Answer:
27 girls and 15 boys
Step-by-step explanation:
To solve this, I just used guess and check.
9:5 is a ratio, which means we can multiply each side by any number as long as we do it to both sides.
If we multiply the ratio by 3, we get (9 x 3) : (5 x 3) which is 27:15
And as it turns out, 27-15 is 12, which in this context means there are 12 more girls in drama club, so it works out.
We are to show that if X ⊆ Y then (X ∪ Z) ⊆ (Y ∪ Z) for sets X, Y, Z.
Assume that a is a representative element of X, that is, a ∈ X. By the definition of union, a ∈ X ∪ Z. Now because X ⊆ Y and we assumed a ∈ X, then a ∈ Y by the definition of subset. And because a ∈ Y, then a ∈ Y ∪ Z by definition of union.
We chose our representative element, a, and showed that a ∈ X ∪ Y implies that a ∈ Y ∪ Z and this completes the proof.
Answer:
y=15
Step-by-step explanation:
first, add 6 to each side. the equation is now 3y=45
simply divide 45 by 3 to get
y=15
Answer:
f(0) =4
f(6) =8
Step-by-step explanation:
f(0) = ?
We know 0 is less than 5 so we use the first part of the step function
f(0) = 0+4
= 4
f(6) = ?
6 is between 5 and 7 so we use the second part of the step function
f(6) =8
Mix=whole+fration
9*3=27 so 27/9=3
so
28/9=27/9+1/9=3+1/9=3 and 1/9
