Answer:
Hey buddy, here is your answer. Hope it helps you.
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.
Answer:
Step-by-step explanation:
Let be , this expression is simplified as follows:
1) Given
2) Definition of power
3) Definition of n-th root//
4) /
5) Multiplication/Definition of power
6) Distributive property/
7) /Definition of n-th root
8) Definition of power/Result
Answer:
C
Step-by-step explanation:
to have a common difference of -8.5, the sequence has to consistently go down by 8.5.
in the first one, y would go up by 2 every time x goes up by 1, so its not that one.
in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.
in the third one, each time it goes down by 8.5 so this is the answer.
the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.
Answer:
y = -2, y = -5, x = 20, x = -12
Step-by-step explanation:
When dealing with unknown y values, rearrange the equation so that y is isolated:
y + 5 = x/4 >>> subtract 5 from both sides >>> y = x/4 - 5
Now, substitute in your values for y in the table:
12/4 - 5 = -2
0/4 - 5 = -5
Now, to deal with unknown y values, rearrange so that y is instead isolated:
y + 5 = x/4 >>> multiply both sides by 4 >>> 4y + 20 = x
Substitute!
4(0) + 20 = 20
4(-8) + 20 = -12
-3
Step-by-step explanation: