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:
The simplified expression for the given expression will be:
c.
Step-by-step explanation:
Given expression:
To simplify the expression.
Solution:
In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.
<em>This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.</em>
So, we have:
⇒
Combining like terms
⇒
<em>The like terms can be evaluated as</em>
Thus, the simplified expression will be:
⇒