Out of 100 students, 80 passed in Science, 71 passed in Math, 10 failed in both subjects nd 7 did not appear in an examination. Find the number of students who passed in both subjects by representing the above information in a Venn-diagram.

Answers

Answer 1

Answer:

68

Step-by-step explanation:

Total students = 100Failed and didn't appear = 10 + 7 = 17Total passed = 100 - 17 = 83Passed in Science and in Math = 80 + 71 = 151Passed in both subjects = 151 - 83 = 68

Answer 2

The total number of students,

→ 100 students

No. of students were absent & failed,

→ 7 + 10

→ 17 students

No. of students totally passed,

→ 100 - 17

→ 83 students

No. of students passed in Science,

→ 80 students

No. of students passed in Mathematics,

→ 71 students

Then add both science and math,

→ 80 + 71

→ 151 students

No. of students passed in both subjects,

→ 151 - 83

→ 68 students

Therefore, the number of students who passed in both subjects are 68 students.


Related Questions

Can you please help me with this?/

Answers

Answer:

1.3 meters

Step-by-step explanation:

The question is: What is the position of Michael's hands relative to the surface of the water?

It seems like it is asking for the amount of space between Michael's hands, and the surface of the water.

His hands are 1.8 meters below his feet, and his feet are 0.5 meters above the water.

To solve: subtract

1.8-0.5

1.3

I hope this helps!

If anyone can assist with a step by step

Answers

Answer:

(in the image)

Step-by-step explanation:

hope it helps

Determine the equations of the straight lines
passing through the following pairs of points.
1)(2,-2) and (3, 4)
2)(-3, -2) and (1,2)
3)(4,6) and (5,2)
4)(5,8) and (7, 1)

Answers

Answer:

1). 6x - 14    2). y = 1x + 1       3). y = -4x + 22     4).y = -7/2x + 51/2

Step-by-step explanation:

1). y2 - y1 / x2 - x1      4 - (-2) / 3-2         = 6

y = 6x + b           4 = 6(3) + b      4 = 18 + b        -14 = b

y = 6x - 14

2). 2 - (-2) / 1 - (-3)      = 1

y = 1x + b        2 = 1(1) + b     2 = 1 + b    1 = b

y = 1x + 1

3).  2 - 6 / 5 - 4      = -4

y = -4x + b      6 = -4(4) + b      6 = -16 + b       22 = b

y = -4x + 22

4). 1 - 8 / 7 - 5      = -7/2

y = -7/2x + 51/2

What is the measure of x?

Answers

Answer:

Step-by-step explanation:

Use similar triangles and proportions to solve:

[tex]\frac{4}{6}=\frac{10}{6+x}[/tex] and cross multiply:

4(6 + x) = 60 and

24 + 4x = 60 and

4x = 36 so

x = 9

The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?​

Answers

Step-by-step explanation:

Hey there!

According to the question;

Perimeter of rectangle (p) = 154 m

Let the breadth of rectangle be "X" then length will be 2x+2.

Then;

Perimeter (p) = 2(l+b)

154 = 2((2x+2) + x)

154 = 2(3x+2)

154 = 6x + 4

or, 6x = 154-4

or, X = 150/6

Therefore, X= 25.

Hence;

Length = 2*25+2 = 52 m

Breadth = 25 m

Hope it helps!

We can assume,

Perimeter of rectangle = 154 m

Breadth = x

Length = 2x + 2

Now, perimeter = 2(l+b)

[tex] \sf \to 154= 2((2x+2) + x)[/tex]

[tex] \sf \to 154 = 2(3x+2)[/tex]

[tex] \sf \to 6x = 154-4[/tex]

[tex] \sf \to x = \frac{150}{6} = 25[/tex]

Then,

Breadth = 25 m

Length [tex] \sf = 2x + 2[/tex]

[tex] \sf \to (2 \times 25) + 2[/tex]

[tex] \sf \to 52 \: m[/tex]

Which of these is an example of a literal equation?
A. 4x + 7 = 22
B. 5+ 20 = 52
C. ax - by = k
D. 2x + 7y

Answers

the answer is C , hope this help

Freebie!! Enjoy! Have a good day!
“Never follow anyone else’s path. Unless you’re in the woods and you’re lost and you see a path. Then by all means follow that path.”
—Ellen DeGeneres

Answers

Answer:

You as well!

Step-by-step explanation:

What is (f.g)(x)?

f(x)=x^3 - 4x + 2
g(x)=x^2 + 2

Answers

Answer:

f(g(x)) =

[tex] {x}^{6} + 6 {x}^{4} + 8x^{2} + 2[/tex]

Step-by-step explanation:

put g(x) instead of any x in f(x)

[tex] {(x ^{2} + 2) }^{3} - 4( {x}^{2} + 2) + 2[/tex]

Find the measure of the indicated angle measurements

Answers

Answer:

70°

Step-by-step explanation:

(180-40)/2

= 140/2

= 70

Answered by GAUTHMATH

Look at the graph below. What type of function is represented by this graph?

Someone come through with the answers pls

Answers

So you need to get your slope formed then rise over run and calculate your graph. Y=Mx+b

10
What are the x- and y-coordinates of point E, which
partitions the directed line segment from A to B into a
ratio of 1:2?
B(-4,9)
9
8
X E
(
mn)(x2 – xı) + x
7-
6
5
4
mm. )(x2 - y) + y
3
-7 -6 -5 4 -3 -2 -14
2 3 4 5 6 7
0 (0, 1)
0 (-1,3)
O(-2,5)
(1,0)
X
-2.
3
A(2,-3)
19

Answers

Answer:

Step-by-step explanation:

The formulas to find the x and y coordinates of E are:

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]  and  [tex]y=\frac{by_1+ay_2}{a+b}[/tex]  where x1, x2, y1, and y2 are from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in to find x first:

[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex]  and now for y:

[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]

The coordinates of E are (0, 1).

Given:

The points are A(2,-3) and B(-4,9).

The point E divides the segment AB in 1:2.

To find:

The coordinates of point E.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of the point is:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Using the section formula, the coordinates of point E are:

[tex]E=\left(\dfrac{1(-4)+2(2)}{1+2},\dfrac{1(9)+2(-3)}{1+2}\right)[/tex]

[tex]E=\left(\dfrac{-4+4)}{3},\dfrac{9-6}{3}\right)[/tex]

[tex]E=\left(\dfrac{0)}{3},\dfrac{3}{3}\right)[/tex]

[tex]E=\left(0,1\right)[/tex]

Therefore, the coordinates of the point E are (0,1).

3 1/2 divided by 2 1/6=

Answers

Answer:

21/13

Step-by-step explanation:

3 1/2 = 7/2

2 1/6 = 13/6

7/2 divided by 13/6

7/2 X 6/13 = 42/26 = 21/13

Answer:

Step-by-step explanation:

3 1/2 = 7/2 and 2 1/6 = 13/6

7/2 divided by 13/6 = 7/2 x 6/13

42/26

21/13 is your final answer.

if 3/4 of a number is added to 5/4 it gives the same result as taking 7/8 of the number from 20 ⅓. Find the number​

Answers

Given:

[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].

To find:

The unknown number.

Solution:

Let x be the unknown number.

[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].

[tex]\dfrac{5}{4}+\dfrac{3}{4}x=20\dfrac{1}{3}-\dfrac{7}{8}x[/tex]

[tex]\dfrac{5+3x}{4}=\dfrac{61}{3}-\dfrac{7}{8}x[/tex]

[tex]\dfrac{5+3x}{4}=\dfrac{488-21x}{24}[/tex]

Multiply both sides by 24.

[tex]6(5+3x)=488-21x[/tex]

[tex]30+18x=488-21x[/tex]

[tex]18x+21x=488-30[/tex]

[tex]39x=458[/tex]

Divide both sides by 39.

[tex]x=\dfrac{458}{39}[/tex]

Therefore, the required number is [tex]\dfrac{458}{39}[/tex].

Helppp and explain pls and thankyou ,I will mark brainlist

Answers

Answer:

4x = 6 + x

3x = 6

x = 2

2 hours..$8

Step-by-step explanation:

geometrical representation of (a+b)2and (a-b)2​

Answers

Step-by-step explanation:

hope this will help you if it really help you mark me as brinalist friend please

Is the discriminant of f positive, zero, or negative?

Answers

Answer:

It might be negative, I'm not sure, but I feel postive about that answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The discriminant is zero because the graph of the parabola is on the x axis.

Find each measure

Please help me

Answers

Answer:

1. m∠CGB=120

3. m∠AGD=90

5. m∠CGD=150

2. m∠BGE=60

4. m∠DGE=30

6. m∠AGE=120

Step-by-step explanation:

Sorry that they are out of order.

Answer:

1. m∠CGB=120°

2.m∠BGE=60°

3.m∠AGD=90°

4.m∠DGE=30°

5.m∠CGD=150°

6.m∠AGE=120°

Step-by-step explanation:

My work is scatterbrained so I'm not gonna be any help if I give an explanation.

Pedro preparou 4kg de salada de frutas, que serviu igualmente entre 16 convidados. Quantos kg de salada de frutas cada convidado recebeu?

Answers

Answer: The amount of salat received by each guest is 0.25 kg

Step-by-step explanation:

We are given:

Mass of the fruit salad prepared = 4 kg

Total number of guests = 16

As the salad was divided equally amongst the guest, so when we divide the mass by the number of guests, we will get the amount of salad received by each guest.

Amount received by each guest = [tex]\frac{4kg}{6}=0.25kg[/tex]

Hence, the amount of salat received by each guest is 0.25 kg

The proportion of observations from a Standard Normal Distribution that take values larger than -0.8 is about:

Answers

Answer:

0.78814

Step-by-step explanation:

From. The Z probability distribution table ;

The values larger than - 0.8

P(Z ≤ - 0.8) = 0.21186

P(Z > - 0.8) = 1 - P(Z ≤ - 0.8)

1 - P(Z ≤ - 0.8) = 1 - 0.21186

P(Z > - 0.8) = 1 - 0.21186 = 0.78814

f equals to 2 f - 20​

Answers

Answer:

20

Step-by-step explanation:

f = 2f - 20

f - 2f = - 20

- f = - 20

f = 20


Find end and mid point

Answers

Answer:

You already post your answer!

Step-by-step explanation:

Maybe you should get two points in order to find midpoint and endpoint!

or you should give other information!

What are the center and radius of the circle defined by the equation (x -2)squared + (y + 3) squared equals 16

Answers

Answer:

Center (h, k) = 2 and -3

Radius = 4

Step-by-step explanation:

Given the mathematical expression;

(x - 2)² + (y + 3)² = 16  ......equation 1.

The general equation for a circle is given by the formula;

x² + y² + 2hx + 2ky + c = 0 ......equation 2.

Where the center is C(-h, -k)

Similarly, the standard form of the equation of a circle is;

(x - h)² + (y - k)² = r² ......equation 3.

Where;

h and k represents the coordinates of the centre.r represents the radius of the circle.

Comparing equation 1 and equation 3, we have;

The center of the circle, C(h, k) are 2 and -3

Radius = √16 = 4

HELPPP PLSSSSSSSSSSSSS

Answers

Answer:

x=(-1/10) is the answer of given algebra

a parallelogram has side lenghts 20 cm and 25 cm. the diagonal opposite the obtuse angle measures 38 cm. what is the measure of the obtuse angle?

Answers

Step-by-step explanation:

1. draw the parallelogram with side 20cm and 25cm respectively and also the diagonal as well.

2.Clearly it forms a triangle in the parallelogram with three known lengths of side.

3.Using the cosine rule : c^2=b^2+c^2 -2bc cos c to find the obtuse angle.

9514 1404 393

Answer:

  114.8°

Step-by-step explanation:

The angles can be found using the Law of Cosines. It tells you ...

  c² = a² +b² -2ab·cos(C)

Then angle C can be found to be ...

  C = arccos((a² +b² -c²)/(2ab)) = arccos((20² +25² -38²)/(2·20·25))

  C = arccos(-419/1000) ≈ 114.77°

The measure of the obtuse angle is about 114.8°.

Write an explicit formula for…

Answers

Answer:

aₙ = 11 - 3(n - 1)

Step-by-step explanation:

Arithmetic Explicit Formula: aₙ = a₁ + (n - 1)d

a₁ = First term

d = Common difference

n = Term number

The first term of the sequence is 11 and the common difference is -3.

Therefore, the explicit formula of the sequence is aₙ = 11 - 3(n - 1).

Max earned $8 for each hour of work he completed. His mom put $120 in his savings account at the end of the summer. By the end of the summer, Max had $400 in his savings account. Write an equation to determine the number of hours Max worked over the summer.

Answers

Answer:

8x +120= 400

Step-by-step explanation:

Let the number of hours Max worked over the summer be x.

Assuming that he had $0 in his bank at the start of summer,

Total savings= 8(number of hours) +120

400= 8x +120

8x +120= 400

To find the value of x, first bring all the constants to one side of the equation.

8x= 400 -120

Simplify:

8x= 280

Divide both sides by 8:

x= 280 ÷8

x= 35

∴ Max worked for 35 hours over the summer.

(show your work!) i only got an hour left for this :c

Answers

Answer:

7 _> x

Step-by-step explanation:

28 - x _> 7(x-4)

28 - x _> 7x-28

28+28 _> 7x+x

56 _> 8x

7 _> x

distribute 7 from (x-4) so then you’re equation would be
28-x>_7x-28
then you’ll combine like terms. (-x and 7) and 28 and -28 )you’re equation is now
-8x>_ -56
divide both sides by -8 and flip your inequality sign your equation is now
x<_ 7 which is your final answer.
x is less than or equal to 7
hope this helps!

Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?

Negative StartFraction 4 over 3 EndFraction.
0
StartFraction 4 Over 3 EndFraction.
3

Answers

Answer:

The slope is 0 the line is constant.

Step-by-step explanation:

.

The slope of side LN is 0.

What is an isosceles triangle?

In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.

Now, in the given isosceles triangle LMN,

Coordinates of vertices are,

L(x₁,y₁)  =  (0, 1),

M(x₂,y₂) = (3, 5), and

N(x₃,y₃) = (6,1)

The slope of side LN ,

Slope = (y₃ - y₁)/(x₃ - x₁)

Slope = (1-1)/(6-0)

Slope = 0

means " LN is a horizontal line".

Thus, the slope of side LN is 0.

To learn more about isosceles triangle:

https://brainly.com/question/20339893

#SPJ2

Craig has a rectengular deck that measures 799 inches and 245 inches premeter and if the addtional deck is 33 inches longer,what legnth would it be? Answer

Answers

Answer:

The length of the lights is 2088 inches

Step-by-step explanation:

The question is mixed up with another (See comment for correct question)

Given

[tex]Length = 799in[/tex]

[tex]Width = 245in[/tex]

Required

The perimeter of the deck (this is what the question implies)

The perimeter (P) is:

[tex]P = 2 * (Length + Width)[/tex]

[tex]P = 2 * (799 + 245)[/tex]

[tex]P = 2 * 1044[/tex]

[tex]P = 2088[/tex]

Shjdksjcksmcjcsnuckamc

Answers

Answer:

you should make the picture more clear, i cant see the answer choices

Answer:

use pythogoream theorem that is,

Step-by-step explanation:

c*2=a*2+b*2

so in order to find a*2;

a*2=c*2-b*2

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