in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram

Answers

Answer 1

The total number of students who studied only two subjects is 13.

The given parameters:

Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2x

The number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;

[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]

Thus, the total number of students who studied only two subjects is 13.

Learn more about overlapping three sets here:  https://brainly.com/question/2041029


Related Questions

Can someone please give me the (Answers) to this? ... please ...

Answers

a.) The SAS Triangle Congruence Postulate states that if if a pair of corresponding sides, a pair of corresponding angles, and another pair of corresponding sides in two triangles are congruent, then the two triangles are congruent. Therefore, we can see that in both triangles, we are only shown a corresponding, congruent right angle. We need two pairs of sides with the corresponding right angles to prove that the triangles are congruent via SAS. We would need to know the length of side VX, and it’s corresponding side length, XV. We would also need to know the side lengths of WV and it’s corresponding side length, XK. We would then need some sort of symbol to represent a congruent relationship if the side lengths are congruent. Then, we would have two pairs of corresponding, congruent sides, and a pair of corresponding, congruent angles. Then, we would have a Side-Angle-Side.

b.) We are given two triangles with a pair of corresponding, congruent sides. We need to have a pair of corresponding, congruent angles, another pair of corresponding, congruent sides to follow SAS. Therefore, we would need to know the angle measures of angles UVW and KVM. We know that they are vertical angles, so they are indeed congruent. Now, we would need to know the side lengths of sides WV and VM. If those sides are congruent, then we have a pair of corresponding, congruent sides, a pair of corresponding, congruent angles, and another pair of corresponding, congruent sides, making SAS.

c.) The Angle Side Angle Postulate states that if there is a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles in two triangles, then the two triangles are congruent. We have a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, but we need another pair of congruent, corresponding angles. Therefore, we would need to know the angle measures of angles MLK and STU. Then we would have a a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles.

Please give Brainliest! This took a lot of time!

Answer:

To be congruent at b. no. UV= VK,V=V,UW=KM.

To be congruent at C no. M=S,LM=ST,LK=TU.

Pls help me with this

Answers

Step-by-step explanation:

a)

clearly, A and B are mirrored images of each other around the x-axis.

and the equation of the x-axis is simply

y = 0

b)

this is trickier.

first of all, the mirror line is now vertical and not horizontal.

and where is it ? of course, in the middle between A and B.

how many units are there between A and B ?

I am counting 5. so, the middle between them is 2.5 units.

so, let's go e.g. from A 2.5 units to the right (in the direction of B).

where do we end up ? at x = 0.5

and that is also the equation of the vertical line there.

again

x = 0.5

what is what is sixth eighths times five(PLEASE HELP i'M STILL FAILING MATH!!!!!!!!!!!!!!!!!!!!)

Answers

Answer:

[tex]3\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{6}{8} *\frac{5}{1}[/tex]

[tex]\frac{30}{8}[/tex] multiply across

[tex]\frac{15}{4}[/tex] simplify and convert into mixed number

[tex]3\frac{3}{4}[/tex]

If you put $1000 in a savings account that yields an 7% annual rate of interest that is compounded weekly, how much would that be worth in 25 weeks

Answers

Answer:

A = $1034

Step-by-step explanation:

The relevant Amount function is A = P(1 + r/n)^(n*t), where r is the annual interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.

There are 52 weeks in a year.  Hence, n = 52, and 25 weeks = 25/52 year, or 0.481 year.  

The accumulation (value of the savings) would be

A = ($1000)(1 + 0.07/52)^(52*[25/52]), or approximately

A = ($1000)(1.0013)^25, or approximately A = $1034

triangle abc has an area of 6 and a perimeter of 12. if the triangle is dilated by a scale factor of 3 centered at the origin, what is the area and perimeter of its image, triangle a'b'c'?

Answers

Answer:

perimeter: 36 unitsarea: 54 square units

Step-by-step explanation:

The perimeter is multiplied by the scale factor:

  image perimeter = 3 × original perimeter = 3×12 = 36 units

The area is multiplied by the square of the scale factor:

  image area = 3² × original area = 9×6 = 54 square units

rationalize the denominator 4√2/4√5 ​

Answers

Answer:

answer given in the phot

What is the velocity of a car that traveled total of 75 km north in 1.5 hours?

Answers

Answer:

hope this helped!

Step-by-step explanation:

75 km = 75000 m

1.5 hours = 5400 sec

Applying the formula

Velocity

=

75000 m

5400 s

=

13.89 m/s

To sign up for cable service, you must purchase the DVR recorder
upfront, then pay $19.95 per month for service. Eight months
after signing up, Martha had paid a total of $288.60 for the
recorder and service. Write and solve a linear equation to find
the total amount she will have paid for the 2-year agreement she
signed.

Answers

The answer is 19.95x+2y=288.60
I’m not 100% sure

HELP ASAPPPPPPP!!!!!

Answers

you will do 7x2x2x3 then after u find the answer you will write it in a fraction form like for example if you get 64 which is the answer and u will write 6 over 4 and that is the answer.

Solve: x²+5x-6 = 0
Answer please​

Answers

Given that:

x² + 5x - 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 1 × 6 = 6

→Difference of the constant term and the coefficient of x² = 6 - 1 = 5

Now the given equation can be written as,

⇛x² + 6x - 1x - 6 = 0

(Here we simply applied the correc sign and splitted the middle term in two terms)

Now let's take the common terms

⇛x(x + 6) - 1(x + 6) = 0

On grouping we get,

⇛(x - 1)(x + 6) = 0

Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.

⇛(x - 1) = 0 or (x + 6) = 0

⇛x - 1 = 0 or x + 6 = 0

⇛x = 1 or x = -6

Here we got two solutions of the equations. This means thet are in correct form.

Answer: The value of X is 1 or -6.

also read similar questions: Solve the following equations. X^2 + 5x + 6 = 0 (Factorise) X^2 + 7x + 11 = 0 (Use the quadratic formula)..

https://brainly.com/question/1296240?referrer

solve the equation x^2+5x+6=0

https://brainly.com/question/22261612?referrer

pls help me with this:((((​

Answers

Answer:

See image

Step-by-step explanation:

Use y = mx + b called the slope-intercept form of the equation because you can pick the slope and also the y-intercept right off this equation. If you know what to look for, the information is just right there waiting for you to see it.

The m is the slope, that is the number in front of the x.

The b is the y-intercept, that is the number added on at the end of the equation.

Help...(MATH).......

Answers

If f(x) = √x and g(x) = 7x + b, then

f(g(x)) = f(7x + b) = √(7x + b)

If the plot of f(g(x)) passes through (4, 6), then

f(g(4)) = √(7•4 + b) = √(28 + b) = 6

Solve for b :

√(28 + b) = 6

(√(28 + b))² = 6²

28 + b = 36

b = 36 - 28

b = 8

the original price of a jacket was $74.00 .A store manager marked the price down by
25 1/2% . By how much was the price reduced?

Answers

If you mean reduced by 25.5%, then it got reduced by 34.46

74 = 100%
1.35 = 1% --> 100% : 74 = 1.35
34.46 = 25.5%

the new price is 39.54

At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = âŚx⌉ equal? Check all that apply. â€""8 â€""5. 2 â€""1. 7 0 2. 4.

Answers

The x-values that will make the output values of the floor and ceiling functions equal are;

Option A: -8

Option D: 0

The complete question is;

At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = ⌈x⌉ equal? Check all that apply.

A) –8

B) –5.2

C) –1.7

D) 0

E) 2.4

When it comes to floor functions and ceiling functions, they are always equal to each other when the x value is an integer.

Now, looking at the giving options the only integers we have are -8 and 0.

Thus, the only values in the options that would make the output values of the floor function and ceiling function equal are -8 and 0.

Read more on floor function and ceiling function at; https://brainly.com/question/7321190

PLEASE NO LINKS AND NO NEGATIVITY

Answers

10p-40
do 2.5x4p and 2.5x16 and solve from there

Noah drove 480km in 5 hours. About how far did he drive in 2 hours?

Answers

Answer:

192km

Step-by-step explanation:

480/5 = x/2

5x = 960

/5     /5

x = 192

Answer:

If Noah's driving was at a constant rate, he drove 192 km in 2 hours

Step-by-step explanation:

In order to find the answer to this question then we can set up two equations with x meaning the km/h he is going and y as our answer.

Noah drove 480km in 5 hours can be set up as:

480 = 5x

Dividing both side by 5:

x=96

and we want to find the number of km he drove in 2 hours:

y = 2 x

because we know x=96 from the first equation

y = 196 so, therefore, Noah drove 192 km in 2 hours

anybody help please hm​

Answers

Answer: [tex]2^{21}[/tex]

Step-by-step explanation:

Does anyone know how to answer?

Answers

Answer:

  A, D, F

Step-by-step explanation:

It is convenient to let a calculator or spreadsheet evaluate the function for you. Reflection over the y-axis means x is replaced by -x in the original function definition.

The values that show up on the reflected graph are ...

  (-7, -10.206)

  (0.5, -0.221)

  (9, -0.003)

Why are all of the equivalent ratios for 1 to 105

Answers

Answer: it’s infinite

Step-by-step explanation:

Evaluate
12: (2+2)
67
4
3
111
Help me and I will give u 20 points

Answers

Answer:

it is 27/16 or 1 11/16

Step-by-step explanation:

how do you graph parametric equation on desmos?

Answers

Answer:

yes, you can graph parametric equations there. (It's called Desmos, by the way, not “Demos.”) Click on the triple-bar symbol at the top left, which takes you to a drop-down menu. Scroll down that menu until you see the entries for parametric equations. Hope this helps!

Step-by-step explanation:

pls say thx


How many solutions does this system of equations
have?

Infinite
None
One

Answers

Answer:

Step-by-step explanation:

None

The hint is in the slopes which is the number in front of x. Both equations have a slope of 1/2

The y intercepts are different (4 for the top one 2 for the bottom one). That tells you that you have two lines and not one of top of the other. These two lines never meet, because the slopes are the same. Therefore there are no values that both lines have in common.

That makes the answer none.

Which equation represents the line that is perpendicular to and passes through (-12,6)?.

Answers

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

m is the slope of the lne(x1, y1) is any point on the line.

Given the equation y = 3/2x + 1, the slope of the line is 3/5

The slope of the line perpendicular is -5/3

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:https://brainly.com/question/19417700

help help help help help

Answers

Answer:

i think the center (-7,6) and r = 7

Select the correct answer.
2
Which equation describes the line graphed above?
O A.y = -41 - 5
OB. y = 5 - 4
OC. y = -1/5 - 4
OD. y = -41 - 1

Answers

Answer:

I think its OC

Hope it helps

Please help with this question!!!!

Answers

Answer:

what is your question ?

Step-by-step explanation:

Challenge Question: A(1, 5), B(5, 2), C(-1, 2) PLZ ANSWER ASAP
Translate 3 units left, 4 units down
Reflect over y - axis
Dilate with a scale factor of 1.5
Rotate 90 degrees C.C about the origin.

Answers

Answer: the

Step-by-step explanation: your so broke you cant even afford lunch

The vertices of quadrilateral PQRS are listed.

P(3,7), Q(6,-2), R(0,-4), S(-3,5)

Which of the following is the strongest classification that identifies quadrilateral PQRS?

A.
Quadrilateral PQRS is a rectangle.
B.
Quadrilateral PQRS is a trapezoid.
C.
Quadrilateral PQRS is a square.
D.
Quadrilateral PQRS is a parallelogram.

Answers

Answer:

Rectangle

Step-by-step explanation:

Did it on

Option A is correct.

As, Quadrilateral PQRS is a rectangle because it has four right angles.

What is a rectangle?

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

Explanation:

Given:

The coordinate of vertices of quadrilateral PQRS are P(3,7), Q(6,-2), R(0,-4), S(-3,5).

Slope for two points (x1,y1) and (x2,y2) is given by:

m = y1-y2/ x1 - x2

.so, we get,

The slope of PQ is = -9/3 = -3

The slope of QR is = -2/-6 = 1/3

The slope of RS is = -3

The slope of SP is = 1/3

we know that,

The slopes of perpendicular lines are opposite reciprocals.

we get,

∴ all pair of sides has slopes that are negative reciprocals;

this means the figure  has 4 right angle, so it is  a rectangle.

Therefore, Quadrilateral PQRS is a rectangle because it has four right angles.

To learn more on rectangle click:

brainly.com/question/29123947

#SPJ2

who is better Green Bay packers or the bears

Answers

Answer:

green bay packers all dayyy

Step-by-step explanation:

217.8 as mixed number

Answers

Answer:

27 1/8

Step-by-step explanation:

217/8= 27.125 = 27

217 - (8 x 27) = 1

We've now simplified 217/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

27 1/8

Simplifying our fraction

In this case, our fraction (1/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 8 is 1.

1/1 = 1

8/1 = 8

When we put that together, we can see that our complete answer is:

27 1/8

Answer:

217  4/5

Step-by-step explanation:

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