one is 14 the other is 24
14+24 =38,
24 is 10 more than 14.
Answer:
A) Tammy: 10x + 5y > 200
Keith: 12x + 3y > 180
B) A possible combination is x = 16 and y = 4
Step-by-step explanation:
x: number of lawns they each mow
y: number of yards they each rake
A) Tammy earns $10 for each lawn she mows and $5 for each yard she rakes, then the total money she earns is computed by:
10x + 5y
She wants to earn more than $200, so her inequality is:
10x + 5y > 200
Keith earns $12 for each lawn he mows and $3 for each yard he rakes. He wants to earn more than $180. Then, his inequality is:
12x + 3y > 180
B) Keith had met his goal but Tammy did not meet her goal, then:
12x + 3y > 180
10x + 5y < 200
Let's suppose x = 16:
12(16) + 3y > 180
y > (180 - 192)/3
y > -4
10(16) + 5y < 200
y < (200 - 160)/5
y < 8
Then, a possible combination is x = 16 and y = 4
Solve the equations
if it looks like this
(Example)
7 = 8 it has no solutions
7=8 its is all real solutions
x=8 its one real solution
Number of sets = (52 x 51 x 50 x 49) / (1 x 2 x 3 x 4) = 270725
Answer: There are 270725 possible 4-cards set.
The formula for the number of divisors (d) is
d = (m+1)(n+1)
where this number includes the values 1 and p^m*q^n
_____
This can be generalized to more or fewer prime factors. Add 1 to each of the exponents and form the product of those values.
