Answer:

Step-by-step explanation:
Given
Total = 900
Singing = 600
Dancing = 500
None = 125
Required
Determine the number of students that participate in both
Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;
In Set Notation;

Substitute 900 for Total, 600 for S, 500 for D and 125 for N

Open Brackets

Collect Like Terms



Collect Like Terms


Multiply both sides by -1


Reorder

<em>Hence, the number of students that do not participate in both is 325</em>
Answer:
d= (-11-2)^2 + (-12--12)^2
d= (-13)^2 + (0)^2
d=169
square root the 169
answer is 13
that's the distance from (2, -12) (-11, -12)
hope that helps
Step-by-step explanation:
<u>Answer:</u>
- $2,800 = Principle + Interest
<u>Step-by-step explanation:</u>
Using PRT/100, let's find the interest.
- => 2,000 x 8 x 5/100
- => 20 x 8 x 5
- => $800
<u>Conclusion: </u>
Therefore, the interest plus principle is 2,000 + 800, which is $2,800.
Hoped this helped.

Answer:
The volume of the cone is 16.8 in cubed.
Step-by-step explanation:
The formula for a cone is πr^2 multiplied by h/3. The r is radius and h is height. So throwing in the values for the variables we get 16.8 in cubed.