Answer:
Step-by-step explanation:
U= {A,B,C,D,E,F,G}
X = {A, B, C, D}
Y = {A, C, E, F}
a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}
B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}
c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}
The answer is H 3
Answ5184
Answer: Mark has 28 marbles while Don has 85 marbles.
Let x represent the number of marbles that Mark has.
Let y represent the number of marbles that Don has.
If Don has 1 more than 3 times the number of marbles Mark has, it means that
y = 3x + 1
The total number of marbles is 113. It means that
x + y = 113- - - - - - - - - - - - 1
Substituting y = 3x + 1 into equation 1, it becomes
x + 3x + 1 = 113
4x + 1 = 113
4x = 113 - 1 = 112
x = 112/4
x = 28
y = 3x + 1 = 3 × 28 + 1
y = 85
1) 32
2) 3
3) 135
to know: when multiplying terms with same base and exponents, multiply the bases and add the exponents
to know: when dividing terms with same base and exponents, divide the bases and subtract the exponents
to know: whenever exponents are contained within a set of parentheses and separated by another set of parentheses, multiply the exponents
1) (· · ) ÷ 2³ = 3
2) (15· 25j²) ÷ 5³j³k³ = (375) ÷ 125j³k³ = 3
3) (5 · 3³) = 135