A group of workers took 123.6 hours to complete a job. A smaller group of workers
will complete the same job, but it will take
them 1.15 times as long as it took the first
group. How long did it take the smaller group
to complete the job?

137.814 hours

Step-by-step explanation:

We simply need to multiply the time by the multiplier given in order to find the time it took for the smaller group

123.6 hours is the time and 1.15 is the multiplier

123.6x1.115=137.814 hours

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.