In a 3-hr examination of 320 questions, there are 40 mathematics problems. if twice as much time should be allowed for each mathematics problems as for each of the other questions, how many minutes should be spent on mathematics problems?

1 minute should be spent on each math problem

Step-by-step explanation:

Total questions = 320  

Mathematics problems = 40

Non-mathematics problem = 320 - 40 = 280

Twice the amount of time is needed for mathematics problem.

40 x 2x + 280 x = 3 hours

80x + 280x = 3 hours

360x = 180 mins

x = 0.5 mins

2x = 0.5 x 2  = 1 min

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.

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.