Answer:
The domain for x is all real numbers greater than zero and less than 5 com
Step-by-step explanation:
<em><u>The question is</u></em>
What is the volume of the open top box as a function of the side length x in cm of the square cutouts?
see the attached figure to better understand the problem
Let
x -----> the side length in cm of the square cutouts
we know that
The volume of the open top box is
we have
substitute
Find the domain for x
we know that
so
The domain is the interval (0,5)
The domain is all real numbers greater than zero and less than 5 cm
therefore
The volume of the open top box as a function of the side length x in cm of the square cutouts is
116 1/4 = 465/4 and 2 2/9 = 20/9
(465/4)÷(20/9) will be the answer and it is equal to 52 flags
<h2>
Hello!</h2>
The answer is:
First employee: 3 gallons
Second employee: 3 1/3 gallons
Total: 
<h2>
Why?</h2>
From the statement we know:
First employee uses 3/4 gallon each our, for 4 hours the will use:
Second employee uses 1 2/3 (5/3) gallon every 2 hours, meaning 5/6 gallon each hour.
Remember, to sum (algebraic sum) fractions we should follow the next steps:
First: Multiply both fractions denominators by each other in order to get the denominator of the new fraction.
Second: Multiply the numerator of the first fraction by the denominator of the second fraction.
Third: Multiply the denominator of the first fraction by the denominator of the second fraction.
Fourth: Sum (algebraic sum) each result and divide it into the number obtained from the first step (denominator of the new fraction).
Example:
Have a nice day!
Answer:
<em>"First, work out the difference (decrease) between the two numbers you are comparing. Decrease = Original Number - New Number. Next, divide the decrease by the original number and multiply the answer by 100. % Decrease = Decrease ÷ Original Number × 100. If the answer is a negative number, this is a percentage increase."</em>
