Answer:

Step-by-step explanation:
Given:
Consecutive Terms: k-5, k+7, k+55
Required:
Determine the value of k
To do this, we make use of the concept of common ratio.
The common ratio (r) of a geometric sequence is:

In other words:

Where 1, 2 and 3 represents the terms of the progression/sequence
So:
becomes

Cross Multiply:

Open Brackets


Collect Like Terms


Solve for k


Answer:
63.6%
Step-by-step explanation:
Total number of people that took the test = 110
People who took less than 40 seconds to complete the task = 30 + 40
= 70
The percentage of the people that took less than 40 seconds to complete the task can be determined as follows:
=
x 1100%
=
x 100%
= 0.6364 x 100%
= 63.6%
The percentage of the people that took less than 40 seconds to complete the task is 63.6%.
3(6-7x)=-(x+2)
Use distributive property
18-21x = -x -2
Add x on both sides
18-20x = -2
Subtract 18 from both sodes
-20x= -20
Divide
Final Answer: x=1
Answer:
96
Step-by-step explanation:
you have to set up a proportion
64/100 equals to x/150
then you would do 150 times 64 then divided it by 100 to get the answer of 96