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
kykrilka [37]
3 years ago
8

There are 33 students in the Chess Club. There are five more boys than girls in the club. Write and solve a system of equations

to find the number of boys and girls in the Chess Club.
My question is this, do I have the right equation to figure this problem?

Boys 5(x) =33
Girls = x

x+5(x)=33
6x =33
6/6. 33/6



x=5.5 this is where I'm lost. What do I do next? Or, do I have it all wrong?
Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0
<span>There are 33 students in the Chess Clubs. There are 5 more boys than girls in the club.
Now, the equation will be like this
girls = x
boys = x + 5
x + 5x = 33
let’s solve for X
=>  x + (x + 5) = 33
=> 2x + 5 = 33
=> 2x = 33 - 5
=> 2x /2 = 28 / 2
=> x = 14
Thus the number are:
girls = 14
boys = 14 + 5 = 19
=> 19 + 14 = 33</span>



You might be interested in
Ax+by=(a-b) , bx - ay =(a+b) simultaneous linear equations using cross multiplication
Molodets [167]

Answer:

x=1\,,\,y=-1

Step-by-step explanation:

Given: ax+by=a-b\,,\,bx-ay=a+b

To solve: the given linear equations

Solution:

Consider the equations:

A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0

By method of cross multiplication:

\frac{x}{B_1C_2-B_2C_1}=\frac{y}{C_1A_2-C_2A_1}=\frac{1}{A_1B_2-A_2B_1}

For equations: ax+by=a-b\,,\,bx-ay=a+b

ax+by-(a-b)=0\\bx-ay-(a+b)=0

Take A_1=a\,,\,B_1=b\,,\,C_1=-(a-b)\,,\,A_2=b\,,\,B_2=-a\,,\,C_2=-(a+b)

So,

\frac{x}{-b(a+b)-a(a-b)}=\frac{y}{-b(a-b)+a(a+b)}=\frac{1}{-a^2-b^2}\\\frac{x}{-ab-b^2-a^2+ab}=\frac{y}{-ab+b^2+a^2+ab}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{1}{-(a^2+b^2)}\,,\,\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\x=1\,,\,y=-1

6 0
3 years ago
Danny earned $20,000 last year This year he earned $12,000. What is the percentage difference?
Karolina [17]

Answer:

60%

the reason its 60 percent is because if u think of 20,000 as just 20 its much easier

5 0
2 years ago
BRAINLIEST..........show expressions too&lt;333
vovikov84 [41]

Answer:

9.) t=.05m+20

10.) t=.10m+5

11.) 300 minutes of calling would make the two plans equal.

12.) Company B.

Step-by-step explanation:

Let <em>t</em> equal the total cost, and <em>m,</em> minutes.

Set up your models for questions 9 & 10 like this:

<em>total cost = (cost per minute)# of minutes + monthly fee</em>

Substitute your values for #9:

t=.05m+20

Substitute your values for #10:

t=.10m+5

__

To find how many minutes of calling would result in an equal total cost, we have to set the two models we just got equal to each other.

.10m+5=.05m+20

Let's subtract 5 from both sides of the equation:

.10m=.05m-15

Subtract .05m from both sides of the equation:

.05m=15

Divide by the coefficient of m, in this case: .05

m=300

__

Let's substitute 200 minutes into both of our original models from questions 9 & 10 to see which one the person should choose (the cheaper one).

Company A:

t=.05(200)+20

Multiply.

t=10+20

Add.

t=30

Company B:

t=.10(200)+5

Multiply.

t=20+5

Add.

t=25

<em />

6 0
3 years ago
-8,-1,6,13 what the next three numbers
kobusy [5.1K]
20,27,34

The common difference is 7
7 0
3 years ago
Read 2 more answers
The perimeter of a college basketball court is 96 meters and the length is 14 meters more than the width. What are the dimension
soldi70 [24.7K]

Answer:

length = 32m, width= 16m

Step-by-step explanation:

l=2w

2(2w+w)=96

2(3w)=96

6w=96,w= 96/6 = 16m

l=2w=2x16=32m

8 0
3 years ago
Read 2 more answers
Other questions:
  • Martina purchased a prepaid phone card for $20 . Long distance calls cost 14 cents a minute using this card. Martina used her ca
    12·1 answer
  • Given: ΔABC, AB ≅ BC<br> BE− median of ΔABC<br> m∠ABE = 40°30'<br> Find: m∠ABC, m∠FEC
    6·2 answers
  • Write the equation of a horizontal ellipse with a major axis of 30, a minor axis of 14, and a center at (-9, -7
    6·1 answer
  • Find the equation of the line.
    6·1 answer
  • Find the distance between the points A(13,2) and B(7,10)
    10·1 answer
  • Please help me answer number 3! And please explain if you can!
    13·1 answer
  • Hello guys so I have one question and can you please tell me how you got the answer and show you work. Thank you
    12·1 answer
  • Explanation would be appreciated, last word is indicated.​
    12·1 answer
  • A cupboard is 1.5 m wide,30cm deep and 120 cm high. Find its volume in m3
    7·2 answers
  • How many solutions does the system have?<br> Y= 4x8<br> 4y = 4x - 8
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!