answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tresset_1 [31]
2 years ago
12

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
Mathematics
1 answer:
Olenka [21]2 years ago
6 0

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

You might be interested in
Solve the equation 1 4 (16 + 12x) = 28 by first using the distributive property. The equivalent equation is found by distributin
BARSIC [14]

Answer:

8

Step-by-step explanation:

Given the equation 1/4 (16 + 12x) = 28, to solve this first we open the bracket using the distributive property. According to this property, given A, B and C then:

A(B+C ) = AB+AC

Step 1:

1/4 (16 + 12x) = 28

= 1/4(16)+1/4(12x) = 28

= 4+3x = 28

Step 2:

We move 4 to the other side to have:

3x = 28-4

3x = 24

Step 3:

Divide both sides by 3 to have,:

3x/3 = 24/3

x = 8

The answer is 8

6 0
2 years ago
Read 2 more answers
Davis has 141 figures in his action figure collection. One-third of the figures are sports related. How many of the figures in D
Lelu [443]

We have been given that Davis has 141 figures in his action figure collection. One-third of the figures are sports related.

To find the number of figures that are not sports related we will find 2/3 of 141 as 2/3 of the figures will be not related to sports.

\text{ Figures not related to sports}=141\times\frac{2}{3}

\text{ Figures not related to sports}=47\times2

\text{ Figures not related to sports}=94

Therefore, 94 figures in Davis’ collection are not sports related.

 

7 0
2 years ago
Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving
sineoko [7]
<span>D=20+50t 120=20+50t 50t=100 t=2 hours Domain of t from t=-(2/5)hr to t=2hr. Since they already drove 20 miles. [-2/5,2]</span>
5 0
2 years ago
The graph shows the distance a ball has traveled x seconds after it was thrown what is the average speed between 2 seconds and 8
docker41 [41]

Answer:

0.5

Step-by-step explanation:

5 0
2 years ago
Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can
earnstyle [38]

Answer:

The answer is 3√5 mi.

The formula is: d = √(3h/2)

Wyatt:

h = 120 ft

d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi

Shawn:

h = 270 ft

d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi

How much farther can Shawn see to the horizon?

Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi

3 0
2 years ago
Other questions:
  • Thomas invested $8,500 for one year. Part of the money was invested at6% and the rest at 9%. The total interest earned was $667.
    9·1 answer
  • Cole earns $12.50 per hour and will receive a $0.75 per hour raise every year. Adam earns $10.50 per hour and will receive a $2
    8·1 answer
  • What equation represents a population of 210 animals that decrease at an annual rate of 14%?
    10·1 answer
  • Which linear equation represents on the graph
    11·1 answer
  • Which graph represents an even function
    7·1 answer
  • A surveyor measures the length of a surveying chain containing 1000 chain links. The length is 0.0533km. What is the length of a
    11·1 answer
  • A population consists of the following five values: 1, 3, 4, 4, and 6. List all samples of size 2 from left to right without rep
    13·1 answer
  • Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that
    6·1 answer
  • The scatter plot below can be used to find the approximate rate at which water flows through a garden hose. The line of best fit
    11·1 answer
  • A composition of transformations ΔKLM maps ΔK"L"M" to . Triangle K L M is rotated 270 degrees about point P to form Triangle K p
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!