Answer:
Option B.
Step-by-step explanation:
It is given that
A = {The Rationals}
B = {The Irrationals}
We need to find the set A∪B.
If we have two sets X and Y then union of these sets (X∪Y) contains all the elements of set X, of set Y or both.
It is given that A is the set of rations and B is the set of irrational, so the union A∪B is the combined set of all rational or irrational numbers.
A∪B = {The Rationals} + {The Irrationals}
A∪B = {The Reals}
Therefore, the correct option is B.
Let's create expressions and equations to model this situation. Let Anthony's age be a.
"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18
How old is Jim?
Let's solve the above equation for a to first find Anthony's age.
3a - a = 18
2a = 18
a = 9
Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.
3a
3(9)
27
Answer:
Jim is 27 years old.
Step-by-step explanation:
$20/hr carpenter pay
$25/hr blacksmith pay
Let c = hours working carpentry
Let b = hours working as blacksmith
c + b = 30 {equation 1}
20c + 25b = 690 {equation 2}
In equation 1 solve for one variable in terms of the other.
c = 30-b
Substitute that into equation 2:
20(30-b) + 25b = 690
600 - 20b + 25b = 690
5b = 90
b = 90/5
b = 18 hours working as a blacksmith
c = 30-b = 30-18 = 12 hours as a carpenter
Answer:
1. P(P) = 8/20 = 0.4
2. P(G) = 12/20 = 0.6
Step-by-step explanation:
Given;
Number of green marbles G = 12
Number of purple marbles P = 8
Total T = 12+8 = 20
The probability that you choose a purple marble P(P) is;
P(P) = number of purple marbles/total number of marbles
P(P) = P/T = 8/20 = 0.4
P(P) = 0.4
The probability that you choose a Green marble P(G) is;
P(G) = number of Green marbles/total number of marbles
P(G) = G/T = 12/20 = 0.6
P(G) = 0.6
Answer:
What can I do for you
Step-by-step explanation:
