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Xelga [282]
3 years ago
10

7. If P = [5,6,7,8). Q = (2,4,6,8) andR=2, 3, 7, 9), then P nQnR=​

Mathematics
2 answers:
Setler [38]3 years ago
7 0

Answer:

pnQnR= {}

Step-by-step explanation:

there is no number common in set P, set Q and set R.

So the answer is null

{}

valentina_108 [34]3 years ago
3 0

Answer:

{} there is no number common to the three sets so it is an empty set

Step-by-step explanation:

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Circle O has a circumference of 36π cm.
ehidna [41]

Answer:

r = 18 cm

Step-by-step explanation:

The formula for the circumference of a circle is 2πr.

Hence,

2πr = 36π

r = 18 cm

3 0
2 years ago
The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. F
Gemiola [76]

Answer:

1 and 0

Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

5y+2x=5

4y-x=4

Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

x=4y-4

Then substitute for x in the other equation and solve for y.

5y+2x=5

5y+2(4y-4)=5

5y+8y-8=5

13y=13

y=1

Now we can go back to our equation for x and substitute for y.

x=4y-4

x=4(1)-4=0

y, the larger number, is 1 and

x, the smaller number, is 0

Method 2: Elimination

5y+2x=5

4y-x=4

Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

4y-x=4

becomes

8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

13y=13

y=1

like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

2x=0

x=0

y, the larger number, is 1 and

x, the smaller number, is 0

6 0
3 years ago
The length of a rectangle is six times its width. If the area of the rectangle is 486 in 2 , find its perimeter.
seraphim [82]

w - width

6w - length

486 in² - area of the rectangle

(w)(6w) = 6w² - area of the rectangle

The equation:

6w² = 486     <em>divide both sides by 6</em>

w² = 81 → w = √81

w = 9 in

l = 6w → l = (6)(9) → l = 54 in

The perimeter: P = 2l + 2w

P = 2(54) + 2(9) = 108 + 18 = 126 in

<h3>Answer: The perimeter is 126in</h3>
5 0
3 years ago
John's test grades are 69, 86, 100, and 105. What is his average?
Lunna [17]
The answer is 90. you add them all up and divide it by 4
8 0
3 years ago
Read 2 more answers
=<br> Drag up the correct symbol to make each statement true.
Dvinal [7]

Answer:

1. >

2.>

3.<

4. <

Step-by-step explanation:

I am doing it from top to bottom

I hope this helps! :)

4 0
3 years ago
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