If there are 14 pens for every 3 pencils in a desk drawer, how many pencils would you expect if there were 100 pens? Round your answer to the nearest whole number. a. 30 b. 42 c. 21 d. 7

C. 21

Step-by-step explanation:

Step 1: Set up an equation

Step 2: Cross-multiply.

Step 3: Divide both sides by 14 and round to nearest whole number.

Therefore, the answer is C. 21.

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.