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liberstina [14]
2 years ago
9

Help please!! I’m stuck with these questions. :)

Mathematics
1 answer:
ladessa [460]2 years ago
8 0

Answer:

20 elements.

Step-by-step explanation:

Lets say

n(U) = 114

n(A) = 57

n(B) = 79

n(A n B)= 42

Now,

n(A U B) = n(A) + n(B) - n(A n B)

= 57 + 79 - 42

= 94

Now,

n(A U B) compliment = n(U) - n(A U B)

= 114 - 94

= 20

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Plz help me out with this ;)
garri49 [273]
I have the same problem with you
6 0
3 years ago
Farrah's annual salary is £27,750. how much does she get paid per week?
VashaNatasha [74]
Hello human

Answer:

532.19 per week

Explanation:

You divide 27750 by 52.143 Because there are 52.143 weeks per year.


Thank you and gn ❤️✌
7 0
3 years ago
Solve the linear system by graphing y=x y= 4x -9
Levart [38]

y=x or x=y is very easy to graph.

Choose whatever value of x and use the same for y in the same coordinate. Repeat and strike a line through all the points.

Some examples of valid points would be: (1,1), (2,2), (0,0) and (-1,-1).

Then, to graph y=4x-9 you have to look at it in terms of the equation of a line (y=mx+c) and its parts.

In this case, m=4 and c=-9.

So, you choose any value for x and you solve to find its y counterpart.

I will start with x=0:

x=0\\\\y=4(0)-9\\y=0-9\\y=-9

Now, we have a first coordinate: (0,-9).

Repeat with a different value:

x=5\\\\y=4(5)-9\\y=20-9\\y=11

It gives us the coordinates (5,11).

Plot those into the graph and strike a line through them.

Wherever the two lines in your Cartesian Plane cross, that is the solution for both equations. It should be 3.

You can check it by replacing x and y by "3" in both formulas and equating the values of y:

y=x\\y=4x-9\\\\x=4x-9\\(3)=4(3)-9\\3=12-9\\3=3

Your solution is worked out and checked to be correct.

PS: I am attaching a picture of the graph, so you can have a visual idea of what it should look like.

3 0
3 years ago
Read 2 more answers
You are given a rectangular sheet of cardboard that measures 11 in. by 8.5 in. (see the diagram below). A small square of the sa
Stells [14]

We can solve for the value of x using the formula:

V = l w h

where,

h = x the size of the cut since it would form the walls of the rectangle

<span>w = 8.5 – 2x        = it is subtracted by 2x since two sides will be cut</span>

l = 11 – 2x

Substituting:

V = x (8.5 − 2x) (11 − 2x)

Expanding the expression:

V = 93.5 x – 39 x^2 + 4 x^3

To solve the maxima, we have to get the 1st derivative dV / dx then equate to 0. dV / dx = 0:

dV / dx = 93.5 – 78 x + 12 x^2

0 = 93.5 – 78 x + 12 x^2

We get:

x ≈ 1.585 in          and        x ≈ 4.915 in

Therefore Anya’s suggestion of 1.5 inches would create the larger volume since it is nearer to 1.585 inches.

There can be different volumes since volume refers to the amount of space inside the rectangle. They can only have similar perimeter and surface area, but not volume.

 It is restricted to <span>0 in. < x < 4.25 in. because our w is 8.5 – 2x. Going beyond that value will give negative dimensions.</span>

7 0
3 years ago
The length of a rectangle is 5 inches less than twice its width. The perimeter of the rectangle is 60 inches. Which system of eq
nikdorinn [45]

Answer:

Step-by-step explanation:

L=2W-5 and P=2(L+W) is the system

Substituting L=2W-5 into P=2(L+W) gives you

2(2W-5+W)=P=60

2(3W-5)=60

3W-5=30

3W=35

W=35/3, L=2W-5

L=55/3

6 0
3 years ago
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