Area of each piece of paper is
Greatest number of possible piece of paper is
![[1000\div\frac{187}{2}]=[1000\times\frac{2}{187}]=[\frac{2000}{187}]=10](https://tex.z-dn.net/?f=%5B1000%5Cdiv%5Cfrac%7B187%7D%7B2%7D%5D%3D%5B1000%5Ctimes%5Cfrac%7B2%7D%7B187%7D%5D%3D%5B%5Cfrac%7B2000%7D%7B187%7D%5D%3D10)
X=price of one jumbo popcorn
y=price of one chocolate chip cookies
$5.00=$5.00(100 cts / $)=500 cts
$6.00=$6.00(100 cts / $)=600 cts
We suggest this system of equations:
x+2y=500
x+4y=600
we solve this system of equations by reduction method.
-(x+2y=500)
x+4y=600
----------------------
2y=100 ⇒ y=100/2=50
x+2y=500
x+2(50)=500
x+100=500
x=500-100
x=400
solution: one chocolate chip cookie cost 50 cts.
Answer:
Commutative
Step-by-step explanation:
There are four basic property of operations to solve an algebraic expressions. They are associative, commutative, distributive and identity.
The expression given is : 
So the given algebraic expression is a commutative property of operations. The commutative property states that when any two numbers are added in an expression the sum of the numbers are the same regardless of the order of the numbers that are added.
Thus the sum of the above expression will be same in which ever order the numbers are added.
Answer:
12.5% increase OR 112.5% Percentage of Change
Step-by-step explanation:
For this problem consider that our original maximum value is 96 square feet, but our new maximum value is 108 square feet. So to find the change as a percentage (in this case the increase) use the following formula:
Percentage of Change = ( New Maximum / Old Maximum ) * 100
So, let's use this formula to find the percentage change of the room.
Percentage of Change = ( 108 / 96 ) * 100
Percentage of Change = (1.125) * 100
Percentage of Change = 112.5
So the percentage of Change is 112.5%. Note, the old maximum is the point of comparison which is 100%.
So to find the increase, we will do 112.5% - 100% to get 12.5%. Hence, we have a 12.5% increase of a 108 square foot room compared to a room of 96 square feet.
Cheers.
Positive because it is increasing
