Answer:

Step-by-step explanation:
GIVEN: The length of each side of a square is
inches more than the length of each side of a small square. The sum of the areas of the square is
inches.
TO FIND: the lengths of the sides of the two squares.
SOLUTION:
let the length of side of small square be 
Area of small square 
As length of each side of bigger square is
more than the smaller square
length of side of bigger square 
Area of bigger square 
Also
Sum of areas of both square 




as the length of side can never be negative

length of side of smaller square 
length of side of bigger square 

Hence the length of smaller and bigger square are
and
respectively.
<h3>
Answer: 15</h3>
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Work Shown:
d = common difference
p = first term = 24
q = second term = a+d = 24+d
r = third term = q+d = 24+d+d = 24+2d = 6
------------
Solve for d
24+2d = 6
2d = 6-24
2d = -18
d = -18/2
d = -9
We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.
------------
First term = 24
Second term = 24-9 = 15
Third term = 15-9 = 6
We get the sequence 24, 15, 6
Answer: 5/6
Step-by-step explanation:
Use slope formula of y2-y1/x2-x1. So here it doesn’t matter which is which so I did (6,5) x1 and y1 and (0,0) x2 and y2
So plugging it in it would be 0-5/0-6 = -5/-6 which simplifies to 5/6
Answer:
There needs to be 300 liters of Drink A and 270 liters of Drink B
Step-by-step explanation:
Let a = the amount of Drink A and b = the amount of Drink B
Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:
0.2a + 0.15b = 100.5
We know what the difference between a and b will be 30 liters so:
a - b = 30
Now we have our system of equations
To cancel out a, we can multiply the first equation by -5 so we will now have:
-a - 0.75b = -502.5
a - b = 30
Adding these two equations together, we get:
-1.75b = -472.5
Both sides are negative, so we can take the negative signs away.
1.75b = 472.5
Now divide both sides by 1.75
b = 270
Plugging 270 into b, we have:
a - b = 30
a - 270 = 30
Add 270 to both sides
a = 300
There needs to be 300 liters of Drink A and 270 liters of Drink B