45 = 3×3×5
54 = 2×3×3×3
Two number : 3,3
So, the GCD of 45,54 is 3×3= 9
Answer:
Definition: Two sets are equal if they contain the
same elements. I.e., sets A and B are equal if
∀x[x ∈ A ↔ x ∈ B].
Notation: A = B.
Recall: Sets are unordered and we do not distinguish
between repeated elements. So:
{1, 1, 1} = {1}, and {a, b, c} = {b, a, c}.
Definition: A set A is a subset of set B, denoted
A ⊆ B, if every element x of A is also an element of B.
That is, A ⊆ B if ∀x(x ∈ A → x ∈ B).
Example: Z ⊆ R.
{1, 2} ⊆ {1, 2, 3, 4}
Notation: If set A is not a subset of B, we write A 6⊆ B.
Example: {1, 2} 6⊆ {1, 3}
one way to do this is to convert each fraction to same denominator ( the LCD)
Well we can eliminate -3/5 because its negative so 4/7 is definitely > -3/5.
4/7 = 16/28 and 3/4 = 21/28
so 4/7 < 3/4
Therfore 4/7 does lie between the 2 fractions
Use my photo to see the work and answers! Hope this helped :)
The new mixture has a total volume of 5 L + 9 L = 14 L.
70% of the 5 L alcohol solution is alcohol, so that it contributed 3.5 L of alcohol to the mixture. The pure water contributed no alcohol. So in the mixture, the concentration of alcohol is
3.5 L / 14 L = 0.25, or 25%
