If you're not sure, begin by looking for any divisor that will divide into 24a^3c and 3a without leaving a remainder. Note that 3 is such a number, and a is another.
Factoring out 3a from 24a^3*c and 3a, we get 3a{8a^2*c, 1}
So the GCF is 3a.
Answer:
Kate's electric bill will be $9 for this month for bulb use only.
Step-by-step explanation:
Given:
Electricity bill lass month from bulb use = $12
Using new bulbs percent decrease in electricity = 25%
We need to find this month electric bill for bulb use.
Solution:
First we will find the reduction in bill after using new bulbs.
reduction in bill after using new bulbs can be calculated by percent decrease in electricity using new bulb multiplied by last month Electricity bill from bulb use only.
framing in equation form we get;
reduction in bill after using new bulbs = 
Now we will find this month electric bill for bulb use only.
this month electric bill for bulb use only can be calculated by subtracting reduction in bill after using new bulbs from last month electric bill for bulb use only.
framing in equation form we get;
this month electric bill for bulb use only = 
Hence Kate's electric bill will be $9 for this month for bulb use only.
Answer:
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Step-by-step explanation:
Let
x -----> the number of minutes
y ----> the total words typed
we know that
<em>Kameryn</em>
-----> equation A
<em>Joe</em>
-----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B and solve for x




That means
For x=34 minutes
The amount of words written by Kameryn and Joe are the same.
therefore
For x > 34 minutes
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
<h3>

</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(9,-8) and (-7,-5)
The distance between them is

We have the final answer as

Hope this helps you