Answer:
26/52 or 1/2
Step-by-step explanation:
There are 1-9, King, Queen, Jack, for both Diamonds and Hearts
Answer:
D. xy.
Step-by-step explanation:
The GCF of x and x^2 is x and GCF of y and y^2 is y.
Answer is xy.
Let a, b, and c be the times each pump will fill the tank when working alone.
Therefore, in 1 hour;
1/a +1/b = 1/(6/5) = 5/6 ---- (1)
1/a+1/c = 1/(3/2) = 2/3 ---- (2)
1/b+1/c = 1/(2) = 1/2 ---- (3)
From equation (1)
1/a = 5/6-1/b
Substituting for 1/a in eqn (2)
5/6-1/b+1/c = 2/3
-1/b +1/c = -1/6 => 1/c = 1/b - 1/6 --- (4)
Using eqn (4) in eqn (3)
1/b+1/b-1/6 = 1/2
2/b-1/6 = 1/2
2/b =1/2+1/6 = 2/3
1/b = 1/3
Then,
1/c = 1/3 - 1/6 = 1/6
1/a = 5/6 - 1/3 = 1/2
This means, in 1 hour and with all the pumps working together, the tank will be filled to;
1/a+1/b+1/c = 1/2+1/3+1/6 = 1 (filled fully).
Therefore, it will take 1 hour to fill the tank when all pumps are working together.
Answer:
a. 
b. 
c.
or 
d.
or 
e. 
Step-by-step explanation:

Expand

Open brackets


Collect Like Terms


Express 25 as 9 + 16

Factorize:





Expand


Open Brackets

Collect Like Terms


Factorize

Expand the expression in bracket

Factorize:




Factorize


The answer can be in this form of further expanded as follows:

Apply difference of two squares


Express
as 

Expand



The answer can be in this form of further expanded as follows:

Apply difference of two squares


Represent as squares

Apply difference of two squares

Represent as squares

Apply difference of two squares
