Question

I need the answer to these math questions.

1) Multiply 8 minutes 31 seconds by 17.

Answer 1

2 h 16 min 23 sec

Explanation:

Hello

the time is expressed in the sexadecimal system, which uses the number 60 as an arithmetic base,hence

1 min=60 sec

1 hora =60 min

Now, we have

`(8 min + 31 sec)*17=136 min +527 sec\\\\\\we\ need\ to\ convert\ this\ in\ our\ base\ 60\, using\ a\ rule\ o\ three\\\\ 60 min=1\ hour\\136 min=x ?\\\\x=( 136 h)/(60)\\ x=2.26 hours\\\\`

we take the whole part as an hour, and the decimal part is multiplied by 60 to get minutes

Step 1

`8min*17=136 min =2.26 h\\\\2.26h = 2\ h + 0.26h((60 min)/(1 h)) \\2.26h =2h+15.6 min\\\\`

we repeat the procedure to leave the minutes as a whole part

`2.26\ h =2\ h+15\ min + 0.6\ min*((60 \sec)/(1 m) )\\2.26\ h =2\ h\ 15\ min\ 36\ sec`

Step 2

`\\527\s*((1 min)/( 60\ sec))=8.78\ min\\ \\8.78\ min= 8\min\0.78\ min\\8.78\ min=8\ min\ 0.78\min((60\ seg)/(min))\\8.78\min=8\ min \ 47\ sec\\\\now, add\\\\8 min *17 =2\ h\ 15\ min\ 36\ sec\\31 sec *17 =8\ min \ 47\ sec\\(8\ min\ 31\ sec)*17=2\ h\ 15\ min\ 83\ sec\\83 s((1 min)/(60 sec))=1.38 min\\1.38\ min\ =1\ min\ 0.38\ min*((60 sec)/(1\ min))\\1.38\ min=1\min\ 23 s.\\( 8min 31 sec)*17=2 h 16 min 23 sec`

Have a great day