If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played? Write and solve a system of equations .
pllzz help 20 pointsss

Answers

Answer 1

Answer:

13 points

Step-by-step explanation:

Equation for "There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games ("3 on 3") or the 2-player games ("1 on 1").

Equation for "If the neighborhood holds 13 total games and all 50 athletes participate"

How many 6 player games?

How many 2 player games?

Answer 2

The answer to this question is:

7 two-player games are played

6  six-player games are played

What are system of equations?

A collection of two or more equations with the same set of unknowns is referred to as a system of equations.

Systems of linear equations in two variables can be solved in one of three ways:

by graphing; by the substitution approach; or by the elimination method.

Solution:

Given:

Total games = 13

Total number of athletes participated = 50

Find:

6-player games played = ?

2-player games played = ?

Step-1:

let x denote the total 2-player games played &

    y denote the total 6-player games played.

Hence the equation for the total number of games played is:

                     x + y = 13 ..............eq(1)

Now, the equation for the total number of games played by the athletes is:

                    2x + 6y = 50............eq(2)

Further eq(2) can be reduced as-

                   2(x + 3y) = 50

                    x + 3y = 50/2

                     x + 3y = 25.........eq(2)

Step-2:

Solving eq(1) and eq(2) by using elimination method as follows:

                      x + y = 13

                      x + 3y = 25

Step-3:      

In the elimination method positive signs changes to negative and x gets eliminated so we get the y value as:    

-2y = -12

y = 6

Substituting y value in eq(1): x+ y = 13

                                               x + 6 = 13

                                               x = 13 - 6

                                              x = 7

Hence we found out that total 7 two-player games and 6 six-player games were played.  

Learn more about "System of equations" here:

brainly.com/question/13729904    

#SPJ2      


Related Questions

During a school event, Noah is selling pizza at the food stand for $1.25 per slice. How many slices of pizza would Noah need to sell to earn $120? Explain your reasoning.

Answers

Answer:

96

Step-by-step explanation:

120/1.25=96

Noah needs to sell 96 slices of pizza to earn $120.

Please help me solve 5 and 6 for my homework

Answers

Answer:

(5) The perpendicular height of the triangle is 8.48 mm.

(6) The 1184.86 cm far up the wall the ladder reach.

Step-by-step explanation:

Part (5):

When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.

The figures is shown below.

In ΔABC,

CB = 6 mm

So,

CD = BD = 3 mm

Now calculating the perpendicular height of the triangle.

Using Pythagoras theorem in ΔADC:

[tex](AC)^2=(CD)^2+(AD)^2\\\\(9)^2=(3)^2+(AD)^2\\\\81=9+(AD)^2\\\\(AD)^2=81-9\\\\(AD)^2=72\\\\AD=8.48mm[/tex]

Thus, the perpendicular height of the triangle is 8.48 mm.

Part (6):

The figure is shown below.

Converting meter to centimeter:

1 m = 100 cm

So,

12 m = 1200 cm

Using Pythagoras theorem in ΔXYZ:

[tex](XZ)^2=(YZ)^2+(XY)^2\\\\(1200)^2=(190)^2+(XY)^2\\\\1440000=36100+(XY)^2\\\\(XY)^2=1440000-36100\\\\(XY)^2=1403900\\\\XY=1184.86cm[/tex]

Thus, 1184.86 cm far up the wall the ladder reach.

PLEASE HELP ME!

EXPLANATION = BRAINLIEST

the area is ___ square units

Answers

Answer:

50 units²

Step-by-step explanation:

Solve for both long sides:

6² + 8² = x²

36 + 64 = x²

100 = x²

x = 10

Solve for both short sides:

3² + 4² = x²

9 + 16 = x²

25 = x²

x = 5

Area:

5 x 10 = 50

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

Consider the follow:ing sequence -3; 2; 7; 12. 12.1 Find an expression for the nth term​

Answers

Answer:

tn=t¹+d(n-1)

Step-by-step explanation:

d=common difference

t¹=1st term

n= the nth term

Answer:

Step-by-step explanation:

Sequence, so easiest way is difference between any 2 consecutive numbers

Neg 3 to 2, difference is 5

2 to 7, difference is 5

7 to 12 , difference is 5

So sequence result for n

= starting point + (n-1)(5)

Eg 2nd, N= 2

Starting point is neg 3

Sequence = -3 + 2-1 (5) = -3 + 5 = 2

9th, n = 9

-3 + 8(5)

-3 + 40

37

A basketball team wants to paint half of free-throw circle grey. If the circumference of the free-throw is 30.77, what is the area that will be painted grey. Use 3.14 or pie.

Answers

Answer:

3.14

Step-by-step explanation:

Because you know it's the right answer.

Help fast it is math and really fast need help

Answers

Given:

The table of value and y is inversely proportional to square of x.

To find:

The value of c and d.

Solution:

It is given that y is inversely proportional to square of x. So,

[tex]y\propto \dfrac{1}{x^2}[/tex]

[tex]y=k\dfrac{1}{x^2}[/tex]               ...(i)

Where, k is the contant of proportionality.

From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get

[tex]4=k\dfrac{1}{3^2}[/tex]

[tex]4=\dfrac{k}{9}[/tex]

[tex]4\times 9=k[/tex]

[tex]36=k[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]y=36\dfrac{1}{x^2}[/tex]

[tex]y=\dfrac{36}{x^2}[/tex]             ...(ii)

Putting [tex]x=5,y=c[/tex] in (ii), we get

[tex]c=\dfrac{36}{(5)^2}[/tex]

[tex]c=\dfrac{36}{25}[/tex]

Putting [tex]x=d,y=2[/tex] in (ii), we get

[tex]2=\dfrac{36}{d^2}[/tex]

[tex]d^2=\dfrac{36}{2}[/tex]

[tex]d^2=18[/tex]

Taking square root on both sides, we get

[tex]d=\pm \sqrt{18}[/tex]

[tex]d=\pm 3\sqrt{2}[/tex]

Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].

Answer:

8.238

Step-by-step explanation:

it might not be right, but it was not fast either XDDD

dang, i took to long to tell u

:)

Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l? i will give brainliest for the answer


A. (−4,−3),(−3,−6)
B. (−18,−1),(−3,0)
C. (−6,−4),(−3,−3)
D. (−2,−3),(−3,−6)

Answers

Answer:

c. (−6,−4),(−3,−3)

Step-by-step explanation:

a). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-4)

-3/ 1

= -3

b). y2 - y1 / x2 - x1

0 - (-1) / -3 - (-18)

= 1/15

c). y2 - y1 / x2 - x1

-3 - (-4) / -3 - (-6)

= 1/3

d). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-2)

3

Answer:

D

Step-by-step explanation:

ALWAYS REMEMBER THIS EQUATION: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Find the slope of answer A

1. [tex]\frac{-6 - -3}{-3 - -4} = \frac{-3}{1}[/tex]

 2. This answer is not perpendicular to "l" because it is equal to -3. (Even if it has a different y-intercept, it will just be parallel, not perpendicular.)

Find the slope of answer B

1. [tex]\frac{0 - -1}{-3 - -18} = \frac{1}{15}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer C

1. [tex]\frac{-3 - -4}{-6--2} = \frac{1}{-4}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer D

1. [tex]\frac{-6 - -3}{-3 - -2} = \frac{-3}{-1}[/tex]

 2. This answer is perpendicular to "l" because 3 is the inverse of -3.

100 tenths= ? hundredths
A) 10
B) 100
C) 1,000
D)10,000

Answers

Answer: your answer is D

A) 10

100 , 10 times is 1,000
1,000 is ten hundreds

pls heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

1.1

Hope this helps:)

Maria needs to be at the airport terminal at 15:20. It will take

2 1/3






hours to drive to the airport from her home, and a further 30 minutes to park and get to the terminal.

What is the latest time she should leave home?

Give your answer as a time in the 24-hour clock.

Answers

Answer:

12:30

Step-by-step explanation:

Need help please!!!

Answers

The answer is D
Explanation:5x^5-44x^3-9x=0
X(5x^2+1)(x-3)(x+3)=0
X(x+3)(x-3)=0
X=0,x=-3,x=3
The answer is D. Have a good day.

Help please!

What is the probability of picking a purple marble and spinning green? 2 Answer: Write the answer as a simplified fraction.​

Answers

Answer:

3/28

Step-by-step explanation:

1/7 times 6/8

Yep he or she is right have a nice day

Help plz..And No links!! I repeat No links!!

Answers

Answer:

9×10^3

Step-by-step explanation:

9×10^3=9000

................

Answer:

Step-by-step explanation:

Write a function for:
The output is 5 less than twice the input.
O y= 1/2x-5
y=5 - 2x
O y=2x - 5
O y= 5x - 2

Answers

Answer:

Step-by-step explanation:

Let us have y as the output and x as the input

5 is less than twice the input

twice the input is x * 2 = 2x

so we have 2x-5

MARKING BRAINLIEST

PLS HELP

Answers

Answer:

-7

Step-by-step explanation:

Domain is simply another way of saying input values. Input values are literally just x values (Any place on the x bar. Range is the same but instead of x values it is for y values.

awnser: -7
explanation : i got it from the guy up there^^

Find sin
A. 3/5
B.4/5
C.1
D.5/4

Answers

Answer:

Sin < A is 4 / 5

Step-by-step explanation:

sin = Opposite side / Hypotenuse side

sin = 8 / 10

sin = 4 / 5

complete the following proof by filling in the missing parts. NO LINKS

Answers

Answer:

below

Step-by-step explanation:

a.. it divides the triangle into two equal parts

b.. it is an isosceles triangle

c.. the base line of a mid point are equal

d.

g. two angles are equal in isosceles triangle

A geometric pattern was created by multiplying the number of items in the previous term by 2 if the starting term for the pattern is shown below which of the following shows the resulting pattern


Is it

A

B


C

D

Answers

D that’s the best I can do

when Maria was born, her mother was 24 years old. At present, Maria's age is 20% of her mother's age. How old is Maria now?​

Answers

Answer:

the mother is older than maria by 24 years.

if Maria's age = x

mother's age = x+24

x=0.2(x+24)

x=0.2x+4.8

x-0.2x= 4.8

0.8x=4.8

x=4.8/0.8

x=6

Maria's age is 6 years

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

Step-by-step explanation:

x+y=94 degree(sum of two interior opposite angles is equal to the exterior angle formed)

 let third angle be y because the base of an isosceles triangle are always equal.

y+x+y=180 degree (sum of interior angles of a triangle)

y+94=180

y=180-94

y=86 degree

for angle x

substitute the value of x

x+y=94

x+86=94

x=8 degree

Explain how rays AB and AC form both a line and an angle.

Answers

Answer:

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

Step-by-step explanation:

Find the are of the segment

Answers

Answer:

[tex](9\pi - 18)cm^2[/tex]

Step-by-step explanation:

To find the area of this section of the triangle, we will have to find the area of the sector, and then subtract the area of the triangle. To first find the area of the sector of the circle. Remember that the sector of a circle can be found using a proportion of angles. Since there is an angle of 90 degrees in the center. We will take that and divide it by 360 degrees, which is an entire circle. [tex]\frac{90}{360} = \frac{1}{4}[/tex], so the sector is one-quarter of the entire circle. Now find the area of the entire circle which will be [tex]\pi r^{2}[/tex]× [tex]\frac{1}{4}[/tex], where r is 6 since it is the radius of the circle. So therefore the area of the sectore will be a quarter of 36[tex]\pi[/tex], which is 9[tex]\pi[/tex].

Now you must find the area of the triangle with side length 6. Remember, this is an isosceles triangle with sides length of 6 because two of the sides are radii. Also, remember that this is a 90 degree triangle, so the area of the triangle is simply [tex]\frac{6*6}{2}[/tex], which is 18 cm^2.

Now to find the area of just the yellow segment, just take the area of the sector we found, and subtract the area of the triangle. Therefore, the answer is [tex](9\pi - 18)cm^2[/tex]

Hope this helped.

plss Pa answer po!!!!!!!!!!!!!​

Answers

Equation 1: 12-x=5 (Answer is 7)

Equation 2: 60-x=25 (Answer is 35)

Answer:

ronalyn has 7 oranges

7 + 5 = 12

aurthur has Php 35.00

25.00 + 35.00 = 60.00

hope it helps u..

Which choice is equivalent to the fraction below? 6/(sqrt(3))

Answers

Answer:

A. 2sqrt3

Step-by-step explanation:

Hope this helps!

What is the value of x?

Answers

Answer:

Solution given:

sin 47=opposite/hypotenuse

Sin 47=x/18

x=sin47*18

x=13.16ft

Answer:

ammaamakamamMN8181(18736

Step-by-step explanation:

88271(1(1+1+382(2(#!#

Out of 180 questions in a trivia book, Destiny answered 156 questions and was correct on 117 of them. What percent of all the questions did she answer correctly? What percent of the questions she answered were correct?

Answers

Answer:86.67

Step-by-step explanation:

156:180*100 =

(156*100):180 =

15600:180 = 86.67

hoped this helped :)

Pls help. What is the appropriate congruent for these triangles

Answers

Answer:

ASA

Step-by-step explanation:

In given triangle

Line BC = Line QR

Angle ABC = Angle PQR

Angle ACB = Angle PRQ

Computation:

Angle ABC = Angle PQR (Angle)

Line BC = Line QR (Side)

Angle ACB = Angle PRQ (Angle)

So,

ΔABC ≅ ΔPQR

By Angle Side Angle property

ASA

The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.

What was the sale price of the skateboard?

Answers

96
-30
——
66

Answer: the total of the skateboard was $66

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If
AC 18 and DC · 15, what is the length of BC in simplest radical
form?

Answers

The length will be 3 because of the altitude

What is the value of x in the solution to the system of equations shown???
-7
1.6
2.4
4

Answers

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

7x + y = 14

-2x - y = 6

Step 2: Solve for x

Elimination

Combine 2 equations:                                                                                     5x = 20[Division Property of Equality] Divide 5 on both sides:                                  x = 4
Other Questions
If x + x = 9, then x = I don't understand this plz answer 3,4 and 5 Calculate the equivalent resistance of the following circuit:Req = simplify this fully x+x+yy What is the author implying in the phrase the wind must have been right. cotA + tanA= secAcosecA How does the story "Prince Louie" show the influence of the biblical story of Samson ? Both stories are about strong young men who lose everything in their personal lives while gaining a victory for their people. In both stories, the main character at first does not understand the true source of his great power. Both stories show that unwise love can lead people to perform actions that hurt them. In both stories, a mother tricks her son into achieving great power by letting him think it comes from elsewhere . Anyone know the answer? Which sentences contain suffixes that are correctly constructed? (Multiple Answers)Select one or more:a. Laura seems to suffer from acute shyness.b. We need to find someone fameous for the new campaign.C. Apologies for the quality, but I hurryed through this.d. The construction work is an annoyance for those working next door.Oe. Excitement seems to be on the increase in the office. An eagle flies towards south luzon at 90 meters for 5 seconds . What is the speed and velocity of the eagle Which was NOT one of the requirements of the Versailles Treaty? _________ is the study of processes and patterns involved in the design and creation of products. Mathematics Science Technology Engineering Common decay process definition in your own words A history student is asked to make a video based on the research that he or she is doing on the country of India. This video will be asecondary sourceprimary sourcehistorical sourcearcheological source I don't know yet In the photo which sentence is correct pleas help me What is the combined weight of all the kittens ?pls help PLEASE HELP MEE THIS IS DUE IN 45 MINS A rectangular garden covers 80 yd?. The length is 7 yd longer than the width. Find the length and width.Round your answers to the nearest tenth of a yard. The plaintiff is suing the defendant for personal injuries suffered when she was struck by the defendant's car. The plaintiff testified regarding the extent of her injuries. The defendant seeks to testify that when she visited the plaintiff in the hospital, the plaintiff said that if the defendant paid all of her medical bills and gave her $25,000, she would not institute legal proceedings. The plaintiff's attorney objects to the offered testimony. How should the judge rule on the admissibility of the testimony Given that the growing opinion root tip has 16 chromosomes in each cell ( normally). During the cell cycle, while the cell is growing and dividing, specify how many chromosomes will the cell have at the G1 phase? and how many chromosomes will it have after the S phase? Explain your answer with a reason/evidence statement