W= width
l= length= 2w-3
Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)
Set each set of parentheses equal
to 0 and solve for width.
0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE
0=w-6
6 cm=w
-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.
length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm
CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54
ANSWER: width= 6cm; length= 9cm
Hope this helps! :)
If the question is how many MORE people are on the bus, it's 4.
But, if it's simply how many are on the bus going home, then it's 23 as you said.
I think it may have been poorly worded, but I hope I helped.
State A = State B - 1111
State A + State B = 8787
So, (B-1111) + B = 8787
2B -1111 = 8787
2B = 8787+1111
2B = 9898
B= 4949
Then A = B - 1111
A = 4949 - 1111
A = 3838
Proof is A + B = 8787
3838 + 4949 = 8787
It is Associative. The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.
Read more: http://www.mathwarehouse.com/dictionary/A-words/definition-of-associative-property.php#ixzz5OCgO33HK
