Carrie is planning her birthday party at a restaurant. She cannot spend more than $75 on the party. The cost per person for the meal is $12. There is also a $10 charge for the room. The number of friends, f, that Carrie can invite is represented by the inequality 12f + 10 < 75. How many friends can Carrie invite to the party if her budget is $75 or less?

Carrie can only bring 4 people.

Step-by-step explanation:

75-10= 65

65-12= 53

12 * 4 =48

anything above that is more than her budget.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation: