The ratio of the number of boys to the number of girls in a dance club is 5 : 6. After 6 more boys join the club, the ratio became 13 : 12. How many people were in the club at the start?

Answers

Answer 1

44

Step-by-step explanation:

let boys be x and girls be y

x/y=5/6

x=5y/6....(1)

if 6 boys join the club that will be x+6

Therefore:

(x+6)/y=13/12

13y=12x+72

13y-12x=72

Recall x=5y/6

Therefore:

13y-12(5y/6)=72

13y-(2*5y)=72

13y-10y=72

3y=72

y=24 people

Therefore:

x=(5*24)/6

x=20 people

Therefore people in the club before are 20+24=44


Related Questions

answer correctly please !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

sanaol matalino

Step-by-step explanation:

kase dehins matalino

PAN is a right angle.

Two angles in a linear pair have a sum of 180 degrees. Since PAN and NAS have the same measure, divide 180 by 2. You would get 90 degrees, thus both angles are right angles.

Yeah I’m done with Brainly, they getting rid of my account now, have these points

Answers

Answer:

oh no! why

Step-by-step explanation:

can i have brainliest

also ty!

Answer:

you should talk to the moderator

Step-by-step explanation:

in a car race,for every mile convered by car A, car B covered 4 miles. the ratio of the number of miles convered by car A to the number of miles convered by car B is​

Answers

The ratio between car A to B is 1:4

The top view of a school bus showing the arrangement of the passenger seats is shown below: which of the following is the correct way of counting the total number of passenger seats in the bus

Answers

The correct way of counting the total number of passenger seats in this bus is: option C: 5 × 12 + 6.

What is an expression?

An expression refers to a mathematical equation which is used to show the relationship that exist between two or more numerical quantities.

How to calculate the total number of passenger seats?

In order to determine the total number of passenger seats, we would develop an expression that multiplies the rows by the columns and then add the remaining seats as follows:

Total number = (5 × 12) + 6

Total number = 60 + 6

Total number = 66 seats.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

Complete Question:

The top view of a school bus showing the arrangement of the passenger seats is shown below. Which of the following is the correct way of counting the total number of passenger seats in the bus? An explanation is required.

Option A: 3 + 2 × 12 + 6

Option B: 6 - 1 × 13 + 1

Option C: 5 × 12 + 6

Option D: 2 + 3 × 13 - 12

Help me now plz it do in 30 min

Answers

Answer:

For the first row, write 5(0)-1 = 0-1. y is equal to -1.

For the second row, write 5(1)-1 = 5-1. y is equal to 4.

For the third row, write 5(2)-1 = 10-1. y is equal to 9.

For the fourth row, w rite 5(3)-1 = 15-1. y is equal to 14.

Step-by-step explanation:

Hope this helps!

Y=6x+21
-x+3y=12

Find x and y please

Answers

for first one
Y=6x+21 can’t be changed
X=y/6-7/2
for the second
X=-12+3y
Y=4+x/3

Convert 5 2/7 to 7ths
(there’s the image if you’re confused.)

Answers

Answer:

37/7

Step-by-step explanation:

to get 37-

7x5+2, then you get 37! you then put that over the denpminator, if you're confused look at the pic

The total number of students who could attend a field trip is represented by the variable t. The number of students in Group A is less than the number in Group B. Group A has 6 students more than 1 4 the total number of students, while Group B has 3 less than the total number of students. Which inequality represents this situation?

Answers

Answer:

Let's define:

A = # of students in group A

B = # of students in group B

C = # of students in group C.

"The total number of students who could attend a field trip is represented by the variable t."

This can be written as:

A + B + C = t.

"The number of students in Group A is less than the number in Group B."

Here we have a strictly "less than", then this is written as:

A < B.

"Group A has 6 students more than 1/4 the total number of students"

A = t/4 + 6

"Group B has 3 less than the total number of students"

B = t - 3.

Then we have the equations:

A + B + C = t.

A = t/4 + 6

B = t - 3.

A < B.

We could replace the second and third equatio in the fourth one, to get:

t/4 + 6 < t - 3.

t/4 + 9 < t

9 < t - t/4

9 < t*(4/4 - 1/4)

9 < t*(3/4)

(4/3)*9 < t

12 < t.

Then we found an inequality that defines the minimum possible value of t,

can yall please help me i need this now​

Answers

Answer:

74

Step-by-step explanation:

74 is the answer !!!!

What is the value of (–4) with an exponent of -3

Answers

Answer:

-64

Step-by-step explanation:

Because an exponent is basically a number repeated multiple times. So -4 x -4 x -4 would equal -64.

⚠️WILL GIVE BRAINLIEST⚠️​

Answers

Answer:

slope is m= -2slope is m= 4

Step-by-step explanation:

Mrs. Billings has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Mrs. Billings can buy. *
20 points
60≥22x-8
22x+8≤60
22-8x≥60
22+8x≤60

Answers

Answer:

I believe the answer is D.  

Step-by-step explanation:

22= jeans 8x= 8 dollars PER shirt

All of this has to be less than or equal to $60 because that is all the money she has. I hope this helps!! Please mark me brainliest!!

Answer:

[tex] 22 + 8x \le 60 [/tex]

Step-by-step explanation:

She has at most $60, so the amount she spends is less than or equal to $60.

[tex] amount~she~spends \le 60 [/tex]

The jeans cost $22.

The shirts cost $8 each, so for x shirts, she'll pay 8x.

The total amount she spends is 22 + 8x. It must be less than or equal to 60.

[tex] 22 + 8x \le 60 [/tex]

please may you help me quick timeee

Answers

Answer:

Step-by-step explanation:

tan e = x/(4x-1)

tan f = (6x+5)/(12x + 31)

since tan e = tan f

x/(4x-1) = (6x+5)/(12x+31)

x(12x+31) = (4x-1)(6x+5)

12x^2 +31x = 24x^2 +20x -6x -5

31x = 12x^2 +14x -5

0 = 12x^2 -17x -5

0 = (12x -5)(x -1)

x = 1, 5/12

Which number is IRRATIONAL?

Answers

Answer:

I'm sure a and b is not irrational. But

Step-by-step explanation:

C and D can be

Use calculator, if the number is not repeating and non recurring, then that can be irrational

solve an equation x/17= -4

Answers

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

Please help
D») 5. Carlos opens a savings account with a deposit of $1,000. The account earns
interest at a rate of 2% per year. Let A(1) denote the amount of money (in
dollars) that is in the account tyears after the account is opened. The
equation below displays the relationship between A(t) and t.

A(1) = 1,000 + 20+

Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?

Answers

Step-by-step explanation:

a is the correct not sure though

Answer:Carlos will not close his account before $1,500 is present. Which of the

following intervals contains all the possible number of years after opening his

account that Carlos could close it?

Step-by-step explanation:

1. Kyle is using elimination to solve the system
below and will first add the equations together,
4x - 2y = 18
-3x + 2y = -11
Which of the following shows the sum of the
two equations?
a. 7X = 29
b. X=7
c. 7x = 7
d. X = -7

Answers

I think it’s D but I am not sure

Anthony earned $131 in tips last night while working at the restaurant. If his tips consisted of $1 bills and $5 bills only and he counted 47 bills in total, then how many $5 bills did Anthony receive?

Answers

Answer:

21

Step-by-step explanation:

Let x = $1 bill

Let y = $5bill

Translating the word problem into an algebraic equation;

For the total number of bills;

[tex] x + y = 47[/tex] .........equation 1

For the total number of tips;

[tex] x + 5y = 131[/tex] ..........equation 2

*Solving the linear equation by using the substitution method*

Making x the subject in equation 1:

[tex] x = 47 - y[/tex] .......equation 3

Substituting "x" into equation 2;

[tex] (47 - y) + 5y = 131 [/tex]

Simplifying the equation, we have;

[tex] 47 + 4y = 131 [/tex]

[tex] 4y = 131 - 47 [/tex]

[tex] 4y = 84 [/tex]

[tex] y = \frac {84}{4} [/tex]

y = 21 (For the $5 bills).

Therefore, Anthony received 21 pieces of the $5 bills.

To find x;

Substituting "y" into equation 3;

[tex] x = 47 - 21[/tex]

x = 26 (For the $1 bill).

Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 4/3?

g(x)=m(x+3)+b+4

s(x)=4/3x+b

t(x)=m(x−3)+b+4

h(x)=4/3mx+b

Answers

G over 3 , put 2 so we would come out too 5x time squared

Function transformation involves changing the position of a function

The new function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]

The function is given as:

[tex]\mathbf{y = mx +b}[/tex]

The ratio of the slopes of both segments is given as:

[tex]\mathbf{Ratio = \frac 43}[/tex]

Let the slope of the new segment be m2.

The slope of [tex]\mathbf{y = mx +b}[/tex] is m.

So, we have:

[tex]\mathbf{m_2 : m = \frac 43}[/tex]

Express as fractions

[tex]\mathbf{\frac{m_2 } m = \frac 43}[/tex]

Multiply both sides by m

[tex]\mathbf{m_2 = \frac 43m}[/tex]

From the list of given options,

[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex] has a slope of [tex]\mathbf{m_2 = \frac 43m}[/tex]

Hence, the required function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]

Read more about function transformations at:

https://brainly.com/question/13810353

help me PLEASE I’m begging!!! ( question on photo

Answers

4.05
step by step explanation

Answer:

4.050 cm

Step-by-step explanation:

Multiply 2.25 and 1.8, make sure to add the decimal point!

solve for the variable x+9=12

Answers

Answer:

Step-by-step explanation:

subtract 9 from both sides

x=3

Answer: x = 3

Step-by-step explanation: x = 12 - 9

A percent is a blank of proportionality describing the blank of the blank please answer fast

Answers

Answer:

Constant

part

whole

Step-by-step explanation:

From the question, we want to fill in the gaps with the correct vocabulary

The correct wordings in this question is that;

A percent is a constant of proportionality describing the part of the whole

What we are trying to learn here is that a percentage of something is just a value that represents how big that particular value is to the entire whole value

What is the next number after 2?

Answers

!2 + 1 = 3!

so 3! :)

Answer:

1,2,3,4,5,6,7,8,9,10

Step-by-step explanation:

;) :)

6th grade math plz help?
Suppose an artist is working on a painting. On Monday, he painted 1/2 of it. On Tuesday, he completed another 1/3 of the painting. What percent of the painting has yet to be done? Round your answer to the nearest whole percent.

Answers

Answer:

about 83%

Why:

1/3 + 1/2 = 0.83333333333

0.83333333333 as a percentage is 83.333333333%

Answer:

17%

Step-by-step explanation:

He completed 1/2 plus 1/3 of the painting.

The total he completed is

1/2 + 1/3 = 3/6 + 2/6 = 5/6

He needs to to 1 - 5/6 = 6/6 - 5/6 = 1/6 of the painting.

100% is the whole. He needs to do 1/6 of 100%.

1/6 * 100% = 100%/6 = 16.666...%

Answer: 17%

x is directly proportional with y. Write an equation that shows the relationship if x=10 and y=4.

Answers

Answer:

x=3

Step-by-step explanation:

y

=

3

x

Explanation:

Direct proportionality is defined as:

y

=

α

x

where

α

is some constant that defines the proportionality.

Given

x

=

2

and

y

=

6

, we find:

y

=

α

x

6

=

α

(

2

)

3

=

α

So the relationship here is

y

=

3

x

Four movie tickets cost $30.00. Five concert tickets cost $36.50. Do the
movies or the concert cost less per ticket? How much less?

Answers

Answer:

Movies: 30/4 = $7.50/ticket

Concerts: 36.50/5 = $7.30

Concert tickets are $.20 cheaper.

Answer:

Step-by-step explanation:

4 movies tickets are $7.50 per ticket and 5 concert tickets are $7.30 per ticket. The movie tickets are $0.20 more.

How do you write 352 in expanded form

Answers

Answer:

300+ 50 + 2

Step-by-step explanation:

If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)

Answer: 300 + 50 + 2

Explanation:

The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.

So that's why 352 = 300 + 50 + 2

–1.0 ? |–4.4| Is it. Greater than. Less than or equal to

Answers

Answer:

Less Than

Step-by-step explanation:

Answer:

-1.0 is greater than -4.4

Write the polynomial form given the leading coefficient
and the zeros of the function.
1. Leading coefficient: -1; roots: 1, 1+73, 1 - 3

someone help please

Answers

Answer:

For a polynomial of any degree, with roots x₁, x₂, ...., xₙ and a leading coefficient A, we can write it as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we have:

Leading coefficient = -1

Roots : 1, 1 + 73, 1 - 3

Then the polynomial will be:

p(x) = -1*(x - 1)*(x - (1 + 73))*(x - (1 - 3))

      = -1*(x - 1)*(x - 74)*(x + 2)

Now, if the roots are:

1, 1 + 73*i, 1 - 3*i

then:

p(x) = -1*(x - 1)*(x - 1 - 73*i)*(x - 1 + 3*i)

please answer this question as fast as possible​

Answers

Answer:

25kg

Step-by-step explanation:

x = 100%

x = 140kg

x1 = 100% - 35% = 65%

x1 = 140kg × 0.65 = 91kg

x2 = 91kg - 26kg = 65kg

x3 = 65kg × 2/5 = 130kg/5 = 25kg

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