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
The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2
dangina [55]

Answer:

irrational

Step-by-step explanation:

A = s^2

s^2 = 24,200

s = \sqrt{24200}

s = \sqrt{242 \times 100}

s = \sqrt{100 \times 121 \times 2}

s = 10 \times 11\sqrt{2}

s = 110\sqrt{2}

P = 4s

P = 4 \times 100 \sqrt{2}

P = 440 \sqrt{2}

The perimeter is irrational.

3 0
2 years ago
A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon-per-minute showerheads. Each m
kykrilka [37]

Answer:

Family will save 3600 gallons of water by replacing the shower-heads.

Step-by-step explanation:

Number of family members in a family = 5

Each member of the family averages shower per day = 8 minutes

Total time for shower = 5×8 = 40 minutes

With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons

Water consumption in 30 days = 200×30 = 6000 gallons per month

After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day

Water used in one month = 80×30 = 2400 gallons

Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons

Therefore, family will use 3600 gallons less water by replacing the water saving water heads.

8 0
2 years ago
Why might the triangulation method not always produce an exact point (other than any measurement errors)
Rufina [12.5K]

Answer:

The triangulation method might not always produce an exact point (other than any measurement errors) because:

The method uses different data sources, researchers, and theories or perspectives.

Step-by-step explanation:

Research Triangulation uses multiple methods, data sources, different investigators, and varied theories for the purpose of developing a more comprehensive understanding of the underlying situations.  Triangulation validates the qualitative research by obtaining information from different sources, investigators, viewpoints, or methods.

3 0
2 years ago
A triangular flag has an area of 187.5 square inches. The base of the flag measures 25 inch How tall is the triangular flag?
djyliett [7]
To find the height, you would do the area divided by the base, or in this case,187.5 / 25 which equals 7.5 inches.  Hope this helped!
3 0
2 years ago
Mr. Donahue is building a patio in his backyard he wants the patio to cover 1/4 of the yard Mister Donahue wants to know the are
krok68 [10]

Answer:

36 square feet

Step-by-step explanation:

area of the yard: 12×12=144

patio should be 1/4 of the yard, so 144:4=36 is the area of the patio

5 0
1 year ago
Other questions:
  • brady buys 3 gallons of fertilizer for his lawn. after he finishes spraying down the lawn he has 1 quart of fertilizer left over
    12·1 answer
  • a system of equations has infinitely many solutions. if 2y – 4x = 6 is one of the equations, which could be the other equation?
    13·2 answers
  • If a person invests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years.
    8·2 answers
  • If two lines are perpendicular describe the relationship between their slopes
    14·1 answer
  • A student estimated a mass for by 325g, but upon carefully mesuring it, found the actual mass to be 342g. What is the percent er
    8·1 answer
  • MISSY SAYS THAT 5/6 EQUALS 6 DIVIED 5 IS SHE CORRECT? WHY ORWHY NOT.
    11·2 answers
  • kabir spends 1/3of his pocket money on books,1/5on traveling and rest on food.if his pocket money is 450 rupees how much money d
    5·1 answer
  • The expected number of typographical errors on any page of a certain magazine is 0.2. What is the probability that a certain pag
    5·1 answer
  • Shawna and her best friend Keisha go shopping. The function p(x) = 3x4 + 2x3 − 4x2 + 21 represents how much money each girl spen
    12·1 answer
  • A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!