David and Almudena have between the two 225 euros. Calculate how much money each has if Almudena has 75 euros more than David.
For this case we propose a system of equations:
x: Let the variable that represents Almudena's amount of money
y: Let the variable that represents David's amount of money
According to the statement we have:
Substituting the second equation into the first:
We find the value of the variable x:
Almudena has 150 euros
David has 75 euros
Answer:
Almudena has 150 euros
David has 75 euros
The rate in words per minute would be 3 because 18/6 is equal to 3
It is ten times bigger than the other
Answer:
A) The first 4 terms of the sequences are: 
, 
, 
and 
.
B) An explicit formula for this sequence can be written as: 
C) A recursive formula for this sequence can be written as:
Step-by-step explanation:
A) You can find the firs terms of this sequence simply selecting an odd integer and summing the consecutive 3 ones:
(a.1)
B) Observe the sequence of odd numbers 1, 3, 5, 7, 9, 11, 13(...).
You can express this sequence as:
(b.1)
If you merge the expression b.1 in a.1, you obtain the explicit formula of the sequence:
(a.1)
(b.2)
(b.3)
(b.s)
C) The recursive formula has to be written considering an initial term and an N term linked with the previous term. You can see an addition of 8 between a term and the next one. So you can express each term as an addition of 8 with the previous one. Therefore, if the first term is 16:
(c.s)
Answer:
2ap + aq - bq -2bp = (a - b)(2p + q)
Step-by-step explanation:
(2ap + aq) - (bq -2bp)
a(2p +q) -b(q + 2p) [ taking a common from the first, and b from the second]
(2p + q) [a - b] [takin (2p + q)]
(2p + q)(a - b)
