The Newton city park has 11 basketball courts which are all in use. There are 54 people playing basketball some are playing one on one and some are playing in teams. A one on one game requires two players and a team game requires 10 players. Write a system of equations that represents the number of one on one and team games being played

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Number of basket ball courts = 11

Total number of people playing basketball = 54

Number of players required for one on one game = 2

Number of players required for team game = 10

Inequality to represent number of one on one and team Games being played :

Let one on one games = a

Team games = b

Number of players required for each game * number of games

2a + 10b = 54 - - - (1)

a + b = 11 - - - (2)

a = 11 - b

2(11 - b) + 10b = 54

22 - 2b + 10b = 54

8b = 32

b = 4

a = 11 - b

a = 11 - 4

a = 7

Number of one on one games = 7

Number of Team games = 4


Related Questions

Can someone please help me?

Answer choices:

-Less than
-Greater than
-Greater than or equal to
-Less than or equal to

Answers

Answer:

4 + √15 > 3 + √6

Step-by-step explanation:

Hi there !

√15 ≈ 3.87

4 + 3.87 = 7.87

√6 ≈ 2.44

3 + 2.44 = 5.44

7.87 > 5.44

4 + √15 > 3 + √6

Good luck !

Carl is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points past the finish line. On Carl's map, the last water station is at − 27 1 4 −27 4 1 ​ minus, 27, start fraction, 1, divided by, 4, end fraction meters, and his family is watching him at 9 1 2 9 2 1 ​ 9, start fraction, 1, divided by, 2, end fraction meters. What does 0 00 meters represent?

Answers

Answer:

0 represents the start point

Step-by-step explanation:

Given

[tex]Before\ Finish\ Line = -27\frac{1}{4}[/tex]

[tex]After\ Finish\ Line = 9\frac{1}{2}[/tex]

Required

What does 0 represents

In a race; there's always a starting point, irrespective of the current position of the racer.

This position is always at the 0 point.

Hence:

The 0 meters represents the start point

Answer:

The finish line

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

Answers

Answer: The initial value of the function is 625. This means that the first child costs $625 to send to camp.

Step-by-step explanation: I took the quiz

HELP WHOEVER IS FIRST GETS BRAINLIST!!!

Answers

Answer:

y = (-2/5)x + 3

Step-by-step explanation:

(2/5)x + y = 3

y = (-2/5)x + 3

Write the equation of the line that passes through the points (-3, -7) and (-3,-4) put your answer in fully reduced point slope form unless it is a vertical or horizontal line

Answers

Answer:

the equation is x=-3

Step-by-step explanation:

no matter what, the x values are the same, if you have the same values in the same line, it is most likey a vertical line

$1000, 2%, 9 months what is the simple interest​

Answers

Answer:

principal =1000

time=9

rate=2%

or simple interest = p×t×r/100

= 1000×9×2

=Rs.18000

Answer:

$180

Step-by-step explanation:

Turn 2% to 0.02 then make the formula

1,000*0.02*9=180

A zookeeper predicted the weight of a new baby elephant to be 245 pounds when it was born. The elephant actually weighed 277 pounds at birth. What was the percent error of the zookeeper's prediction?

Answers

Answ

Step-by-step explanation:

3200%


Sally is 6 years older than Ali. Together the sum of their ages is 34. How old is each of them?

Answers

Answer:

34-6=?

Step-by-step explanation:

34-6=?

Answer:

Ali is 14

Sally is 20

Step-by-step explanation:

let's call Sally S.

let's call Ali A.

using what's given, you can make this equation:

A + 6 = S

(because Ali is 6 years younger than Sally)

you can also make this equation:

A + S = 34

(because the sum of their ages is 34)

now, substitute S for A + 6.

A + A + 6 = 34

2A + 6 = 34

subtract 6 from both sides of the equation

2A + 6 - 6 = 34 - 6

2A = 34 - 6

2A = 28

divide both sides of the equation by 2

2A/2 = 28/2

A = 28/2

A = 14

almost done! now you just need to substitute A for 14 in the first equation.

A + 6 = s

14 + 6 = s

20 = s

Ali is 14

Sally is 20

If 3+k,18-k,5k+1 are in A.P, then find k​

Answers

Given:

• 3 + k , 18 - k and 5k + 1 are in AP .

To find :

• The value of K .

Solution :

• As we know that, In AP common difference is same :

• b - a = c - b

=> 2b = a + c

Here ,

• a = 3 + k

• b = 18 - k

• c = 5k + 1

=> 2 ( 18 - k ) = 3 + k + 5k + 1.

=> 36 - 2k = 4 + 6k

=> 36 - 4 = 6k + 2k

=> 32 = 8k

=> k = 32/8

=> k = 4

Hence , the value of k is 4.

Answer:

k=4

Step-by-step explanation:

Since the given terms are in A.P., the common difference will be the same

So, 18-k-3-k = 5k+1-18+k

15-2k = 6k-17

6k+2k = 17+15

8k = 32

k = 4

If a=21m and c=35m what is the length of side b using the pythagorean
theorem?

28m
28
45

Answers

The answer is 28m. You’re welcome; Brainliest would be appreciated though :)

Estimate and then solve the equation.


x − 174

5

= − 131

5


The estimated equation is

.

The estimated solution is x =

.

The actual solution is x =

.

Answers

Answer:

Estimate and then solve the equation.

x − 174

5

= − 131

5

The estimated equation is

✔ x – 18 = -13

.

The estimated solution is x =

✔ 5

.

The actual solution is x =

✔ 4 3/5

.

Hope this helps!

edugenuity

It takes 140 minutes to finish a 40-question math test. How many minutes does it take, on average, to solve each math problem? * O 2 1/2 minutes 4 1/4 minutes O 3/4 minutes O 32 minutes​

Answers

The answer will be 3.5 minutes.

Answer:

Step-by-step explanation:

Average = Questions / Time

Average = 140 / 40 = 14/4 = 7/2 = 3 1/2 = 3.5

None of the answers are the same as mine. I'm pretty sure min is correct. Ask your instructor what you should answer.

help TWT ;-;-;-;-;-;-;​

Answers

Answer:1

Step-by-step explanation:

Answer:

the answer is 1

Step-by-step explanation:

Hey guys Vsauce here I am very dum and don't now what 9+10 equals can sum mega mind help a fellow dude out and give me the answer

Answers

Answer:

If you want the real answer, its 19.

If you want the meme answer, its 21.

lol

the answer is 19 also don't waste points you might need it

7(x−5)−9=334 what is the answer of x

Answers

Answer:

[tex]\boxed {x = 54}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]7(x - 5) - 9 = 334[/tex]

-Use Distributive Property:

[tex]7(x - 5) - 9 = 334[/tex]

[tex]7x - 35 - 9 = 334[/tex]

-Combine like terms:

[tex]7x - 35 - 9 = 334[/tex]

[tex]7x - 44 = 334[/tex]

-Add both sides by [tex]44[/tex]:

[tex]7x - 44 + 44 = 334 + 44[/tex]

[tex]7x = 378[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7}= \frac{378}{7}[/tex]

[tex]\boxed {x = 54}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]54[/tex].

Gregory applies honey to one side of his toast. He wants to estimate the likelihood that the toast will land with the honey side facing up when dropped. He drops the toast 40 times and finds that it lands with the honey side facing up 8 times. From this data, it is that the toast will land with the honey side facing down.

Answers

Answer:

A) likely

Step-by-step explanation:

It is likely that the toast will land with the honey side facing down. This is because if we find the percentage of chance/probability of the honey side facing down using the data provided it would be the following...

8 / 40 = 0.20 .... times 100 to find percentage value

0.20 * 100 = 20%

We see that there is a 20% that the honey side will land facing down every time that you drop the piece of toast. This means that there is an 80% chance that the honey side will land facing down which is ultimately a high probability and a very likely chance of it happening.

Answer:

It is likely, I got it right on the test.

Step-by-step explanation:

Raymond wants to run 15/16 mile after school. The school’s track is 3/16 mile long. How many laps around the track will Raymond have to run?

Answers

he has to run 5 laps
5 laps hope this helps

و please tell me what the slope is​

Answers

Answer: slope = 6

Step-by-step explanation:

Slope is rise over run.

Find two perfect points and see how many up/down you go and how many left/right you go.

On this one, you go up 6, right 1.

6/1 is 6.

Hope this helps!

Answer:

6

Step-by-step explanation:

m=y2-y1/x2-x1

take two points from the graph (0, -1) and (1, 5)

5-(-1)=6

1-0=1

6/1=6

hope this helps :3

Which number line represents all of the values of X for the equation X^2 equals 64?

Answers

Answer:

The first one

Step-by-step explanation:

are lines a and b parallel? and could you explain?

Answers

They are parallel because the lines would never intersect or touch each other
I mean they look straight so yeah man

Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan $255.94. What was the amount of the loan?

Answers

Answer:

$243.17

Step-by-step explanation:

X+(X*5.25/100)=255.94

Make x the subject

X=243.17

You are helping to prepare a large kettle of chicken noodle soup. You need to peel 60 carrots. You have peeled 18 carrots already. It has taken you 9 minutes to peel the 18 carrots. How many more minutes will it take you to peel the rest of the carrots?

Answers

Answer:

21 minutes

Step-by-step explanation:

60 - 18 = 42

18 carrots ÷ 9 minutes = 2 carrots per minute

42 ÷ 2 = 21

Pampered Pooch charged $10 for 2 hours of doggie daycare and $20 for 4 hours. What is the unit rate? Show your work.

Answers

Answer:

$5

Step-by-step explanation:

1=$5 so 2 hours = 10 SO 4hours ×$5= $20

Answer:

$5 per hour

Step-by-step explanation:

hope this helps :D

cheers man

Which of the following statements is true?

The number 0 is a natural number.
The number is an integer.
The value π is a rational number.
The number -5 is a real number.

Answers

Answer: the number -5 is a real number

Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.

Hope this helps!

Answer:

the number -5 is a real number

Step-by-step explanation:

Your first job is to babysit a couple of times a week. You charge a flatfeet of $10 for transportation back and forth to the house plus $5.50per hour. Let t be the time in hours that you babysit. Write algebraic expression to define the amount of money you will make for t hours of work.

Answers

Answer: 10 + 5.5t

Step-by-step explanation:

Amount charged for transport = $10

Amount charged pee hour of babysitting = $5.50

Number of hours to babysit = t

The algebraic expression to define the amount of money you will make for t hours of work will be:

= $10 + $5.50t

= 10 + 5.5t

Carmen is writing an article for a magazine. She will be paid a fee and also will be paid for each word that is published. The total amount she can expect to be paidin dollars, can be estimated using the function f(x) = 2.5x + 150 , where is the number of words published . What is the inverse of this function?

Answers

Answer:

The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]

Step-by-step explanation:

An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:

If f(a)=b then f⁻¹(b)=a

That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.

To construct or calculate the inverse function of any function, you must  follow the steps below:

Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values ​​(that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.

You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150

Solving for x:

2.5*x +150=y

2.5*x= y-150

[tex]x=\frac{y-150}{2.5}[/tex]

[tex]x=\frac{y}{2.5}-\frac{150}{2.5}[/tex]

[tex]x=0.4y-60=\frac{2}{5}y-60[/tex]

Exchanging the variable, you obtain that the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]

Plz help !!!! Failing class plz help!!

Answers

Answer:

that is alot  I  would help you but I don't know how to do it

Step-by-step explanation:

Please!
Which type of transformation is shown here?
A)
dilation
B)
reflection
C)
rotation
D)
translation

Answers

Answer:

A

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Clue 1: The GCF of the mystery pair is 7. Clue 2: The LCM of the mystery pair is 70. Clue 3: Both of the numbers in the mystery pair have two digits. Clue 4: One of the numbers in the mystery pair is odd and the other is even. What is the mystery pair?

Answers

Answer:

14 and 35 I believe.

Since the GCF of 14 and 35 is 7, the LCM is 70 (14×5 and 35×2), they both have 2 digits, and one is even (14) and the other is odd (35).

I hope this helped!

The mystery pair would be required for numbers 14 and 35.

What is HCF?

The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We need to write 70 as the product of its prime factors, which is 70.

⇒ 2 × 5 × 7

14 × 5 and 35 × 2

Given that the GCF of the mystery pair is 7

And the LCM of the mystery pair is 70.

Here the GCF of 14 and 35 would be 7

As per the given condition,

The required numbers in the pair have two digits,

Therefore, the even number is 14, and the odd is 35.

Hence, the mystery pair would be required for numbers 14 and 35.

Learn more about the highest common factor here:

https://brainly.in/question/3803222

#SPJ2

Find the slope of AB through points A(1,7) and B(-1,4). m of AB=

Answers

Hi there & welcome to brainly !

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{ \frac{3}{2}}}}} [/tex]

Step-by-step explanation:

Given :

A ( 1 , 7 ) , B ( - 1 , 4 )

To find :

Slope = ?

Solution :

Let A ( 1 , 7 ) ↦ ( x₁ , y₁ )

Let B ( - 1 , 4 ) ↦ ( x₂ , y₂ )

Finding the slope :

[tex] \boxed{ \tt{slope \: ( \: m)= \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex] \sf{↦ \: slope = \frac{4 - 7}{ - 1 - 1}} [/tex]

[tex] \sf{↦ \: slope = \frac{ - 3}{ - 2}} [/tex]

[tex] \sf{↦ \: slope = \boxed{ \sf{ \frac{3}{2} }}}[/tex]

And we're done !

Hope I helped!

Best regards! :D

~TheAnimeGirl

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