A Building code allows a maximum of 140 people in a meeting room. There is one large table in the room along with some small tables. when filled, the large tables seats 15 people, and the small tables each seat 5 people. Which of the following can be used to find t, the greatest number of small tables that can be filled when the large table is also filled?​

T= 25

Step-by-step explanation:

140-15=125

After that divide 125 by 5.

You get 25.

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step-by-step explanation:

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, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for