Answer:

Step-by-step explanation:
Given
<em>-- Corrected</em>
Required
Use the GCF to write it as a distributive property
First, we find the GCF of 75 and 45


The common factor is:


So,
becomes

Factorize

<em>Hence, the sum has been rewritten as </em>
<em></em>
Answer:
New mean=71.32
Step-by-step explanation:
The expression for the total initial score is;
T=M×S
where;
T=total initial score
M=mean score
S=number in the set
replacing;
T=unknown
M=72
S=17
replacing;
T=72×17=1,224
The total initial score=1,224
Determine the total score by;
total score=total initial score+total final score
where;
total initial score=1,224
total final score=(68+63)=131
replacing;
total score=1,224+131=1,355
Determine the new mean;
New mean=total score/new number
where;
total score=1,355
new number=(17+2)=19
replacing;
new mean=1,355/19=71.32
Given: Points (-9, 6) and (-3, 9)
Find: The slope of the line that goes through those two points
Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula. This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.
<u>Plug in the values</u>
<u>Simplify the expression</u>
Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.
So 30/48=15/(x+9)
this could be easily solved by recognizing the proportion (the other way is usiing full algebra and doing multiply both sides by 48(x+9) and then divide both sides by 30 then subtract 9)
30 is 2 times of 15
therefor 48 is 2 times of (x+9)
48=2 times (x+9)
divide both sides by 2
24=x+9
subtract 9
15=x
x=15