Answer: 
Step-by-step explanation:
Given
Rectangle has an area of 
Suppose rectangle length and width are
and 
If each side is increased by 
Area becomes 
We can write

Substitute the value of width from (ii) in equation (i)

Width corresponding to these lengths

Therfore, we can write the length of the longer side is 
Answer:
If we want our ratio to stay the same (3 to 5), we'll need to pair a set of 3 blue tacks with every set of 5 red tacks. In a group of 50, we can make 10 groups of 5 red tacks, so we'll also need 10 groups of 3 blue tacks, which gives us a total of 30 blue tacks
Answer:
Nethan made 8 rose bouquets and 6 daffodil bouquets.
Nethan only has enough flowers to make at most 20 rose or daffodil bouquets total.
Let x represents the number of more rose bouquets.
Let y represents the number of more daffodil bouquets.
The maximum bouquets that can be made = 20
And the number of bouquets made are = 14
So, additional bouquets are = 
In equation form we can show like :

or 
or 
Putting values of x as 0,2,4 and 6 we get:
When x = 0 then y = 6
When x = 2 then y = 4
When x = 4 then y = 2
When x = 6 then y = 0
You can see the graph attached.
Answer:
3
Step-by-step explanation:
You want a number that if it is multiplied by 3 1/3 the result will be 10. Let the number be x
3 1/3 * x = 10 Change to a mixed number
10/3 * x = 10 Multiply by 3/10
(10/3)*x * 3/10 = 10 * 3/10 Combine
x = 10*3 / 10 Simplify
x = 30/10 = 3