Answer: 797 feet 3 inches
Step-by-step explanation:

Answer:
The length of sides of one square is 5cm and length of sides of another square is 9cm
Step-by-step explanation:
Let the length of rectangle be x and width of rectangle be y.
We have given,
Area of rectangle = 45 cm²
i.e. Area of rectangle = x·y = 45 or xy = 45 ---------(1)
Next, two squares are constructed from two adjacent sides of rectangle.
i.e Side length of one square will be x and side length of another square will be y.
Area of one square = x²
And area of another square = y²
According to problem,
Sum of area of two squares is 106 cm²
∴ x²+y² = 106 ---------------(2)
From equation (1) and (2) , we can find x and y.
xy = 45 or x =
, Plug this in equation (2).
We get,
x² + y² = 106
or 
or 
or 
On solving this equation we get ,
y²=81 or 25
or y = 9 or 5
for y =9 , x= 
or for y = 5 , x = 
Hence the length of sides of one square is 5cm and length of sides of another square is 9cm
The simplest form of the expression is -10 + 8v + 32w
Given the expression
-10(-v+6w)-w-9(-3w-v)
First, we need to expand the given equation using the distributive law:
-10(-v+6w)-w-9(-3w-v)
= -10-v+6w-w-9(-3w)+9(v)
= -10-v+6w-w+27w+9v
Collect the like terms:
= -10 - v +9v + 6w - w+ 27w
= -10 + 8v + 32w
Hence the simplest form of the expression is -10 + 8v + 32w
Learn more here: brainly.com/question/14874506
Answer:
Notebooks: $2.75 each; pens: $1.10 each
Step-by-step explanation:
Let n and p represent the unit cost of notebooks and the unit cost of pens.
Then 3n + 2p = $10.45, and 4n + 6p = $17.60.
Let's use elimination by addition/subtraction to find n and p.
Multiplying the first equation by -3, we get -9n - 6p = -$31.35
and then combine this with the second: 4n + 6p = $17.60
-----------------------------
Then, -5n = -$13.75
Dividing both sides by 55, we get n = $13.75 / 5, so we now know that n = $2.75. Each notebook costs $2.75.
Subbing $2.75 for n in the first equation, we get:
3($2.75) + 2p = $10.45, or
$8.25 + 2p = $10.45
Solving for p, we get p = $2.20 / 2 = $1.10.
Each pen costs $1.10.