One day in the playground,the ratio of the number of boy to the number of girl is 3:5 later 6girls come, 9boy leave, the ratio of the number of girl become 1:4. Find the difference between the number of boy and girl originally

Answers

Answer 1

Answer:

The number of boys are 18 and the number of girls are 30.

Step-by-step explanation:

The ratio of number of girls to the boys = 3 : 5

Let the number of girls is g and boys is b initially.

b : g = 3 : 5

5 b = 3 g ..... (1)

Now, girls are 6 + g and boys are b - 9

So, the ratio is

(b - 9) : (6 + g) = 1 : 4

4 b - 36 = 6 + g

4 b - g = 42 .... (2)

From ( 1 ) and ( 2 )

[tex]4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18[/tex]

And , g = 5 x 18/3 = 30

So, the number of boys are 18 and the number of girls are 30.  


Related Questions

this we havent learned but teacher gave us for end of year est plz help

Answers

Answer:

15

Step-by-step explanation:

Finding total number of pupils(y)

3/y x 360°=27°

3x360°/y=27°

1080°/y=27°

1080°=27°y

1080°/27°=27°y/27°

40=y

Number of pupils who said that Maths was their favorite (z)

z/40x360°=135°

360°z/40=135°

360°z=135°x40

360°z=5400°

360°z/360°=5400°/360°

z=15

Here is some information about a holiday.

7 night holiday
$340 per person
8% discount if you book before 31 March

On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.

Answers

Answer:

$625.6

Step-by-step explanation:

Information about a holiday:

7 night holiday

$340 per person

8% discount if you book before 31 March

Number of people Naseem booked the holiday for = 2

Date of booking of the holiday = 15 February

Total cost of the holiday per person = cost per person - discount before March 31

= $340 - 8% of $340

= 340 - 8/100 * 340

= 340 - 0.08 * 340

= 340 - 27.2

= $312.8

Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person

= 2 * $312.8

= $625.6

Sean las proposiciones p : "Cinco es mayor que diez" y q : "Dos más dos son cuatro". Escriba en lenguaje natural la proposición ∼p∧q

Answers

Answer:

"cinco es menor o igual que diez, y dos más dos son cuatro"

Step-by-step explanation:

Primero definamos los simbolos utilizados.

∧ significa "y"

∼ es el simbolo de la negación, es decir:

∼p significa "no p"

terminemos de resolver el problema para que el concepto quede claro.

si:

p = cinco es mayor que diez  (5 > 10)

entonces:

∼p = cinco es menor o igual que diez   (5 ≤ 10)

y

q = dos más dos son cuatro. (2 + 2 = 4)

entonces:

∼p∧q se escribe como:

"cinco es menor o igual que diez, y dos más dos son cuatro"

The quantity p varies inversely as the square of (q + 2)
p=5 when q = 3
Find p when q = 8​

Answers

Answer:

p = 1.25

Step-by-step explanation:

varies inversely

p (q + 2)² = k

-----------------------

Find k

p=5 when q = 3

5(3 + 2)² = k

5(25) = k

125 = k

----------------------

Find p when q = 8​

p(8 + 2)² = 125

p(100) = 125

divide both sides by 100

p = 1.25

The sum of 20 and b is equal to 32.99
need help

Answers

Answer:

b is 12.99

Step-by-step explanation:

Can someone pls help me?

Answers

Answer:

4 a

9 b

i think its a answer

Answer:

if we have to choose the option than it might be B but i didn't get question

i need help like asap!!!!

Answers

Answer:

to do this lets first solve this so

5*5*5*5=625

5^-3=0.008

0.008^2=0.000064

0.000064*625=0.4

so all equations that are equal to 0.4 are right which is C

how do i solve for x with an equation that says 19 = x - 3

Answers

Answer: x = 22

Step-by-step explanation: Since x is unknown, we want to isolate it and determine what it equals. We know that x - 3 gives us 19, but we don't want to know what x - 3 is, just x. So we can add three to both sides of the equation, to get our answer and keep it balanced. As a result, we get x = 22

Answer:

x = 22

Step-by-step explanation:

19 = x - 3

Add 3 to each side

19 + 3 = x - 3 + 3

Simplify

22 = x

What is the domain of the function shown in the table? y X -2 -1 0 1 1 2 3 O A. (-2,-1,0,1,2,3} O B. (-2,0),(-1,1),(0, 2), (1,3)​

Answers

Answer:

(0,2)

Step-by-step explanation:

the bracket cancel

pls help plsssss sss sss sss s

Answers

25√2

Step-by-step explanation:

Since angle BAC and angle ABC are equal, AB = BC.

Let x = AB = BC

By the Pythagorean theorem,

AB² + BC² = AC²

x² + x² = 50²

2x² = 2500

x²= 1250

x = √1250

x = √(2 • 625)

x = √2 • √625

x = √2 • 25

x = 25√2

x = AB = 25√2

what is the solution to the system of equations?

6x+2y=6

7x+3y=5

Answers

The answer is (2,-3)

Answer:

x = 2, y = -3

Step-by-step explanation:

6x + 2y = 6         (multiplying by 3)

18x + 6y = 18    -----> (i)  

7x + 3y = 5 (multiplying by 2)

14x + 6y = 10    -----> (ii)

Subtracting (i) from (ii)

18x + 6y - 14x + 6y = 18 - 10

4x = 8

x = 2

Substituting in (ii)

14x + 6y = 10

14(2) + 6y = 10

28 + 6y = 10

6y = -18

y = -3

Devons current financial goals are to reduce his credit card debt start a retirement plan and save for a down payment on a house which smart goal attribute in the table applies to each of devons financial goals

Answers

Answer:

timely, timely,measurable

Step-by-step explanation:

Answer:

specific, timely, measurable

Step-by-step explanation:

i took the test on plato

Dado un rectángulo cuya base, lado mayor es 15 cm y cuya altura, lado menor, es 10 cm. Calcular el perímetro y el área
ayuda es para hoy doy 5 estrellas

Answers

Answer:

Área de un rectángulo = 150 cm²

El perímetro de un rectángulo = 50 cm

Step-by-step explanation:

Área de un rectángulo = largo × ancho (alto)

= 15 cm × 10 cm

= 150 cm²

El perímetro de un rectángulo = 2L + 2W

Donde L = longitud = 15 cm

W = Ancho = 10 cm

= 2 (15 cm) + 2 (10 cm)

= 30 + 20

= 50cm

What is the slope of the line that passes through the points (3,2) and (-4,3)?​

Answers

Answer:

slope = 1/-7

Step-by-step explanation:

We have two points which are (3,2) and (-4,3) .

To find slope , use the slope formula

m = ( y² - y¹ ) / ( x² - x¹)

Where,

m is the slope of line.( y² - y¹ ) = ( 3 - 2 )( x² - x¹) = ( - 4 - 3)

substitute the values

m = ( 3 - 2 ) / ( - 4 - 3)

m = 1/-7

Hence, slope of line is 1/-7

Can someone answer this?

Answers

Answer:  a = 100

=============================================================

Explanation:

There are n = 7 sides to this polygon (so it's a heptagon)

The interior angles add up to 180(n-2) = 180*(7-2) = 900 degrees.

So that means,

69+284+62+62+242+81+a = 900

800+a = 900

a = 900-800

a = 100

Which of these shows 9 + 4p rewritten using the commutative property of addition?
4p + 9
9p + 4
9 − 4p
4p − 9

Answers

Answer:

[tex]4p + 9[/tex]

Step-by-step explanation:

Commutative property of addition:

Changing the order of addends does not change the sum.

Hope it is helpful...

Answer:

4p+9

Step-by-step explanation:

Addition is the same reversed.

For example,

7+5=12

AND

5+7=12

A yard in the shape of a square measures a ft on each side. A flower bed is dug up in the shape of a triangle with a/4 ft height of the triangle and a/2 ft base of the triangle. How much yard area is left over?

Answers

Answer:

[tex]A_X=\frac{15x^2}{16}[/tex]

Step-by-step explanation:

From the question we are told that:

Base of Flower bed [tex]b=\frac{x}{2}[/tex]

Height of Flower bed [tex]h=\frac{x}{4}[/tex]

Generally the equation for Area of garden left A_X is mathematically given by

 [tex]A_X=Area\ of\ Garden\ A_g\ - Area\ of\ flower\ bed\ A_f[/tex]

Where

 [tex]A_f=b*h[/tex]

 [tex]A_f=\frac{1}{2}*\frac{x}{2}*\frac{x}{4}[/tex]

 [tex]A_f=\frac{x^2}{16}[/tex]

Therefore

 [tex]A_X= A_g - A_f[/tex]

 [tex]A_X=x^2-\frac{x^2}{16}[/tex]

 [tex]A_X=\frac{15x^2}{16}[/tex]

Which Statement or Inequalities describe the number line graph?

Answers

I might be wrong but:

x is less than negative three and x is greater than or equal to negative one.

Inequality is x<-3 and x ≥ -1

4(a + b) - x²(a + b)​

Answers

=(4-x^2)(a+b)

=(2^2-x^2)(a+b)

=(x+2)(x-2)(a+b)

I think it hopefull to you

Answer:

(a+b) (2-x)(2+x)

Step-by-step explanation:

2^2

The term (a+b) is the same

We can factor this out

(a+b) (4-x^2)

(4-x^2) is the difference of squares (2^2 - x^2)

We know the difference of squares is (a^2 - b^2 ) = (a-b)(a+b)

(a+b) (2-x)(2+x)

If you want to distribute the terms

4a+4b -x^2a - x^b

is 2x+3y=5 a straight-line graph​

Answers

Answer:

Yes, it is

Step-by-step explanation:

A straight line graph is of the general form;

y = mx + b

where m is the slope and b is the y intercept

We can rewrite what we have as

3y = -2x + 5

y = -2x/3 + 5/3

As we can see, it can be expressed in the general form and that makes it a straight graph

Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?

Answers

Answer:

8.8%

Step-by-step explanation:

We first divide the new amount by the original and close it with brackets.

Our one year will be shown as 1/1 as an indices

(761.60/700)^1/1

= 1.088

We then convert it to 0.088 and times it by 100.

0.088×100= 8.8% Compound interest rate.

This is correct as:

700×1.088= 761.6

Have a nice day! :)

What is in ? Record the measurement.

Answers

Answer:

In could be mean inches? otherwise there is not enough context to know sorry :/

Step-by-step explanation:

Answer:the answer is 90

Kevin buys the items listed below at a grocery store. 3 packages of chicken priced at $12.36 per package 12 pound of broccoli priced at $1.98 per pound 1 gallon of milk priced at $6.48 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.45 in change. What amount of money does Kevin use to pay for the items?

Answers

Answer:

67.77$ Kevin use to pays for the items.

Step-by-step explanation:

According To the Question, We have

Kevin buys the item listed below at a grocery store

3 Packages of chicken priced 12.36$ per package = 12.36×3=37.08$12 Pound of Broccoli Priced 1.98$ per pound = 1.98×12 = 23.76$1 gallon of milk priced 6.48$ per gallon = 6.48×1 = 6.48$

Now, Kevin Pays for the items and receives 0.45$ in Change.

Amount of Money Kevin Pays

6.48$+23.76$+37.08$+0.45$ = 67.77$

(2y + x)^
(4x)
(2y - x)°
Find the value of x.
A 9
В. 18
C 45
D. 90

Answers

Answer:

they are opposite degrees so we can say that 4x=2y-x

Step-by-step explanation:

5x=2y and we complete 4x+(2y+x)=180. and then 5x+2y=180. put 2y from 5x. 4y=180 y= 45 and x= 18°

Now,

(2y + x)° + (2y - x)° = 180° ( straight angle )

or, 2y + x + 2y - x = 180°

or, 4y = 180°

y = 45°

Then,

4x = 2y - x ( vertically opposite angle )

or, 4x = 2*45° - x

or, 5x = 90°

or, x = 90°/5

x = 18 °

I hope it's help you...

Mark me as brainliest...

Brian invests £1500 into his bank account. He receives 2% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate

Answers

Answer:

1590

Step-by-step explanation:

1500 x 0.02

= 30

30 x 3

= 90

1500+90 = 1590

(ps.. there was an equation for this i just forgot it, you can look it up and check it)

In parallelogram QRST if m∡TQR=50∘ find m∡STQ.

Answers

Answer:

[tex] {x }^{o} = {130}^{o} [/tex]

Step-by-step explanation:

[tex] {50}^{o} + {x}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} = {180}^{o} - {50}^{o} [/tex]

[tex] {x }^{o} = {130}^{o} [/tex]

Hope it is helpful....

Answer:

x= 130°

Step-by-step explanation:

hope it helps

25 + 8 (7y - 3) + 3y

Answers

Answer:

59y+1

Step-by-step explanation:

25 + 8 (7y - 3) + 3y

Distribute

25+56y-24+3y

Combine like terms

59y+1

Angle of elevation and depression: A boy 1.5m tall is 15m away from the hut. what is the angle of elevation of the top of the hut.​

Answers

Answer:

13.5m

Step-by-step explanation:

The boy is 1.5m tall so you subtract that by 15m and you get 13.5m

Compare. Use >, <, or =.

123,546,789 >, <, or =, 123,456,789

please help

Answers

Step-by-step explanation:

123,546,789 > 123,456,789

#CMIIW

The sides of ∆ are 8 cm, 7 cm and 5 cm respectively. Find its semi-perimeter

Answers

perimeter = length plus

breadth

8cm +7cm + 5cm

= 20

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