Answer:
infinite
Step-by-step explanation:
1/6 of 12 is 2
1/6 of 18 is 3
Plug them in
2z-3=2z-3
meaning you can put literally any number in place of z and it'd work.
2*2*2*2*3, it's all the prime numbers that make 48 when multiplied together
ANSWER
The solution is

EXPLANATION
The given equations are:

and

We multiply equation 1 by 3 to get,

We multiply equation 2 also by 2 to get,

We subtract equation 4 from equation 3 to get,

This implies that,

We put this value of y into any of the equations say equation 2

Simplify

Group like terms

Simplify,

Divide both sides by 3 to get,

Therefore the solution is

The correct answer is option D.
Answer:
A) The best way to picture this problem is with a probability tree, with two steps.
The first branch, the person can choose red or blue, being 2 out of five (2/5) the chances of picking a red marble and 3 out of 5 of picking a blue one.
The probabilities of the second pick depends on the first pick, because it only can choose of what it is left in the urn.
If the first pick was red marble, the probabilities of picking a red marble are 1 out of 4 (what is left of red marble out of the total marble left int the urn) and 3 out of 4 for the blue marble.
If the first pick was the blue marble, there is 2/4 of chances of picking red and 2/4 of picking blue.
B) So a person can have a red marble and a blue marble in two ways:
1) Picking the red first and the blue last
2) Picking the blue first and the red last
C) P(R&B) = 3/5 = 60%
Step-by-step explanation:
C) P(R&B) = P(RB) + P(BR) = (2/5)*(3/4) + (3/5)*(2/4) = 3/10 + 3/10 = 3/5
Answer:

Step-by-step explanation:
Given the equation

Use distributive property:

Use commutative property to rewrite the equation:


Add 10 th both sides:

Subtract 

Divide by 13:
