9) The Venn diagram shows the number of elements in sets A, B and C.
B
12 -
13
14
20 -
13
8
a) n(AUBUC) = 74
Find x
b) n(E)=100
(3)
Find y
(1

9) The Venn Diagram Shows The Number Of Elements In Sets A, B And C.B12 -131420 -138a) N(AUBUC) = 74Find

Answers

Answer 1

Answer:

The value of x is 4.

The value of y is 26.

Step-by-step explanation:

Here in qn a)

It has been given that n(AUBUC)=74

So we just add all components of n(AUBUC) and add it in an equation which equals to 74;

13 + 12 - x + x + 20 - x + 15 - x + 8 + 14 = 74

82 - 2x = 74

82 - 74 = 2x

8 = 2x

4 = x

So x is 4.

Now for qn b)

It has already been given that n(AUBUC) = 74 and n(U) = 100

so to find y we simply substract n(AUBUC) from n(U)

y = n(U) - n(AUBUC)

= 100 - 74

=26

Just ask me in the comments if you have any questions.


Related Questions

Max is painting a fence.The table shows the number of square feet he painted after various numbers of minutes. What is the rate of change?

Amount of Fence Max Painted
Minutes
Square Feet Painted
1
3.5
2
7
3
10.5
4
14
5
17.5
–3.5
–1
1
3.5

Answers

Answer:

3.5

Step-by-step explanation:

-3.5 is the correct answer

What is 16/5 inches by 10/4 inches in area

Answers

Answer: 8

Step-by-step explanation:

16/5 x 10/4 = 8

Answer:

Area = 8 inches

Step-by-step explanation:

[tex]\frac{16}{5} *\frac{10}{4} = \frac{160}{20} (Reduce) =8[/tex]

Please help ASAP!!!
A rectangle is formed by placing two identical squares side by side. the area of the rectangle is 892 cm2. What is the perimeter of the square?

Answers

Answer:

288 cm^2

Step-by-step explanation:

If you have 2 congruent squares, side by side, the perimeter is 6*sidelength.

We divide 72 by 6 to find sidelength, and get 12.

We square 12 to find the area of a square, and get 144.

Multiply by 2 to find the area of the rectangle, and get 288 cm^2

3^8 times 3^2, using properties of exponents

Answers

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]

Question in attachment. Will give brainliest if correct.

Answers

Answer:

x= 50

Step-by-step explanation:

The angles of a triangle adds up to 180

First we can see R, S, O is equal to S, R, O

We can also see that the angles are equal to N, O, S

So R, S, O and S, R, O are both 65 degrees

Add 65 + 65

= 130

180 - 130 = 50

x= 50

how do i calculate an enlargement

Answers

Answer: The formula involves the dimension of the space available divided by the size of the original. In this case, that is 94 divided by 72. The answer is 1.31. Move the decimal point and that is a 131 percent enlargement.

Step-by-step explanation:

The
square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11

Answers

Answer:

I'm not really sure what you're asking because there's no image.

Step-by-step explanation:

please try to reword it and maybe show a picture .

Name the marked angle in 2 different ways.

Answers

∠HGF ∠EGF

Hope this helps! :)

Need help!!! Please explain!!!

Answers

g(x) = 4x
h(x) = x + 2

(h(g(x)) = (4x) + 2
= 4x + 2

You’re supposed to substitute the x in h(x) with the function of g(x). I guess you could say you’re putting g(x) in h(x).

help me out please asap

Answers

Answer:

Step-by-step explanation:

There are 2 repeating digits in .64(with a line over both of those numbers). The value to multiply on to both sides will be 100. To find the fraction that represents the repeating decimal, there are steps to follow. First, make sure the decimal is just before the repeating decimals. It is, so we are good there. Next, move the decimal over how ever many places to get it right after the repeating numbers. That means moving the decimal 2 places to the right. That's the same as multiplying by 100:

100x = 64.6464

What we have now is a system with the equation above and

x = .6464

We subtract them:

100x = 64.6464

-     x =     .6464

to get

99x = 64. Solving for x:

x = 64/99

That's how you change a repeating decimal to a fraction.

Question 3 : enlarge each shape by the scale factor given a) enlager by scale factor -2 using (0,0) as the center of enlargement

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the shapes or their coordinates are not given.

The general explanation, however, is as follows:

To dilate a shape around the origin (i.e. (0,0)), we simply multiply the side length of the shape or the coordinates of the shapes by  the scale factor.

Take for instance:

A triangle of side lengths 3,4,5 dilated around the origin by a scale factor of 2.

The new triangle will have 6, 8 and 10 as its side lengths (i.e. we multiply 3, 4 and 5 by 2).

Another instance is:

A rectangle with the following coordinates: (1,1) (4,1), (4,5) and (1,5)

When dilated around the origin by a scale factor of 2, the new rectangle will have the following coordinates: (2,2) (8,2), (8,10) and (2,10)

An auditorium with 120 seats begins to fill 20 minutes prior to the start of a lecture. If it fills at a rate of 12 students per minute, what fraction of the seats are empty 12 minutes prior to the start of the lecture.

Answers

Answer:

Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.

so 96/120

48/60

24/30

12/15

so the answer is 12/15

Enter an equation in point-slope form for the line. (4, 4) and (-9, 4) is on the line..​

Answers

Answer:

y=4

Step-by-step explanation:

it's a straight line on y=4

Members at a gym pay $9 per class plus a one-time $120 membership fee. Non-members pay $15 per class. How many classes would a member have to take to save money compared to taking classes as a non-member?

Pls help I have only a few for mins and I need step by step equation :) pls pls pls

Answers

Answer:

the answer is 45 dollars

Step-by-step explanation:

its because:

Answer:

25 dollors hope this helps

Step-by-step explanation:

Don’t need to send the math or anything just need the answer will give brainliest!!!

Answers

Answer:

920

Hope that this helps!

if A={2,3,5,7,9,10} B={2,10,12,13} then a-b is​

Answers

A = {2,3,5,7,9,10}

B = {2,10,12,13}

A-B = ?

Now,

A-B = {2,3,5,7,9,10} - {2,10,12,13}

= {3,5,7,9}

I hope you understand...

Mark me as brainliest...

A textbook store sold a combined total of 361 chemistry and biology textbooks in a week the number of chemistry textbooks sold was 45 more than the number of biology textbooks sold.how many textbooks of each type were sold?

Answers

Answer:

Chemistry Books- 203 and Biology Books- 158

Step-by-step explanation:

I'm not sure myself how I did it since I don't have an exact method but I can guarantee that the answer is correct. (Quick sum-up of what I kinda did though. Divide both numbers by 2, then added (22, about half of 45), add 180 (about half of 361) and then subtracted 202 from 361. Realized that it was one off so I just made it 203 and 158)

Sorry for the mess of an explanation but hope it helps!

I hate math, but math "love" me, keep on sticking to me.

Answers

I love math but math hates me

Write an algebraic equation to represent the following problem:


Five friends went out to dinner. Each one of them left an $18 dollar tip and they also split the $148 bill evenly. How much did each person pay for dinner?

PLS I NEED THIS!! I'll give brainiest if correct!!!!!!

Answers

Answer:

$47.60

Step-by-step explanation:

[tex]18+\frac{148}{5} =47.60[/tex] ($)

A regular decagon has a radius of 8 cm.

What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.

188 cm2
198 cm2
304 cm2
375 cm2

Answers

Answer:

188cm^2

Step-by-step explanation:

A regular decagon has ten sides. Therefore, a decagon with radius of 8 cm has an approximate area of 188 cm²

What is a decagon?

A decagon is a polygon with 10 sides.

Therefore, the approximate area of a decagon can be found as follows:

area of decagon =  r²sin(360/n) / 2 × 10

where

r = radius

n = number of sides

Therefore,

r = 8 cm

area of decagon = 8² sin (360/ 10) / 2 (10)

area of decagon = 64 sin 36 / 2 × 10

area of decagon = 64 × 0.58778525229 / 2 × 10

area of decagon = 37.6182561467 / 2 × 10

area of decagon = 18.8091280734 × 10

area of decagon = 188 cm²

learn more on decagon here: https://brainly.com/question/27314677

Joseph has 16 metres of rope. He wants to cut pieces of rope that are 0.2 metres long.

How many pieces can he cut?


Ignore the answer I put

Answers

Answer:

80

Step-by-step explanation:

Given that :

Length of rope = 16 m

Length per Piece of rope to cut = 0.2 m

The number of pieces of rope that can be cut :

Length of rope / length per piece of rope

16 / 0.2

= 80

Hence, 80 pieces of 0.2 m rope will be cut

3x+25=7x URGNET urgenttt

Answers

Answer:

6.25

Step-by-step explanation:

3x+25=7x

3x-7x=-25

-4x=-25

x=6.25

6.25 is the answer.!

525/4 ÷ 35/4 need the answer quick​

Answers

Answer:

15

Step-by-step explanation:

525/4 ÷ 35/4

=525/4 x 4/35

=525/35

=105/7

=15/1

=15

Solve the equation 5x - 10 = 25
please tell me the working

Answers

Answer:

x = 7

Step-by-step explanation:

5x - 10 = 25

shift -10 to the other side then -10 become plus 10

5x = 25 + 10

now do addition in right hand side

5x = 35

shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)

x = 35/5

x = 7

The solution to the equation 5x - 10 = 25 is x = 7.

To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.

First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:

5x - 10 + 10 = 25 + 10

This simplifies to:

5x = 35

Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:

5x/5 = 35/5

This yields:

x = 7

Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:

5(7) - 10 = 25

35 - 10 = 25

25 = 25

Since the equation holds true, we can conclude that x = 7 is the solution.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ6

Question 1 of 10
What are the solutions of x2 - 5x+7=0 ?

Answers

The answer is the the question is A.

I don't really understand it's due soon can someone please help me​

Answers

Answer:

60

Step-by-step explanation:

Given: 1/2a + 2/3b =50

(Since b is equal to 30 we will automatically replace b with 30)

Step 1: Simplify both sides of the equation.

1/2a+20=50

Step 2: Subtract 20 from both sides.

1/2a=50-20

1/2a=30

Step 3: Multiply both sides by 2.

2(1/2a) 2(30)

a=60

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

a = 15

Step-by-step explanation:

1/2(a) + (2/3 x 30) = 50

2/3 x 30 = 20

1/2(a) + 20 = 50

Rearrange > 20 to -20

-20 + 50 = 30

1/2(a) = 30

Rearrange 1/2 to 2

2 > 30/2

30/2 = 15

a = 15

Hope this helps, and please let me know if it is correct or isn't.

Have a nice day

Please solve with explanation

Answers

Answer:

The amount of wood left is 36 9/16 in

Step-by-step explanation:

Here, we want to get the amount of wood left

To calculate this, we have to subtract what is cut and what is wasted from the original total length

So we have what is left as follows;

45 1/2 - 8 7/8 - 1/16

45 1/2 = 91/2

8 7/8 = 71/8

91/2 - 71/8 - 1/16

(728 - 142 - 1)/16

585/16 = 36 9/16 in

Summation properties and rules hurry please

Answers

Answer:

It is c

Step-by-step explanation:

3. Điền tiếp vào dãy số:
a. 0; 1; 4 ;9 ;16 ;25 ;36 ;49 ; …
b. 1; 1; 3; 15; 105; …
c. 0; 100; 6; 94; 12; 88; 18; 82; …….; ……
d. 72496 đối với 1315 62134 đối với 97
85316 đối với 167 28439 đối với ……

Answers

Answer:

D hope this kinda helped:)

Step-by-step explanation:

the sum of the 13th square number and the 4th cube number?

Answers

Answer:

13th square number+4th cube number=233

Step-by-step explanation:

[tex]13^{2} +4^{3}[/tex]=233

The value of the sum of the 13th square number and the 4th cube number will be 223.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,

⇒ (13)² + (4)²

Simplify the numerical expression, then we have

⇒ (13)² + (4)³

⇒ 169 + 64

⇒ 223

The value of the sum of the 13th square number and the 4th cube number will be 223.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ2

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