Answer:
Theory
Step-by-step explanation:
The term theory is associated to a "set of logical interrelated concepts, statements, propositions, and definitions", who are "derived from philosophical and logical beliefs from scientific data and from which questions and hypotheses can be deduced, characterize, tested and verified".
So then we can conclude that :
A set of logically interrelated concepts, statements, propositions, and definitions supported by data, testing, and verification to account for or characterize some phenomena is called theory.
Answer:
ITS THE SECOND ONE
Step-by-step explanation:
Applying the area of a rectangle, the width of the walkway (x) is: 4 feet.
<h3>What is the Area of a Rectangle?</h3>
Area of a rectangle = (length)(width)
Total area of the pool and walkway = 300 sq. ft
Length of the pool and walkway = 12 + 2x
Width of the pool and walkway = 7 + 2x
Thus, we will have the equation of the total area as:
(12 + 2x)(7 + 2x) = 300
4x² + 38x + 84 = 300
4x² + 38x + 84 - 300 = 0
4x² + 38x - 216 = 0
Factorize
(x - 4)(2x + 27) = 0
x = 4
or
x = -27/2
The width, x, cannot be negative, so, the width of the walkway (x) would be 4 feet.
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When a number is 3 times a first number. A third number is 100 more than the first number and the sum of the three numbers is 450, the numbers are 70, 170 and 210.
<h3>How to calculate the numbers?</h3>
Let the first number = x
Second number = 3x
Third number = x + 100
Sum = 450
The numbers will be:
x + 3x + x + 100 = 450
5x + 100 = 450
5x = 450 - 100
5x = 350
Divide
x = 350 / 5
x = 70
First number = 70
Second number = 3x = 3 × 70 = 210
Third number = x + 100 = 70 + 100 = 170
Therefore, the numbers are 70, 170 and 210.
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One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 450 , find the numbers.