There are 60 pupils who joined the Math Quiz Competetion. 40 were boys and 20 were girls. During the Awarding ceremony, it was found out that 20% of the boys and 15% of the girls won and received prizes. How many received prizes?

Please Answer In English
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Here's the Solution,

let's take :

now,

=》

[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

=》

[tex]d = \sqrt{(3 - 7) {}^{2} + (2 - 5) {}^{2} } [/tex]

=》

[tex]d = \sqrt{( - 4) {}^{2} + ( - 3) {}^{2} } [/tex]

=》

[tex]d = \sqrt{16 + 9} [/tex]

=》

[tex]d = \sqrt{25} [/tex]

=》

[tex]d = 5[/tex]

So, distance between the points is 5 units

Answer:

10

0.1

100/9,11.111

1500

The sum of this series=11.11

A geometric series is the sum of an infinite number of terms with a constant ratio between them in mathematics.

Formula of infinite geometric sum

[tex]S=a1/1-r,(for lrl < 1)[/tex]

and given series

[tex]10 + 1 + 0.1 +0.01 +...[/tex]...

where

a=10 and r=0.1

by putting these values in above formula

[tex]S=10/(1-0.1)\\=11.11[/tex]

Hence the sum of given series= 11.11

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Answer:

i think A. 6 in

Step-by-step explanation:

because the lenght is diagram 3

Answer:

log 7

Step-by-step explanation:

[tex]log (a)+log6=log(ab)\\\\[/tex]

[tex]log(c)-log(d)=log(c/d)[/tex]

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

hope it helps...

have a great day!!

Answer:

c 7 + 7x

Step-by-step explanation:

Answer:

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Here’s the answer:

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Step-by-step explanation:

[tex]\frac{9}{11} =\frac{x}{22}[/tex]

[tex]11x=198[/tex]

[tex]x=18[/tex]

Answer:

18 is the answer of the question

Answer:

Are u guys solving for k?

Step-by-step explanation:

Answer:

h = 14 units

Step-by-step explanation:

area of parallelogram = bh

plug everything in: 84 = (6)h

h = 84/6 = 14

The type of counting problem is combination with repetition.

One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.

As johnny  use a lot of condiments.

His mother tells him he may only make two additions to his meal.

He can add 2 condiments only twice, whether he already use them or not.

So, here we will use combination with repetition  because here same condiments can be added twice that is two times.

So, in how many different ways can johnny improve his meal can be determined by combination with repetition.

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Answer:

10

Step-by-step explanation:

Answer:

√86 cm

Step-by-step explanation:

radius² + h² = slope²            slope = 10       radius = 4

               h² = slope² - radius²

               h  =  √(slope² - radius²)

                   =  √(10² - 4²)

                   =  √ 86

                   =

Answer: 84

...........

Answer:

38 square feet. in return please subscribe to Amiredagoat Yt.

Step-by-step explanation:

If 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that, Alicia's garden is 50 square feet. inside her garden, she plants a section of tomatoes that is 3 feet by 4 feet

In daily life, area and perimeter are used for a variety of purposes, including determining a home's floor area, a footpath's circumference, a wire fence around a park, etc.

Area of Alicia's garden = 50 square feet

Area of a section of tomatoes that is 3 feet by 4 feet,

A=4 × 3

A=12 sq feet

The spaces she has left in her garden to plant other crops is,

=50 - 12

=38 square feet

Thus, if 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.

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Answer:

4

Step-by-step explanation:

3, 4, 4, 5, 6

Answer:

4

Step-by-step explanation:

Sort values from smallest to largest: 3, 4, 4, 5, 6  

Find the center index value:

(N) = 5

Center index = [tex]\frac{(N+1)}{2}[/tex]

Center index = 3

The median is the 3rd value, which is 4.

Hope that this helps!

Answer:

25 in²

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]hb = [tex]\frac{1}{2}[/tex] × 5 × 10 = 25 in²

Answer:

25 units²

Step-by-step explanation:

Formula for calculating the area of a triangle:

A = hb/2

A = 5(10)/2

A = 50/2

A = 25

Answer:

Step-by-step explanation:

Reciprocal of (-3)/8 = -8/3

[tex]\frac{2}{7}*\frac{-8}{3}=\frac{2*(-8)}{7*3}=\frac{-16}{21}[/tex]

Answer:

(-8)(-9)(-3)= -216

Step-by-step explanation:

-8 x -9 x -3 = -216

Answer:

Parallelogram area = (height × base)

Parallelogram area = 3 * 10 cm

Area = 30 square centimeters

Source: http://www.1728.org/quadpar.htm

Step-by-step explanation:

Answer:

21,755.8

Step-by-step explanation:

To solve this equation, we must first find 407% of 60.

To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.

407/100 x 60/1 = 24,420/100

24420 / 100 = 244.2

244.2 is 407% of 60.

Lastly, you subtract 244.2 from 22,000.

22,000 - 244.2 = 21,755.8

Answer:

21755.8

Step-by-step explanation:

407%=4.07

4.07*60=244.2

22,000-244.2=21755.8

Answer:

The answer is B or 8

Step-by-step explanation:

Answer:

B. $8

Step-by-step explanation:

Find the slope of the graph 40/5 = 8

Answer:

3 bird HAHAHAH sana makatulong

Answer:

From point A to point B is x= -7 y= -4

From point B to point C is x= 6 y=-5

Step-by-step explanation:

I think it's kinda hard to see

Answer:

The answer is D. y-10=2(x-1)

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

First, find the slope from the two points:

m=(10-2)/(1+3)=2

let [tex]y_{1}=10 and x_{1}=1[/tex]

thus, y-10=2(x-1)

Answer:

5.5

Step-by-step explanation:

tana=3a=3tana-tana^3a/1-3 tana^2a

=3(1/2)-(1/2)^3/1-3(1/2)^2

=3/2-1/8 /1-3/4

=(12-1/8)/1/4)

=(11/8)/(1/4)

=11/8×4

11/2====5.5

i think it help you do by this way if the answer is not this

Answer:

5%

Step-by-step explanation:

36.10 + 1.90 = 38

1.9 / 38 = 0.05

0.05 x 100 = 5

Answer:

A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.

Step-by-step explanation:

I hope it will help you

Answer:

[tex]d = 16.55[/tex]

Step-by-step explanation:

Given

[tex]z_1 = -8 + 3i[/tex]

[tex]z_2 = 7 - 4i[/tex]

Required

The distance between them

First, calculate the difference (d) between z1 and z2

[tex]d = z_1 - z_2[/tex]

[tex]d = -8 + 3i - [7 - 4i][/tex]

Open bracket

[tex]d = -8 + 3i - 7 + 4i[/tex]

Collect like terms

[tex]d = -8 - 7+ 3i + 4i[/tex]

[tex]d = -15+ 7i[/tex]

Using modulus, we have:

[tex]d = \sqrt{R^2 + I^2}[/tex]

Where

R = Real Part = -15

I = Imaginary Part = 7

So, we have:

[tex]d = \sqrt{(-15)^2 + 7^2}[/tex]

[tex]d = \sqrt{225 + 49}[/tex]

[tex]d = \sqrt{274}[/tex]

[tex]d = 16.55[/tex]

Answer:

Independent variable (x in 2D cartesian) = t (time)

Dependent variable (y in 2D cartesian) = p (battery power)

The independent variable is time.

The dependent variable is battery power.

Time is independent because it cannot be controlled.

Battery power is dependent because it can be controlled.

Since t is in hours,

The battery power begins at 100% and decreases 5% each hour.