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

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! :)

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

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]

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

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

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

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)

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

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

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

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"

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

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

(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...

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

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$

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

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

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

Answers

Answer:

b is 12.99

Step-by-step explanation:

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

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

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

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

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

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

Compare. Use >, <, or =.

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

please help

Answers

Step-by-step explanation:

123,546,789 > 123,456,789

#CMIIW

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

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

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

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