3 )

= 3/6

1/2 - 1/6

= 3/6 - 1/6

= ( 3 - 1 )/6

= 2/6

6 = 2*3

2/6

= 2/( 2*3 )

= 1/3

2) Albert has a $16,000, six-year loan with an APR of 7.25%.
a. What is the monthly payment?
b. What is the total amount of the monthly payments?
c. What is the finance charge?

Answers

For a standard,  year $16000 home/car loan 7.25% APR with payments due at the end of the month, calculate the monthly payment:

Calculate Months:

Your loan term is for years.

Months = 12 * Years

Months = 12 *

Months = 0

Now calculate monthly Annual Percentage Rate (APR):

APR  =   Annual APR

  12

APR  =   7.25

  12

 APR  =  0.0060416666666667 <----- This is the effective interest each month.

Now calculate Annual Percentage Yield (APY):

APY = ((1+APR)12 - 1) * 100%

APY = ((1 + 0.0060416666666667)12 - 1) * 100%

APY = ((1.0060416666667)12 - 1) * 100%

APY = (1.0749582974213 - 1) * 100%

APY = 0.074958297421329 * 100%

APY = 7.5% <----- What you actually pay in interest with monthly compounding.

Calculate our monthly loan payment:

Monthly Payment  =   Loan Amt * APR

  1 - (1/(1 + APR))n

Monthly Payment  =   16000 * 0.0060416666666667

  (1 - (1 /(1 + 0.0060416666666667))0

Monthly Payment  =   96.666666666667

  (1 - (1 / 1.0060416666667)0

Monthly Payment  =   96.666666666667

  1 - 0.99399461586250

Monthly Payment  =   96.666666666667

  1 - 1

Monthly Payment  =   96.666666666667

  0

Monthly Payment = 0

Now calculate the total number of payments you will make:

Total Payments = Monthly Payment * Months in the Loan

Total Payments = 0 * 0

Total Payments = $0.00

You will end up paying $0.00 - $16,000.00 = $-16,000.00 above the principal on this loan.


Order the sides of each triangle from shortest to longest

Answers

9514 1404 393

Answer:

  9) AB, AC, BC   or   c, b, a

  10) EG, (EF, FG)   or   f, (e, g)

Step-by-step explanation:

Sides are in the same order as their opposite angles. Generally the angle has an upper-case letter for its name, and the opposite side has the same lower-case letter for its name.

__

9) angle C is 32°, opposite side c, which is also labeled AB

  angle B is 68°, opposite side b, which is also labeled AC

  angle A is 80°, opposite side a, which is also labeled BC

Shortest to longest, the sides are c, b, a.

__

10) angle F is 50°, opposite side f, which is also labeled EG

The remaining two angles are both 65°, so have no smallest/largest order. Likewise their opposite sides are the same length, so have no shortest/longest order.

  angles E and G are opposite sides e and g, also labeled FG and EF, which are the same length

The shortest side is f; sides e and g are longer and are the same length.

Jaine has saved 7 times as much
money as Jared has saved. Jaine has
saved $378. How much money has
Jared saved?

Answers

Answer:

$54

Step-by-step explanation:

If Jaine has $378, the opposite of 7 times would be dividing. So all you have to do is 378/7=54.

what is the point slope form of (2,5) , (4,9)​

Answers

Answer:

y−5=2⋅(x−2)

Step-By-Step solution

Sean bikes 5 miles south and then 3 miles west. What is the shortest distance back to Sean’s starting point?
pls help

Answers

Answer:

back 5 miles south west

Step-by-step explanation:

hope this help have a good day.

How many pints are in​ 6 1/2​quarts?

Answers

Answer:

13 pints I believe

Step-by-step explanation:

6.5 x 2 = 13

Answer:

Step-by-step explanation:

13

Does the point (-1, 2) make the following equations true? i) y = -2x ii) y = x + 3

Answers

Answer:

i) True

ii) True

Step-by-step explanation:

Given :-

Point (-1, 2)

To Find :

Whether the point is a solution of :

y = -2xy = x + 3

Solving :-

Substitute the value of the point in each of the equations.

=> y = -2x

=> 2 = -2(-1)

=> 2 = 2 [∴ The point makes it true]

=> y = x + 3

=> 2 = -1 + 3

=> 2 =  2 [∴ The point makes it true]

Answer:

true

Step-by-step explanation:

first, you take the y = -2x and plug that into y = x + 3. so your equation should be -2x = x + 3. you then solve for x which comes out to be -1. you then plug the -1 into y = -2x. your equation should be y = -2(-1). solve for y which equals 2. the point that you got from both equations matches the point from the equation given so it is true.

Can some one help me

Answers

Answer:

the answer is 21 because 3x7 is 21

Teresa invests $200.00. It earns 5% interest annually

Answers

Answer:

200 invests and 5% earned

Step-by-step explanation:

200 plus 5% is 210 dollars

5. 3x – 4y = 12 for y

Answers

Answer:

y=3/4x-3

Step-by-step explanation:

subtract 3x from both sides: -4y=-3x+12

divide by -4: y=3/4x-3

PLEASE HELP WITH GEOMETRY HW

Answers

Answer:

m<92⁰

Step-by-step explanation:

m<16 = 55⁰

m<20 = 55

55 + 33 =88

the sum of the inside of a triangle is 180⁰ so

180 - 88 =92

Mr. Andrew bought 15 boxes of crayons at the store to share with his students. Each box contains 64 crayons. Write an equation that represents ​c​, the total number of crayons that Mr. Andrew bought. Use your equation to solve for the total number of crayons.

Answers

Answer: 960 crayons

Step-by-step explanation:

From the question, we are informed that Mr Andrew bought 15 boxes of crayons at the store to share with his students and that each box contains 64 crayons.

The equation that represents ​c​, the total number of crayons that Mr. Andrew bought will be:

C = 15 × 64

= 960 crayons

1x7x8x4x5x3x4x6x9x8x2x12x4x8x69x6x8x9x5x3xx6x7x4x3x87x0

Answers

Answer:

0

Step-by-step explanation:

when anything is multiplied by zero it equals 0

The bill for the repair of a car was $357. The cost for the parts was $285. The cost of labor was $32 per hour. Use an equation to find out how long it took for the mechanic to repair the car?​

Answers

Answer:

2.25 hours

Step-by-step explanation:

Hope this helps! sorry was a tad bit late

It took 2 hours and 15 minutes to repair the car.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Total bill for the repair of car = $357

Let's say it took x hour to repair the car

So,

32x will be the labor cost

Now,

Labor cost + cost of parts = total bill

So,

32x + 285 = 357

32x = 72 ⇒ x = 2.25 hour

Now,

0.25 hour in minutes ⇒ 0.25 × 60 = 15 minutes.

Hence "It took 2 hours and 15 minutes to repair the car".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

18 less than the product of 5 and a number

Answers

Answer:

5x-18

Step-by-step explanation:

18 less than the product of 5 and a number.

The product of 5 and a number is equal to 5x.

You then subtract 18 from the product and you get 5x-18

Answer:

5x-18

Step-by-step explanation:

How do you solve this?

x + 9 = 12
please I'm begging yall

Answers

Answer:

x = 3

Step-by-step explanation:

x  + 9 = 12

To solve the equation, we have to isolate 'x'.

To isolate x,  subtract 9 from both sides.

x + 9 - 9 = 12 - 9

x = 3

Answer:

[tex]\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

The only thing you need to do to solve this problem is to isolate the term x from one side of the equation.

x+9=12

First, subtract by 9 from both sides.

[tex]\sf{x+9-9=12-9}[/tex]

Solve.

[tex]\sf{12-9=3}[/tex]

[tex]\boxed{\sf{x=3}}[/tex]

Therefore, the final answer is x=3.

I hope this helps you! Let me know if my answer is wrong or not.

Answer number 4 please

Answers

Answer:

A

Step-by-step explanation:

one circle for top of cylinder and one for the bottom

What is the equation of the function that is graphed as line a?

O y= 2 x-1
O y=-x-1
O y=-x
O y=3 x
please awnser quick :)

Answers

to get the equation of any straight line we simply need two points off of it, hmmm let's use the points in the picture below for "a".

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}}\implies \cfrac{-6}{2+4}\implies \cfrac{-6}{6}\implies -1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-3=-1(x+4)\implies y-3=-x-4\implies y=-x-1[/tex]

A rectangular prism is completely packed with 54 cubes of edge length fraction 1 over 2 inch, without any gap or overlap. Which of these best describes the volume of this rectangular prism?
Please help!

Answers

Answer:

The answer is D. The volume of the rectangle = 180 x 1/3 x 1/3 x 1/3 = 180/27=6 + 18/27.

Unit cube = 1 x 1 x 1

Step-by-step explanation:

Hope this helps!

PLEASE HELP ILL GIVE BRAINLIEST AND THANKS
SOLVE THE SIMULTANEOUS EQUATION
3y=6x+3 and 3y=4x+6

Answers

Answer:

x=3/2, y=4

Step-by-step explanation:

3y=6x+3

solve by substitution for 3y=6x+3

3y=4x+6

6x+3=4x+6

6x-4x=6-3

2x=3

x=3/2

3y=6x+3 ⇒ y=6x/3 + 3/3 ⇒ y=2x+1

y=2x+1 ( substitute x=3/2)

y=2(3/2)+1

y=3+1

y=4

Pls help i need it!!!

Answers

Answer:

set up schools

Step-by-step explanation:

The set up schools is the answer

A company bought 28 desks for each
of its 17 offices. How many desks were
bought altogether?

Answers

Answer:

476

Step-by-step explanation:

THAT SHOULD BE 28*17 Wich is 476

Answer:

28 x 17 = 476

Step-by-step explanation:

It's saying it buys 28 desks for each office. Since there's 17 offices you have to add 28 17 times, so basically you multiply 28 by 17 and you get 476 which is the total number of desks bought.

ANSWER : 476 Desks

lian has three lines on the board. lines m and n are parallel. lian says that the measure of <2 is 2/3 of the measure <1. What is the measure of <2?​

Answers

Answer:

Its 3

Step-by-step explanation:

5. Ms. Martinville wants to order new Sharpies for
the classroom. At Walmart she can buy a package
of 16 Sharpies for $12.49 and on Amazon she can
buy a package of 24 Sharpies for $22.18. Where
should Ms. Martinville purchase her Sharpies in
order to get the best deal?

Answers

basically it’s 12.49 because i said so and this is incorrect
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