The gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyballs cost $7 each. Ho
1 answer:
Answer:
The maximum number of volleyballs that she can buy is 19
Step-by-step explanation:
Let
x ----> the number of volleyballs
we know that
The cost of each volleyball net ($28) by the number of volleyball nets (4) plus the cost of each volleyball ($7) multiplied by the number of volleyballs (x) must be less than or equal to $250
so
The inequality that represent this situation is
Solve for x
subtract 112 both sides
Divide by 7 both sides
therefore
The maximum number of volleyballs that she can buy is 19
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Answer:
140 weeks.
Step-by-step explanation:
We are being asked for the maximum number that can elapse without having 2 subcommitees with the same members and the same chair. Notice that the secretary is not mentioned in this statement, so we can ignore that position.
Now, the maximum number of weeks would be equal to the total possible combinations of subcommitees that can be formed from the 7 individuals commiteed, times the number of options that can sit at the chair possition.
The total possible combinations of subcommitees that can be formed from the 7 individuals can be expressed like the following expression. Notice that there is no a particular order to be considered, so we use the combination formula:
=
= 35
Now, each of the 4 individuals have the same probability of being chosen as the chair commitee. So, we have to multiply 4 times the number of possible subcommitees in order to arrive our answer:
x = 35 * 4 = 140
This would be the maximum number of subcommitees that can be formed with no subcommitees with the same members and the same chair occurring.