Answer:
64/27
Step-by-step explanation:
(4/3)^3=(4/3)*(4/3)*(4/3)=64/27
First, multiply the 7 on both sides.


Finally divide by -1 on both sides to get t = -7/15 as your answer.
Answer:32,768
2*4=8*4=32*4=128
So we have to multiply by 4
128*4=512 5th term
512*4=2048 6th term
2048*4=8192 7th term
8192*4=32768 last term
Answer:
360,360 groups of 5 people.
Step-by-step explanation:
We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.
We will use fundamental principle of counting to solve our given problem.
There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.
Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.
There are 11 people to answer 5th call.
So 5 lines can be answered in
ways.
Therefore, 360,360 groups of 5 people can answer these lines.
Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3
y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5
So the numbers are 3; 4 and 5.
You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
The answer has been approved.
Hope this Helps! :)