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;

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Related Questions

Drag each bar to the correct location on the graph. Each bar can be used more than once. Not all bars will be used.

Ella surveyed a group of boys in her grade to find their heights in inches. The heights are below.
have a grate day and thx for helping

67, 63, 69, 72, 77, 74, 62, 73, 64, 71, 78, 67, 61, 74, 79, 57, 66, 63, 62, 71 ,73, 68, 64, 67, 56, 76, 62, 74


Create a histogram that correctly represents the data.









Reset Next

Answers

Answer:

Here is what I got...

Step-by-step explanation:

Usually, when Landon makes bird food, he mixes 9 cups of seed with 6 tablespoons of maple syrup. However, today, he is short on ingredients. Describe a recipe that would make a SMALLER batch of bird food but still taste exactly the same.

Answers

Answer:

3 cups of seeds and 2 tablespoons of maple syrup

-OR-

6 cups of seeds and 4 tablespoons of maple syrup

Step-by-step explanation:

As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"

The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"

Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.

The ratio of cups of seed to tablespoons of maple syrup is 3:2 therefore these are an example to your question:
6 seed and 4 maple
pls make me brainliest

pllz answer Masterson Wood Products pays Patricia Griffin a $640 monthly salary plus a 11% commission on merchandise she sells each month. Assume Patricia's sales were $72,900 for last month.

Answers

Answer:

$8659

Step-by-step explanation:

Patricia's sales = $ 72,900

Her commission = 11% of $72,900

= 11/100 * 72,900 [ % means out of 100 and of means to multiply ]

= 11 * 729

= $ 8019

Her monthly salary = $640

Her monthly salary along with commission = $640 + $8019

= $8659

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

1307 is the commission plus the monthly salary so it would be

$640+$1307=2247

Step-by-step explanation:

Answer is $2247

How do you write (4)(25)-300 as an addition equation

Answers

4 x 25 + - 300 is a way u can do it

(4)(25) - 300 can be written as an addition equation: 100 + (-300).

What is an equation?

An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.

Given:

An equation is (4)(25)-300.

To write (4)(25)-300 as an addition equation,

we can break it down into two separate addition equations as follows:

(4)(25) - 300 = (4)(25) + (-300)

To solve this further,

substitute the value 25 x 4 = 100 to the above equation, we get,

= 100 + (-300)

Therefore, the equation in the required form is  100 + (-300).

To learn more about the equation;

https://brainly.com/question/12788590

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6.9 + (-5)+ 4.1=?

Tell me if u go ogled trust me i know that u guys will i will not mark u brainliest if u lie that u di i can scan to see if u plagerized wat im saying is just tell me if u did im not gonna get mad lol i will get mad if u lie u di d it on ur own

Answers

Answer:

6

Step-by-step explanation:

6.9+(-5)+4.1~ When there is a in front of an expression in parentheses, the expression remains the same - 6.9-5+4.1 then Calculate the sum or difference then you get 6. ANSWER=6

Please help I cant do this

Answers

Answer:

Step-by-step explanation:

stop drawing and pay atention and mabe you will get it

If you type out the numbers I can help

how can you find the product of positive and negative decimals

Answers

(I have attached an example for reference)

1) Product means multiply, so we will multiply the decimal numbers.

2) First multiply both the numbers just the way you multiply two whole numbers.

3) note that WHILE multiplying you DON'T put the decimal point. Put the decimal point once you get your FINAL answer.

4) Once multiplied, count the total number of places after the decimal in both the numbers which were given. i.e, in the example it's 2 decimal places, one decimal place in 24.5 and one in 3.2, which means the total decimal places here are two.

5) now in your answer, start counting the decimal places from the right side of the number. For example in 7840, we start counting two decimal places from the right side of it and stop at 4 and put a decimal point there. This way we get 78•40.

Hope that helps...

Answer:

Step-by-step explanation:

Watch the video on the picture below

Hope it helps

#LetsStudy

Does a proportional relationship occur for addition and subtraction or only for multiplication and division?

Answers

Follow lyricalcosplays on TikTok!! X

Answer:

I am pretty sure it is with all of them

Step-by-step explanation:

A hot-air balloon is 1200 feet off the ground and its altitude is slowly changing at a constant rate of −712 feet per second.
How many seconds, s, will it take for the balloon to drop to below 310 feet?

Answers

It will take 2 seconds

Explanation:
1200-712= 488
488-712= -224
It will take 2 seconds

Can like someone help me with O.o.O (order of operations)

Show your work please...thats why I provided a ton of space.

Answers

Answer:

183

Step-by-step explanation:

168+2^3+3^3-20=

Exponents

168+8+27-20

Addition

203-20

Subtraction

183

183 is the answer.

Answer:

10

Step-by-step explanation:

Using the process PEMDAS I got the answer 10.

168÷2^3+3^3-20

There are no parentheses so you solve the exponents first.

168÷8+9-20

Next, we do not multiply which makes division our second step.

This gives us 21+9-20.

Now we add 21+9 which gives us the sum of 30.

30-20 is equal to 10.

This is how I got my answer and I really hope this helps you

Chicago, Illinois, has an elevation of 600 feet above sea level (zero feet). The elevation of Desert Shores, California, is 800 feet less than the elevation of Chicago.

Which statement is true about Desert Shores?

the elevation is -200 feet

the elevation is 200 feet

the elevation is at 1400 feet

the elevation is at -1400 feet

Answers

Answer:

The elevation is -200 feet.

Step-by-step explanation:

600 - 800 = -200

-200, since you start off with 600 ft and your taking away 800 it would become negative so, 600-800= -200

Click to see the pic! PLEASE NO LINKS, I CANT EVEN OPEN THEM FOR SOME REASON BUT I NEED AN ANSWER

Answers

Answer 75%=0.75

7%= 7/100

75/10=other

3/4=0.75%

0.07=7/100

7.5=other

Step-by-step explanation: hope that helps :))

0.75~ 75%. 3/4
7/100~. 7%. 0.07
other~. 7.5%. 75/10

A dugout needs to reach at least 72 feet below ground level. This means it needs to be more than 4 1/2 times its current depth. This depth is represented by the inequality 4 1/2 d < -72, where d is the current depth of the dugout.

The current depth of the dugout is ________ area feet below ground level.

Greater than 16


Fewer than 16


Greater than -16


Fewer than -16

Answers

Answer:

The answer i got is this -16 2/3, which i think is greater than -16

The ongoing profundity of the hole is less than the negative region feet subterranean level. Then the right choice is D.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A hole needs to arrive at no less than 72 feet subterranean level. This implies it should be multiple 1/2 times its ongoing profundity. This profundity is addressed by the imbalance 4 ¹/₂ d < - 72, where d is the ongoing profundity of the burrow.

4 ¹/₂ d < - 72

Simplify the inequality, then we have

4 ¹/₂ d < - 72

4.5d < - 72

d < - 72 / 4.5

d < - 16

The ongoing profundity of the hole is less than the negative region feet subterranean level. Then the right choice is D.

More about the inequality link is given below.

https://brainly.com/question/19491153

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If you had taken the PSAT test can you tell me if it is hard, what topic is on it (especially math) and what happens basically?
I got an email saying it was for 8/9 grade and I'm in 8th. It is free for me and I'm wondering what I have to do. Do I need to make an account on psat.org or will my teacher send me a link to the test?

Answers

Answer:

Its relly hard trust me!

Step-by-step explanation:

Solve for M, please
2m - 6 ≥ - 2

Easy 61 points

Answers

[tex]\\ \sf\longmapsto 2m-6\geqslant -2[/tex]

[tex]\\ \sf\longmapsto 2m\geqslant 4[/tex]

[tex]\\ \sf\longmapsto m\geqslant 4/2[/tex]

[tex]\\ \sf\longmapsto m\geqslant 2[/tex]

What is 300,000,000x 4,000,000,000x6,000,000,000x 7,000,000,000x5000,000,000,000 I need help pls

Answers

Answer:

2.52 x 10^50

I converted to scientific notation :)

2.52 x 10^50bdhdbdggd

Help with Questions 4 and 5!
Will mark Brainliest for the best and accurate answers!

Answers

question 4 is A

question 5 is 43.6

question 5 showing work

how I would figure it out is 151-20 =131

then I would divide it by 3 for each day

_

131÷3=43.6

Answer:

131÷3=43.6

Step-by-step explanation:

What is the slope of the line in the graph?

Answers

Answer:

-1 is the slope

Step-by-step explanation:

Take 2 points, you go down 2 and right 2 to get to the next point, so the slope is -2/2 = -1

Answer:-1

Step-by-step explanation:

Look at the two points. Now, look at how the line traveled to get from one point to the other, down two and over two, or -2/2. To simplify, divide by two, which gives you -1/1 or -1

so this is for khan academy and I would really like some help with it :)

Answers

Its slope so itll be 4/2 and thats 2

y/x=2

Step-by-step explanation:

Because y=2 and x=4, we would do 4 divided by 2 (2/4=y/x) To get 2

Graded Assignment Unit Test, Part 2:

Unit 5 Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.

Be sure to include your work and WRITTEN Explanation

Juan wants to buy a video game for $63. He saves $12 every Friday.

How many Fridays will it take for Juan to save up enough money for the video game?

Answer: Show your work and explain!

Answers

Answer:

Step-by-step explanation:

if you divide the 63 by the 12 it would be 5.25 so it would take 6 fridays to save up!

Juan needs $63. He gets 12 every Friday.

1) divide 63 by 12 = 5.25

Answer :6

evaluate 1/4 (15 + h) - g , when h=5 and g= 1

Answers

Answer:

4

Step-by-step explanation:

1/4(15+5)-1

1/4 x 20-1

1/4 x 20 = 5

5-1 = 4

Answer:

4

Step-by-step explanation:

In pea plants, the gene for the color of the seed has two alleles. In the following Punnett square shown below, the dominant allele (Y) represents yellow and the recessive allele (y) represents green.

Based on the Punnett square, what percentage of offspring would be expected to have green seeds?

Screenshot below if u don't understand and the diagram :)

Answers

0% if you fill out the chart, it shows that there is a capital letter in each little box meaning it has at least one dominant. Dom covers Recessive

hi can you plz help will mark brainlest

Answers

The answer is x ≥ -9
Answer: from negative eight to 6

Step-by-step explanation:

extra points and brainllyest.
Solve ten and one seventh plus two and five sevenths.

eight and twelve forty ninths
eight and six forty ninths
twelve and four sevenths
twelve and six sevenths

Answers

Answer:

12 and 6 7ths

Step-by-step explanation:

Add numbers and add fractions (7ths)

Answer:

90/7

404/49

398/49

88/7

90/7

The area of the triangle is less than 18 square inches. Select an inequality that represents a

Answers

Answer:

(1/2)(6)(a) < 18

Step-by-step explanation:

We know the formula for the area of a triangle is 1/2 b x h

The base is 6in and the height is a, so the equation is 1/2 6 x a.

The area is less than 18 sq in, so 1/2 x 6 x a < 18

Now, let's solve the inequality.

1/2 6 x a < 18

3 x a < 18

a < 6

Hope this helps :)

URGENT


H is proportional to the square of J. When H = 36, J = 3. Find the value of H when J = 8

Answers

Answer:96

Step-by-step explanation:

H=Jx12. So, multiply 8 by 12 to get 96

The answer is 96 because I just looked how many times the

Find the value of the sum ∑j=131(6j2−7j+4)

j
=
1
31
(
6
j
2

7
j
+
4
)
. Use a summation formula, if possible.

Answers

I don’t know but I really need answers
I think that’s sum numbers like 1+3

What is the |-9|? Type your answer as a single integer only.

Answers

9, its 9, trust me, its 9.

Answer:

9

Step-by-step explanation:

Which value is FURTHEST from 0 on the number line?

20

-21

|20.5|

|-21.5|

Answers

|-21.5|

it doesn't matter which direction because its just furthest from 0 so you just need to find the highest number and you can ignore any negative signs

|-21.5| is the furthest from 0 on a number line.

how do you find the slope of a line on graph

Answers

Answer:

look at the picture .......................

Answer:

y2-y1/x2-x1

Step-by-step explanation:

first step is to get to pints on the graph

for example

(2,3) and (4,6)

From these points we will plug them into the formula as such.

6-3 divided by 4-2

subtracting first we get

3 divided by 2

In a fraction this will be your answer. Just use the formula.

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