Two school groups go to a roller skating rink. One group pays $243 for 36 admissions and 21 skate rentals. The other group pays $81 for 12 admissions and 7 skate rentals. Let x represent the cost of admission and let y represent the cost of a skate rental. Is there enough information to find values for x and y? Explain.
thxs

Answers

Answer 1

Answer:

No

There are infinitely many solutions to the system.

{36x+21y=24312x+7y=81

Multiply the second equation by 3.

3(12x+7y36x+21y=81)=243

Subtract this new equation from the first equation.

36x+21y−(36x+21y0+0=243=243)=0 true

Answer 2

There are infinitely many values of x and y are possible.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

Two school groups go to a roller skating rink.

One group pays $243 for 36 admissions and 21 skate rentals.

The other group pays $81 for 12 admissions and 7 skate rentals.

Let x represent the cost of admission and let y represent the cost of a skate rental.

We have a system of equations,

36x + 21y = 243   {equation 1}

12x + 7y = 81        {equation 2}

Simplifying equation 1 we get,

36x + 21y = 243  

Divide by 3,

12x + 7y = 81      

That means, there are infinitely many solutions possible.

Therefore, there are infinitely many solutions possible.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2


Related Questions

Please help
8th pre-algebra math

Answers

Answer:

The first one

Step-by-step explanation:

Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet tall, but its length is unknown.
Each section will be a different color, so they need to know the area of each section.
so , i said 5/10x area = length * width A=10*x a= 10x
then i said you should divide , next i said 10x/5 10x in five sections is 2 in each q1 said area 10*x but x=2 so 10*2=20 is this correct?

Answers

I believe so because if you are finding a area you do length x width

A business owner receives a 5000 loan with 13% interest, charged at the end of each year​

after 1 years

after 2 years

after 3 years

Answers

After 2 years because

Answer: there are peace's missing out of the question but if I had to guess its 1 year

Step-by-step explanation:

Help me
Please and thank you

Answers

Answer:

2.5 hours

Step-by-step explanation:

o-O

Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the estimate using front-end estimation?
-21 ÷ 4
-21 ÷ 5
-20 ÷ 4
-20 ÷ 5

Answers

Answer:b

Step-by-step explanations:

It is close to problem b

help
i don't understand this question and I would love to get the answer:)

Answers

Just write 3/4 and it’ll be correct

Answer: 3/4 is the answer

Step-by-step explanation:

When x is 2, y is 1.5 and when x is 4, y is 3. So, 1.5 is 3/4 of 2 and 3 is obviously 3/4 of 4.

Which number line shows the solution set for StartAbsoluteValue 2 p minus 4 EndAbsoluteValue greater-than-or-equal-to 6?
A number line going from negative 6 to positive 6. Closed circles are at negative 5 and positive 5. Everything between the points is shaded.
A number line going from negative 1 to positive 8. Closed circles are at negative 1 and positive 5. Everything to the left of negative 1 and to the right of positive 5 is shaded.
A number line going from negative 6 to positive 6. Closed circles are at negative 5 and positive 5. Everything to the left of negative 5 and to the right of positive 5 is shaded.
A number line going from negative 1 to positive 8. Closed circles are at negative 1 and positive 5. Everything between the points is shaded.

Answers

Answer:

can u add a picture?

Step-by-step explanation:

Solve.

−5.6x=−4

What is the solution to the equation?

Enter your answer as a simplified fraction in the box.

Answers

Answer: 0.714285

Step-by-step explanation:

The solution of the equation (-5.6 = -4) is (x = 5/7) and this can be determined by using the arithmetic operations.

Given :

-5.6x = -4

The following steps can be used in order to determine the solution to the equation (-5.6x = -4):

Step 1 - The arithmetic operations can be used in order to determine the solution to the given equation.

Step 2 - Write the given equation.

-5.6x = -4

Step 3 - Add 4 on both sides in the above equation.

-5.6x + 4 = -4 + 4

-5.6x + 4 = 0

Step 4 - Add 5.6x on both sides in the above expression.

-5.6x + 4 + 5.6x = 5.6x

4 = 5.6x

Step 5 - Divide 4 by 5.6 in the above expression.

[tex]x = \dfrac{4}{5.6}[/tex]

Step 6 - Simplify the above expression.

[tex]x = \dfrac{5}{7}[/tex]

For more information, refer to the link given below:

https://brainly.com/question/2096984

PLZ HELP MEEEEEEEEEEEEEEEEEE

Once you click on the link answer the question then explian

Answers

Answer:

a. 0.335

b. 41.2

c. 0.736

d.0.006132

Step-by-step explanation:

Its simple math, how to explain it more. When dividing with ten you always delete or add one zero

Answer:

a, 0.35 b, 41.2 c, 0.736 d, 6.132

Step-by-step explanation:

Marcus has earned 353 out of 400 points (88% or B+) in Math class. He needs 90% to earn an A-. There is one test left worth 100 points. How many points does Marcus need on the test to raise his grade to an A-?

Answers

Answer:

97

Step-by-step explanation:

Marcus is aiming for an A- (90-94 percent). The question states that there is another test awaiting that is worth 100 points. In order to find the answer to the question, you need to:

1.) Add 400 + 100, to show how many points there are in total.

2.) Use the answer choices and add it to 353.

88 + 353 = 441

93 + 353 = 446

97 + 353 = 450

3.) Find the percentage of the sums.

441/500 = 88%

446/500 = 89%

450/500 = 90%

Since Marcus is aiming for an A-, we can conclude that obtaining 97 points will help Marcus achieve an A-.

2nd option,97 I think

An account with an initial balance of $4000 earns 6.5% interest for 5 years.
What is the ending balance?
Enter your answer in the box. $.

Answers

Answer:

The balance in the bank after 5 years of 6.5% interest is $5,300.

Step-by-step explanation:

*Presuming that this is not a compounding interest the interest would just multiply by the even balance.*

So every 5 years the balance earns 0.065 of 4,000 dollars.

This would make our equation:

4000 + (4000  x .065 x 5 )

= 4000 + (1300)

= 5300

The balance in the bank after 5 years of 6.5% interest is $5,300.

Answer:

5,300

Step-by-step explanation:

Simplify: -1 l 2/3 divided by 4 l divided 5/6
1.-4
2. -25/9
3. 25/9
4. 4

Answers

Answer:

2. 25/9 ? im not sure

Step-by-step explanation:

-5/12

Cause i know
Yeah

Answer the screen shot question
IF U ANSWER CORRECTLY U R THE BRAINLIEST
WORTH 20 POINTS

Answers

LWH=0.5x0.2x0.1=0.01
Answer = 0.01

Answer:

0.01

0.5 * 0.2 = 0.1

0.1 * 0.1 = 0.1

but that don't feel right to the question your asking so im going to need information more  on what your working on in class

Step-by-step explanation:

A: A behavior that does not depend on experience
B: A period of inactivity that occurs during hot and dry conditions
C: An area occupied by one or more animals that do not allow other members of the species to enter

1: Territory
2: Innate
3: Estivation

(If you do all three, i will give you 30 points)

Answers

Answer:

A. Innate

B. Estivation

C. Territory

Step-by-step explanation:

Answer:

A: Innate

B: Estivation

C: Territory

Step-by-step explanation:

A is an innate behavior.

How do you find the height of a rectangular prism with the volume and area?

Answers

Answer:

The volume of the prism is the area of the base times the height. So to calculate height, divide the volume of a prism by its base area. For this example, the volume of the prism is 500 and its base area is 50. Dividing 500 by 50 results in 10.

Determine which statement is true if JKLM ~ NOPQ

Answers

Answer:

B / 2nd answer

Step-by-step explanation:

if the orders are correct, then it should be B, but there should also be a picture just in case

Please help me
Triangle OLD has vertices at (-2,1)and(8,-3). Triangle NEW represents a dilation of triangle OLD. if the vertices of triangle NEW are located at (-4/3,2/3) (4/3,4) and (16/3,-2) which of the following represents the dilation that transforms triangle OLD to triangle NEW?

A. (x,y)=(4/9 x, 4/9 y)
B. (x,y)=(x+2/3,y-1/3)
C. (x,y)=(4/3x,4/3y)
D. (x,y)=(2/3x,2/3y)

Answers

aaaaaaaaaaaaaaaaaaaaaaaa
?????????????????????

will giver brainliest to the person with the most detailed answer. That means tell me how you got ur answer. And the person who answers with the most clear explanation as well. Good luck!! This is due in 8 minutes as well. And pls number ur answers in order so it is clear!!

Answers

Answer: y = 2x is the equation

Step-by-step explanation:

Answer:

y = 2x

I hopes this helps.

Which equation represents a proportional relationship?

Answers

Answer:

I believe the answer would be A

Step-by-step explanation:

try it tell me how it goes

Answer: y=32x

Step-by-step explanation: I THINK ITS RIGHT?

Please I need helppp
During the period 1800-1900, 6 out of the 23 u.s. Vice Presidents later became U.S. presidents during the period 1901-200 7 out of 21 presidents later became presidents. During which period did a greater fraction of Vice Presidents become presidents?

Answers

Answer:

The relative ease with which the United States dispatched the Spanish squadron in Manila Bay was only the beginning of what would become a nearly 50-year American presence in the Philippines. It was one thing to capture the islands, but another thing entirely to set up a working administration. The Philippines encompasses about 7,100 islands and sits nearly 8,600 miles away from Washington, DC ...

Step-by-step explanation:

You can solve this in more than 1 way. The easiest way to solve though is by diving.
Step one: create a fraction
6/23 1800-1900
7/21 1901-2000

Step Two:
Divide the fractions. (Divide the numerator by the denominator, top by bottom)
6/23 ≈ .26
7/21 ≈ .33

From here you can see that 7/21 is greater because it has a greater number. I hope this helps!

Simplify the following expression.


8x+5−11x+ x−3

Answers

Solution:

[tex]8x + 5 - 11x + x - 3 \\ = 8x - 11x + x + 5 - 3 \\ = - 2x + 2[/tex]

Answer:

-2x + 2

Hope it helps.

Do comment if you have any query.

answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

90 percentage

Step-by-step explanation:

90,

there are 90 tiles in box a

Answer:

in box a 35% of tiles are black or 7 tiles

Please help out!! Im giving 25 pts!!

Answers

Answer:

10,11,aquarium

Step-by-step explanation:

Can you PLEASE help me with this?

Answers

Answer: A. 31.42

B. 50.27

C. 23.25

D. 69.12

E. 100.53

F. 18.22

G. 37.7

H. 56.55

I. 52.15

J. 27.65

K. 75.4

L. 47.12

M. 128.81

N. 62.83

O. 58.43

P. 106.81

Q. 94.25

R. 98.65

S. 11.31

T. 72.26

U. 157.08

V. 109.33

W. 149.54

X. 13.19

Y. 119.38

Z. 100.53

And the other thing  is 169.65

Step-by-step explanation:

A. 15.7

B. 25.12

C. 11.6

D. 34.5

E. 50.2

F. 9.1

G. 37.7

H. 56.5

I. 51.5

J. 27.6

K. 75.4

L. 47.1

M. 64.3

N. 62.8

O. 58.4

P. 53.4

R. 49.2

S. 11.3

T. 72.3

U. 78.5

V. 54.6

W. 74.8

X. 13.2

Y. 59.7

Z. 100.5

Pi. 84.8

AN OPINION WITHOUT PI IS JUST AN ONION

If the perimeter of a regular pentagon can be expressed as 10s - 20, determine the length of each side.

50 s - 100
5 s - 10
s - 2
2 s - 4

Answers

Answer:

2 s - 4

Step-by-step explanation:

A Regular pentagon means that it has 5 evenly lengthen sides. In other words, the shape with 5 sides has lengths are equal to each other.  

Because the total perimeter as mentioned of the pentagon is 10s - 20,  

dividing it by 5 should find the length of each side!

Equation: (10s - 20) / 5

Once you finish dividing each digit inside the bracket you are done!

= 2s - 4

So that leaves us with 2s-4

Answer:

2 s - 4

Step-by-step explanation:

Draw a graph in the coordinate plane of the relationshp between the number of pounds of coffee (x) and total cost (y).

no links

Answers

Answer:

The cost and coffee

Step-by-step explanation:

I graphed it for you

What is the value of the expression x−2y+√4z when x = 12 y = -3 and z = 4

Answers

Given expression,

=> x - 2y + √4z

when x = 12 , y = -3 and z = 4 ,

=> 12 - 2(-3) + √4*4

=> 12 +6 + 4

=> 18 + 4

=> 22

Answer: 22

Step-by-step explanation: first write out the equation then add in the numbers in place of the variables

Ex: 12-2(-3)+√4(4)

4. Given the graph below and the equation y=3x, determine which function has the greatest rate of growth. (Circle which has the greatest rate of growth below)

Graph:
Equation:

Answers

Answer:

the equation

Step-by-step explanation:

omg i don’t get it sorry
but hope u solved it 29292

how do you solve 33 + 27.2 – (6.8 + 24) – 3.1 i need it for an paper im doing and need to show my work

it is 6th grade work

Answers

PEMDAS (parenthesis, exponents, multiplication, division, addition and substraction)



33 + 27.2 - (6.8 + 24) - 3.1
33 + 27.2 - 30.8 - 3.1 --> 60.2
60.2 - 30.8 - 3.1 --> 26.3 <-- final answer


Solve for x.
4 (x + 1 1/3) = 9 2/3
Enter your answer as a mixed number in simplest form in the box.

Answers

Answer:

The simplest way to put is 29/3

13/12

This should be in simplest form
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