Answer:
1.) 6
2.) 6
3.) 0
4.) 0
5.) 0
Step-by-step explanation:
In mathematics, divisible means that when a number is divided by another number, the result is a whole number.
It is 9/16 because 2 1/4 equals 9/4 and 9/4x1/4 equals 9/16
Answer:
1 - 1/10
Step-by-step explanation:
As strange as it may seem, the easiest way to answer this question is to calculate the probability of selecting an elephant first and then to subtract this probability from 1:
Adding up the Numbers of animals, we get 12+4+3+11, or 30. The probability of selecting an elephant is thus 3/30, or 1/10.
Thus, the probability of NOT selecting an elephant is 1 - 1/10 (Answer A).
Answer:
See below
Step-by-step explanation:
Let P(x) be a predicate over the variable x. Rules from logic tell us that the negation of ∀xP(x) is ∃x(¬P(x)). That is, the negation operator ¬ satisfies ¬(∀xP(x))≡∃x(¬P(x)). Similarly, ¬(∃xP(x))≡∀x(¬P(x)).
Apply these rules to each statement to obtain:
a) ∃ a fish x, x does not have gills.
b) ∃ a computer c, c does not have a CPU.
c) ∀ movie m, m is not over 6 hours long. ⇔ ∀ movie m, m is under 6 hours long.
d) ∀ band b, b has not won at least 10 Grammy awards. ⇔ ∀ band b, b has won less than 9 Grammy awards.
Apply the elimination method to the 2y terms since they are opposites & therefore can eliminate. Combine the rest of the terms, vertically.
x-2y= -7
4x+2y= 22
5x = 15
Divide both sides by 5.
x=3
Plug the x value to one of the original equations and solve for y.
4x + 2y = 22
4(3) + 2y = 22
12 + 2y = 22
Subtract by 12 on both sides.
2y = 10
Divide by 2 on both sides.
y = 5
Therefore, the solution to the system of equations shown is:
x=3 y=5
or
as an ordered pair (3, 5).
