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>
There are four different choices. Now we have to find which choice best expresses the inequality 1.25x-6.50>50
1.25x has positive sign so any statement that indicates earning like sells at the rate of 1.25 will match with expression 1.25x.
Now -6.50 has negative sign that means this quantity must be subtracted or represents loss of any kind.
Keeping above sign in mind and reading the given statementns, we see that only choice "a" first the given inequality.
Hence final answer is a).
Answer: 225 students would have at least one sibling.
Step-by-step explanation:
Three out of four is the same as 3/4 meaning that if there are 300 students in your school then 3/4 times 300 will give the number of students with at least one sibling.
3/4 * 300 = 225
This means 225 students would have at least one sibling.
Answer:
B
Step-by-step explanation:
Answer:
x = 33
Step-by-step explanation:
Two angles are complementary as the sum of two angles is 90
x + 24 + x = 90 {Combine like terms}
2x + 24 = 90 {Subtract 24 from both sides}
2x = 90 - 24
2x = 66
x = 66/2
x = 33