James recently hired a plumber to do some necessary work. on the final bill, james was charged a total of $1660. $460 was listed for parts and the rest for labor. if the hourly rate for labor was $80, how many hours of labor was needed to complete the job? (a) first write an equation you can use to answer this question. use  x  as your variable.

15 hours of labor was needed to complete the job.

Step-by-step explanation:

James was charged a total of $1660.

Let x be the number of hours the plumber worked.

Cost of the parts = $460

Hourly rate of labor = $80

We can compile all this information in an equation form as:

Now solving for x;

=>

So, x = 15

Hence, 15 hours of labor was needed to complete the job.

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.

ok

step-by-step explanation: