Lets use x as the number of CD's that she will buy in a month. So knowing that, our inequality can look like this. 7 + 10x < or = 100. Why? because we will have to multiply 10 with the number of CDs she will purchase in a month to get the total she spends. Hence 10 times x. She also has to add a 7 membership fee per month to this. Also, she has to remember that what she paid has to be less or equal to 100 because the problem states that she spends no more than 100 a month.

6 0

3 years ago

An NFL coach sometimes uses a defense that utilizes 3 defensive linemen, 4 linebackers, and 4 defensive backs. His roster (the p

Alexandra [31]

Answer:

68,600

Step-by-step explanation:

The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Defensive Lineman:

3 from a set of 8. So

$C_{8,3} = \frac{8!}{3!5!} = 56$

56 combinations of defensive lineman

Linebackers:

4 from a set of 7. So

$C_{7,4} = \frac{7!}{4!3!} = 35$

35 combinations of linebackers

Defensive backs:

4 from a set of 7. So

$C_{7,4} = \frac{7!}{4!3!} = 35$

35 combinations of defensive backs

How many different ways can the coach pick the 11 players to implement this particular defense?

56*35*35 = 68,600

68,600 different ways can the coach pick the 11 players to implement this particular defense

7 0

3 years ago

Please help me on this moby max question

pantera1 [17]

The answer would be 49 + 42b if you multiply 7*7 and 7*6b

7 0

3 years ago