1answer.
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
sergiy2304 [10]
3 years ago
9

Item 2 At a park, there are 38 people playing tennis. Some are playing doubles (2 teams of 2 people each) and some are playing s

ingles (1 person against 1 person). There are 13 matches in progress. A doubles match requires 4 players, and a singles match requires 2 players. How many matches of each type are in progress?
Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

Number of doubles games = 6

Number of singles games = 7

Step-by-step explanation:

Let the number doubles be d and number of singles be s.

There are 13 matches in progress.

                         d + s = 13  ----------------------eqn 1

There are 38 people playing tennis. A doubles match requires 4 players, and a singles match requires 2 players.

                    4 d + 2 s = 38  ----------------------eqn 2

eqn 1 x 2

                         2d + 2s = 26  ----------------------eqn 3

eqn 2 - eqn 3

                          4 d + 2 s -  2d + 2s = 38 - 26

                             2d = 12

                                d = 6

Substituting in eqn 1

                            6 + s = 13          

                                   s = 7

Number of doubles games = 6

Number of singles games = 7

You might be interested in
If the midpoint of a line segment is (-1,1) and one endpoint is (-3,-10) what is the other endpoint?
katrin2010 [14]

Answer:

Step-by-step explanation:

(x - 3)/2 = -1

x - 3 = -2

x = 1

(y - 10)/2 = 1

y - 10 = 2

y = 12

(1, 12)

7 0
3 years ago
Select the statements that are true for the graph of y=(x+2)2+4 .
guapka [62]
I think you probably meant <span>(x+2)^2+4 because the equation you have provided is not written in proper formatting and would actually be a straight line. However, if you meant for that second 2 to be an exponent, you now have a quadratic equation which would graph as  a parabola. Remember the basic formula is y=(x-h)^2 +k where (h,k) is your vertex. So you change the sign of the number in the parenthesis, but not the number outside the parenthesis when finding the vertex. If there is a negative number in front of your equation, then the parabola is flipped upside down so the vertex would be a maximum, but if it is positive, or has nothing in front of it, then the parabola sits up like a bowl so the vertex is a minimum.</span>
8 0
3 years ago
A number x multiplied by 25 is 320.
salantis [7]

Answer:

12.8

Step-by-step explanation:

5 0
3 years ago
A new pair of tennis shoes at shoe show costs $80. They are on sale for 1/4 off. The sales tax is 5%. Find the total price.
oee [108]
80* 1/4= 20
80-20= 60
60.00* 5
$3.00
$63.00
I hope this is correct, good luck!
3 0
4 years ago
If y= 1/4x and x = -12, find y.
11111nata11111 [884]

Answer:

y = -3

Step-by-step explanation:

y= 1/4x and x = -12

Substitute x=12 into the first equation

y = 1/4(-12)

y = -3

6 0
4 years ago
Read 2 more answers
Other questions:
  • Which unit represents 100 meters
    8·1 answer
  • Charlie reads quickly. He reads 1 3/7 pages every 2/3 minutes. Charlie reads at a constant rate
    15·1 answer
  • Which of the following will not cause a short-run shift in the supply curve? a change in the number of sellers a change in the c
    9·1 answer
  • It takes 18 electricians 35 days to wire a new housing subdivision. How many days would 28 electricians require to do the same j
    5·2 answers
  • Describe how to find the least common multiple of three numbers. Give an example
    6·1 answer
  • The quotient of a number n and 15
    5·1 answer
  • The tax rate on groceries
    10·2 answers
  • I need the answer to this please!
    11·2 answers
  • What is m∠C?<br><br><br><br> Enter your answer in the box.
    8·1 answer
  • PLS HELP I NEED THIS QUICKKKKK
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!