The students must take part in at least one of the activities among the extra curricular activities in a school. Out of 40 students of a class, 25 students take part in debate and 30 students take part in quiz contest, then i. show the above information in a Venn diagram. ii. how many students have taken part in both activities? iii. how many students have taken part in only one activity?​

Answers

Answer 1

Answer:

Total number of students = 40Debate = 25 studentsQuiz contest = 30 students

i)

Sum of two parts:

25 + 30 = 55

Students taking part in both parts:

55 - 40 = 15

ii)

Debate only:

25 - 15 = 10

Quiz contest only:

30 - 15 = 15

Venn diagram will look like this:

10            15        15Debate - both - quiz contest

Related Questions

(2x+y)^2- (y-2x)^2
pleaseee help me

Answers

Assuming you are asked to simplify the expression?

= (4x^2 + 4xy + y^2) - (y^2 - 4xy + 4x^2)
= 4x^2 - 4x^2 + 4xy + 4xy + y^2 - y^2
= 8xy

What is the domain in roster notation(numerical order) x= -2,-1,1,3,3 y=3,-3,0-3,3

Answers

Answer:

Domain is {x|x = -2, -1, 1, 3}

Step-by-step explanation:

I. When domain is x.value and renge is y.value

Got more question or something to discuss? leave comment below

let h (x)= -x-18 find h (3)

Answers

Answer:

-21

Step-by-step explanation:

h(x) = -x-18

h(3) = -(3)-18 = -21

Answer:

[tex]h(3)=-21[/tex]

Step-by-step explanation:

One is given the following:

[tex]h(x) = -x - 18[/tex]

One is asked to find the value of ([tex]h(3)[/tex]). Substitute ([tex]3[/tex]) in place of ([tex]x[/tex]) and simplify to evaluate,

[tex]h(x)=-x-18\\\\h(3)=-(3)-18\\\\h(3)=-3-18\\\\h(3)=-21[/tex]

The square below represents a unit or a whole. What fraction is represented by the

Answers

20/28 or 10/14 or 5/7
You can keep reducing until both sides of the fraction can't be divided by the same number anymore.

Eileen is baking a cake in a square prism shape. The volume of the cake is 224 cubic inches, and the cake has a
height of 3.5 inches. What are the side lengths of the cake?

Answers

Answer: 8 inches

Step-by-step explanation:

224/3.5 = 64

8*8=64

8in * 8in * 3.5In = 224 cubic inches

PLS HELP WILL MARK AS BRAINLIEST ​

Answers

Answer:

SEE THE IMAGE FOR SOLUTION .

HAVE A GREAT DAY

Answer:

11. D

12. C

13. D

14. B

15. E

Step-by-step explanation:

11.

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

A is 3/4

B is 2/3

C is 9/10

D is 4/5

E is 2/5

the closest to 5/6 is 4/5.

12.

this is totally easy. just simply additions and one subtraction (to see what is left).

8+10+9 = 27

so, he has

60 - 27 = 33 hours left

13.

the mean value of a series of equal weighted numbers is simply their sum divided by the amount of numbers.

so,

(2+5+3+6+4)/5 = 20/5 = 4

14.

a scale factor is always applied to all dimensions, otherwise the result will be distorted. and that would be especially bad for a map.

so, clearly the width of the larger map is 3 times the width of the smaller map. therefore, the length of the larger map has to be also 3 fine the length of the smaller map.

3×6 = 18

15.

3t - 10 = 8

3t = 18

t = 6

FACTORIZA COMPLETAMENTE LA SIGUIENTE EXPRESION ALGEBRAICA.
1 - n6 =

Answers

Answer:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1).

Step-by-step explanation:

1 - n^6 = (1 - n^3)(1 + n^3)

1 - n^3 = -(n -1)(n^2 + n + 1)  and

1 + n^3 = (n + 1)(n^2 - n + 1)

So Substituting we have:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1)

What is the reference angle for 283°?

Answers

What is the angle to get the reference angle

when a sum of rupees hundred is divided in the ratio of 2 is to 3 find the share of each part ​

Answers

Answer:

40 and 60

Step-by-step explanation:

Sum of ratio=2+3

sum of ratio=5

Share of part 2=2/5*100

share of part 2=40

Share of part 3=3/5*100

share of part 3=60

Note:if you need to know any question please let me know.

someone help me asap

Answers

Answer:

19/20 cups

Step-by-step explanation:

Add the amounts together

1/4 + 7/10

Get a common denominator of 20

1/4 *5/5   + 7/10 *2/2

5/20 + 14/20

19/20

Answer:

19/20

Step-by-step explanation:

find a common denominator then do the same with the numerator then add.

lines of latitude also called parallels do what​

Answers

Answer:

Hi, there!

Lines of latitude are also called parallels because they never touch one another.

Step-by-step explanation

Circles of latitude are often called parallels because they are parallel to each other; that is, planes that contain any of these circles never intersect each other:

Two-thirds a numberx plus 4 is 8.

Answers

Answer:

n = 6

Step-by-step explanation:

To solve this you can use an equation such as:

[tex]\frac{2}{3} n+4=8\\\\[/tex]

We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:

[tex]\frac{2}{3}n=4[/tex]

So now we divide both sides by 2/3.

This now equals:

[tex]n=6[/tex]

How do you write 0.583 as a fraction?

Answers

Please mark me brainliest

0.583 583/1000 58.3%

Solve for p.

8 − 4(2p − 2) = 7 + p + 9

p =

Answers

Answer:

p = 0

Step-by-step explanation:

[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]

➡️ [tex]8 - 8p + 8 = 16 + p[/tex]

➡️ [tex]16 - 8p = 16 + p[/tex]

➡️ [tex] - 8p = p[/tex]

➡️ [tex] - 8p - p = 0[/tex]

➡️ [tex] - 9p = 0[/tex]

➡️ [tex]p = 0[/tex]

Write the equation of the line that passes through the points
(3,-2) and (6, 1).
y=x-5
y = 5x + 1
y = -x + 5

Answers

Answer:

It is y = x - 5

Step-by-step explanation:

General equation of a line:

[tex]{ \bf{y = mx + c}}[/tex]

m is the gradient, and c is y-intercept.

For gradient:

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1}} [/tex]

substitute:

[tex]slope = \frac{1 - ( - 2)}{6 - 3} \\ \\ = \frac{3}{3} \\ slope \: = 1[/tex]

m = 1

for y-intercept:

consider point (6, 1):

[tex]y = mx + c \\ 1 = (6 \times 1) + c \\ 1 = 6 + c \\ c = 1 - 6 = - 5[/tex]

therefore:

[tex]{ \sf{equation \: is \: \{y = x - 5 \}}}[/tex]

7. Choose the correct answer. If there is direct variation and y= 27 when t= 4, find y when = 12.

a. 9

b. 0.56

c. 81

d. 1.78​

Answers

Answer:

c

Step-by-step explanation:

Given direct variation between y and t , then the equation relating them is

y = kt ← k is the constant of variation

To find k use the condition y = 27 when t = 4 , then

27 = 4k ( divide both sides by 4 )

6.75 = k

y = 6.75t ← equation of variation

When t = 12 , then

y = 6.75 × 12 = 81

Find the minimum value of the function:
f(x) = x2 + 9x – 16.

Answers

complete the square by halving the x coefficient and putting that in a squared bracket with x:

(x + 4.5)^2

This will give us an extra 20.25 we don’t want, so takeaway 20.25:

(x + 4.5)^2 — 20.25

Takeaway the 16 in the question:

(x + 4.5)^2 - 20.25 - 16 = (x + 4.5)^2 - 36.25

The minimum x coordinate is the number in the bracket with the opposite sign, thus the answer is -4.5 (the minimum y coordinate is the number outside the bracket with the same sign, -36.25)

b. (x + 3)(x^2 – 3x + 27 )=

Answers

(x+3)(x^2-3x+27)

x^3-3x^2+27x+3x^2-9x+81

x^3+19x+8

Andres is on the tennis team. Last year he bought 7 tubes of tennis balls. The year before he bought k tubes. Each tube holds three balls.

a. Write an expression using parentheses to describe how many tennis balls Andres bought in the last two years.

b. Given that k=6, evaluate your expression using the distributive property.​

Answers

Answer:

A. 7(3) + 3k = total amount of tennis balls bought in 2 years

B. 39 tennis balls

Step-by-step explanation:

B. 7(3) + 3(6)

21 + 18 = 39 tennis balls

Margot draws a shape with one pair of parallel lines that are four centimeter apart she then flips the shape across a horizontal line how many pairs of parallel lines are on the flipped shape?

Answers

Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.

We can define two parallel lines as two lines that never meet.

And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:

(x, - y)

And all the reflections across horizontal lines will only affect the y-value of the points.

Now, particularly, we have two vertical and parallel lines.

Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.

From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.

If you want to learn more, you can read:

https://brainly.com/question/15627170

What is a dichotomous key?

a tool that allows scientists to measure how much glucose is produced by plants

a tool that allows for the identification of an organism based on a series of paired statements that are based on characteristics

a tool that is used to predict the types of offspring produced when two plants are crossed

a tool that is used to measure the height of a plant

Answers

the answer is: a tool that allows for the identification of an organism based on a a series of paired statements that are based on characteristics.

Which equation has the same solution as x2 + 16x + 9 = -3?

Answers

Answer:

Step-by-step explanation:

x² + 16x + 9 = - 3

x² + 16x + 12 = 0

D = 16² - 4(1)(12) = 208

√D = 4√13

[tex]x_{1}[/tex] = ( - 16 - 4√13 ) ÷ 2 = - 8 - 2√13 ≈ - 15.21

[tex]x_{2}[/tex] = ( - 16 + 4√13 ) ÷ 2 = 2√13 - 8 ≈ - 0.79

(−2x + 8) + (−8x^2− 8x)

Answers

Answer:

-8x^2 -10x + 8

Step-by-step explanation:

there is no multiplying just adding

If 2 – x > x – 2 then the solution of x is

Answers

[tex]\\ \sf\longmapsto 2-x\gt x-2[/tex]

[tex]\\ \sf\longmapsto 2+2\gt x+x[/tex]

[tex]\\ \sf\longmapsto 4\gt 2x[/tex]

[tex]\\ \sf\longmapsto x\lt \dfrac{4}{2}[/tex]

[tex]\\ \sf\longmapsto x\lt 2[/tex]

Add x + 2 to both sides
2 + 2 > x + x
2x < 4
x < 2

how long does it take jesse to accelerate from rest in his car to a velocity of 180 km/h if the car accelerates at 15 km/h/s

Answers

Answer:

I think answer is 195.Is it right make me a braillent

student.

How would I prove the congruency of these triangles?

Answers

Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

2(k + 1) = -4(k - 2)​

Answers

Answer:

1

Step-by-step explanation:

2(k + 1) = -4(k - 2)

2k + 2 = --4k+8

2k+4k=8-2

6k=6

k=6/6

k=1

The image of the point (3, -5) under a translation is (8, –4). Find the coordinates
of the image of the point (-4, -6) under the same translation.

Answers

(1,-5). The translation added 5 to 3 and 1 to -5 to get the translation point. So you add 5 to -4 and 1 to -6 to get that point.

A man is37years old and his child is eight.how many years ago was the product of their ages 96 as in quadratic equation step by step​

Answers

Answer:

5 years

Step-by-step explanation:

Let x be the unknown numer of years ago when the product of the man and his child's age was 96.

》 x years ago, the man's age = 37 - x

the child's age = 8 - x

(37 - x)(8 - x) = 96

296 - 37x - 8x + x² = 96

x² - 45x - 296 - 96 = 0

x² - 45x - 200 = 0

x² - 5x - 40x - 200 = 0

x(x - 5) -40(x - 5) = 0

(x - 5)(x - 40) = 0

x = 5 years ago or x = 40 years ago

but x = 40 > son's present age.

Thus, x = 5.

Therefore, 5 years ago the product of the ages of the man and his child was 96.

María va de compras a una tienda departamental y adquiere los siguientes productos: 2 pantalones, 4 blusas, 3 pares de calcetas y 2 pares de tenis. El precio de los artículos por unidad es: pantalones $ 600.00, blusas: $350.00, calcetas: $120.00 y tenis: $ 950.00. Si María contaba con $5000.00, calcula cuánto dinero le sobró después de las compras realizadas.

Answers

Answer:

Pantalones = $600.00 × 2

$ 1,200.00

Blusas = $350.00 × 4

$ 1,400.00

Calcetas = $120.00 × 3

$ 360.00

Par de tenis = $950.00 × 2

$ 1,900.00

Total a pagar = $4,850.00

$5,000.00

- $4,860.00

Sobrante = $140.00

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