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

Find the slope of line:6x+3y=21

Answers

Answer:

-2

Step-by-step explanation:

6x+3y=21

Bring the equation to y=mx+c form

3y=21-6x

y=-2x+7

When comparing, m=-2

Slope m=-2

first, subtract 6x from both sides: 3y= -6x+21
next, divide everything by three: y= -2x + 7, the slope would then be -2 & the y-intercept would be 7

What is the equation of a line that is parallel to the line y = 2x + 7 and passes through the point (–2, 4)? A. y = −12x + 3 B. y = 2x + 4 C. y = −12x − 2 D. y = 2x + 8

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

y = 2x + 7 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = 2x + 8 → D

At 8:00, the temperature was -6°. Three hours later, the temperature dropped 13°. What is the temperature at 11:00?

Answers

Answer:

-19 degrees

Step-by-step explanation:

13+6=19

you would need to add the negative since it said dropped in temperature and the temperature was already negative.

I need help with this question.
-3(k+5)>-7-3k

Answers

Answer:

no solution

Step-by-step explanation:

-3(k+5)>-7-3k

Distribute

-3k -15 > -7-3k

Add 3k to each side

-3k+3k -15 > -7-3k+3k

-15 > -7

This is not true so there is no solution

PLS ANSWE PLS NEED HELP ASAP

Answers

Answer:

D. 75

Step-by-step explanation:

Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)

180-105 = 75. Sorry if wrong

Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $80 in addition to $13.35 per hour. Singer B is offering her services for an initial $86 in addition to 11.65 per hour. When will the two singers charge the same amount for money?

Answers

Answer:

The two singers will charge the same amount for money at 3.53 hours

Step-by-step explanation:

Let the number of hours be represented by y

Ida needs to hire a singer for her wedding.

Singer A is offering his services for an initial $80 in addition to $13.35 per hour.

= $80 + $13.35(y)

= 80 + 13.35y

Singer B is offering her services for an initial $86 in addition to 11.65 per hour.

= $86 + $11.65 × y

= 86+ 11.65y

When will the two singers charge the same amount for money?

Singer A = Singer B

80 + 13.35y = 86+ 11.65y

Collect like terms

= 13.35y - 11.65y = 86 - 80

1.7y = 6

y = 6/1.7

y = 3.5294117647 hours

Approximately = 3.53 hours

The two singers will charge the same amount for money at 3.53 hours

THANKS FOR EVERYBODY HELPING ME I WILL GIVE FREE ROBUX

Answers

Answer:

6 times

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

add me on discord fun54658#0871

Can someone check my answers for my homework im not sure i did it right​

Answers

Answer:

i think you did it right :)

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Don't worry about anything you got it. Great work!

log81 27 what does this equal

Answers

Answer:

3.90993025975

Step-by-step explanation:

Kylie is studying the change in the water level of Sweetgum Pond as part of a summer science experiment. In the first week of June, the change in the water level was – 4 centimeters. The next week it stormed almost every day, so the water level rose 7 centimeters.

Answers

Answer:

3 centimeters

Step-by-step explanation:

The computation of the change in the water level over the first two weeks of June is shown below:

= Rise in the water level - changed in the water level

= 7 centimeters - 4 centimeters

= 3 centimeters

hence, the change in the water level is  3 centimeter and the same is to be considered

We simply applied the above formula so that the correct value could come

Answer:

3

Step-by-step explanation:

This recipe makes 5 portions of fajitas.
Carly has 700 g of chicken, 800 g of peppers, 200 g of onion, 70 g of spice mix and 16 tortillas.
How much more of each ingredient will she need to make 15 portions by following this recipe?
Recipe: Serves 5
400 g chicken
600 g peppers
70 g onion
20 g spice mix
10 tortillas
PLS HELP ME I NEED IT BAD!!!!!!!!!!!!

Answers

Answer:

Chicken: 500g

Peppers: 1kg

Onions: 10g

Tortillas: 14

Step-by-step explanation:

hope this helps

z=m-a-b, for a PLS ASAP

Answers

Answer:

a=m-b-z

Step-by-step explanation:

Answer:

a = -z + m -b

Step-by-step explanation:

Sorry my handwriting is a bit messy,  but hopefully it helps. Have a great day!

What does on the top number line represent?

Answers

Answer:

The top line is a pure gross sales number showing how much revenue the company brought in for a given period.

) Write an integer that represents the following scenario: Jenna deposited (put in) forty dollars into her savings account..

Answers

Answer:

hi blair. we go to school together.

Step-by-step explanation:

PLEASE HELP ME I REALLY NEED HELP ON THIS QUESTION!!!!\

Keyleanis and her friend both started a part-time job at McDonnald earning $14 per hour. Claudia worked 38 ½ hours her first week. Keyleanis agreed to pay her friend 1/5 of her salary for reimbursement off gas and food. How much money did Keyleanis pay her friend for gas?

Answers

Answer:

[tex]total \: earning \: in \: a \: week \: \\ = 14 \times \frac{77}{2} \\ = 7 \times 77 \\ = 539 \\ now \: pay \: for \: her \: friend \\ 539 \times \frac{1}{5} = 107.8[/tex]

Is Mr. Martin a hero? xplain why or why not.

Answers

What do you mean show a picture of the question so i can help you

Answer:

mr martin was a hero in my eyes he saved many lives and was one of the strongest people to ever live (who is mr martin?)

Step-by-step explanation:

Help I’m so confused

Answers

Answer:

its a

Step-by-step explanation:

It is A because it’s the only one that makes sense

Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.

Answers

Answer:

What is the least number of plates and cups she can buy?

The least number of cups of plates and cups she can buy is 24

How many packs of plates?

3 packs of plates

How many packs of cups?

2 packs of cups

Step-by-step explanation:

What is the least number of plates and cups she can buy?

We solve this using the Lowest Common Multiple method

The L.C.M of 8 and 12

Multiples of 8: 8, 16, 24, 32, 40

Multiples of 12: 12, 24, 36, 48

Therefore,

LCM(8, 12) = 24

Hence, the least number of cups and plates she can buy is 24

How many packs of plates?

Plates are sold in packs of eight

Hence: 24 ÷ 8 = 3 packs of plates

How many packs of cups?

Cups are sold in packs of 12

Hence: 24 ÷ 12 = 2 packs of cups

a fair coin is tossed 14 times, what is the probability of exactly 6 heads

Answers

Answer:

42.85% or 6/14

Step-by-step explanation:

6 / 14 = 0.428571428571

0.428571428571 * 100 ~ 42.85%                

Can I get Brainliest?                    

The parallel lines have ---------------- slope.

A. negative reciprocal
B. complementary
C. equivalent
D. opposite

Answers

Answer:

equivalent

Step-by-step explanation:

equivalent because they have to be the same and not intersecting with eachother♡ Hope it helps ;)

C because they have to be equivalent to be parallel

PLS PLS PLS PLEASEEE HURRY UP

Answers

Answer:

Step-by-step explanation:

d

What number goes before 8 but is not 7?

Answers

Answer:

7.01

7.02

7.03

7.04

and on and on till

7.99

or 7 1/100 7 2/100 and on and on

Step-by-step explanation:

Can you also tell me if the others are right? please? ​

Answers

Answer:

the others are right

Step-by-step explanation:

good work keep going

How many 1/3 inch pieces can be cut from 7/15 of an inch long

Answers

Answer:

1.4

Step-by-step explanation:

The Huggins family went out to dinner. The price of the meal was $62.95. The sales tax is 8% of the
price of the meal. The tip is 15% of the meal and the sales tax. How much money did the family
pay for the meal, including tax and tip?

Answers

Answer:

$62.95 (meal) + $5.03 (sales tax) +$.75 (sales tax tip) + $9.44 (meal tip)

Total: $78.17

Answer:

$78.19

Step-by-step explanation:

To find the total after the sales tax is charged you have to do

$62.95 x 1.08 (1 = to the total and .08 to add sales tax value) =$67.986  round*

Now you take $67.99 (has been rounded) and multiply but .15 to find out what is 15% of $67.99 , it comes out to be 10.1979 (Round)

Now to finish you add $67.99 +$10.20 = $78.19

Heyyy yugiii :)) what’s 20 times 50 minus 16 plus 28?

Answers

Answer:

hey do you want to do a zoom

Step-by-step explanation:

i am done with my basketball game

Explain what is square root in simple form using example. ​

Answers

If something is written in its simplest radical form, that means that you have already found all possible roots and eliminated any radicals from the denominator of a fraction. ... For example, if your fraction is 2/√7, multiply by √7/√7 to get 2√7/√49. This will simplify to 2√7/7.  hope this helps

Answer:

Square roots are the opposite of “squaring” a number, or multiplying it by itself. For example, three squared is nine (3 2 = 9), so the square root of nine is three. In symbols, this is √9 = 3. The “√” symbol tells you to take the square root of a number, and you can find this on most calculators.

Step-by-step explanation:

hope it helps

pls help this is due today

Answers

Answer:

50.137

Step-by-step explanation:

You can split the triangle into two triangles both with base 3 and height 12

The area of the two triangles is

[tex]2 * (1/2) * B * H\\B*H = 3* 12 = 36[/tex]

The area of a circle is [tex]\pi r^2[/tex]

so the area of the semi circle with r(adius) 3 is

[tex]\pi r^2/2\\9\pi/2[/tex]

[tex]9\pi/2 + 36 = 50.137[/tex]

A negatively charged balloon comes close to a positively charged cloth. What will happen​

Answers

Answer:

It will attract and move towards each other

Answer: The balloon will be attracted to the cloth i hope this helps :D

Step-by-step explanation:

the sum of the 2 integers is -112. if one of them is -109 find the other​

Answers

Answer:

let x and be the two integers

x+y=-112

if one of them is -109

let x be one of the that is substitute-109 to the above equation

-109+y=-112

collect like terms to the left hand side.

-109+112=-y

3=-y

move the sigh to the constant

y=-3

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