Yolanda is doing a party for her daughter. She wants to spend no more than $500. She has spent $130 on the venue and Will spend $18 per person for food. Write an inequality to help her determine how many people she can invite

Step-by-step explanation:

Let x represent the number if people that she can invite.

Yolanda is doing a party for her daughter. She has spent $130 on the venue and Will spend $18 per person for food. This means that the total amount that she would spend if she invites x persons is

130 + 18x

She wants to spend no more than $500. Therefore, inequality to help her determine how many people she can invite would be

130 + 18x ≤ 500

the perimeter is increased by a factor of 2

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.