Answer:
e
Step-by-step explanation:
Answer:
x=32
Step-by-step explanation:
Plug 10 into the second equation
10=1/2x-6
16=1/2x
16*2=x
x=32
Answer:
If we arrange the talks from the lowest starting time to the highest ending time we get total of 11 talks.
using algorithm 7 we get answer (1) - (3) - (6) - (9) the largest number of talks scheduled.
Step-by-step explanation:
arranging the talks from lowest starting time to the highest ending time.
thus,
- 9:00 a.m. and 9:45 a.m.
- 9:30 a.m. and 10:00 a.m.
- 9:50 a.m. and 10:15 a.m.
- 10:00 a.m. and 10:30 a.m.
- 10:10 a.m. and 10:25 a.m.
- 10:30 a.m. and 10:55 a.m.
- 10:15 a.m. and 10:45 a.m.
- 10:30 a.m. and 11:00 a.m.
- 10:45 a.m. and 11:30 a.m.
- 10:55 a.m. and 11:25 a.m.
- 11:00 a.m. and 11:15 a.m.
we start from the earliest time as
9:00 a.m. and 9:45 a.m which is (1).
After the talk is finished we pick the nearest time for another talk which starts at
9:50 a.m. and 10:15 a.m which is (3).
After this talk we again pick the nearest time for another talk which becomes
10:30 a.m. and 10:55 a.m which is (6).
and lastly
10:45 a.m. and 11:30 a.m which is (9).
Note: we didn't choose other times because we cannot talk at 2 or 3 places at the same time. so we pick another when one talk is finished.
thus the answer is (1) - (3) - (6) - (9) as the largest number of talks scheduled.
The equation is y= -2x + 1
Answer:
16 students
Step-by-step explanation:
144 students enter a spelling bee contest.
Step 1
For the semi final round we are told that only 1/6 of the group will make it into that round.
This is calculated as
1/6 × 144/students = 24 students.
This means that only 24 students would make it into the semi final rounds.
Step 2
We are also told in the question that only 2/3 of THAT group would make it into the final round.
" THAT" group been referred to in the question means the number students that made it to the semi final round
This is calculated as
2/3 of that group( the group that made it to the semi finals)
= 2/3 × 24 students
= 16 students.
Therefore, the number of students that will enter the final round of the spelling bee is 16 students.