So to get the Greatest Common Factor (GCF) of 55 and 21 we must need to factor each value first and then we choose all the copies of factors and multiply each of them here is what i mean:
<span><span>55: 5 11</span><span>21: 3 7</span></span>
The Greatest Common Factor (GCF) is: 1
Answer:
$49.572
Step-by-step explanation:
Given that :
Cost per disc = $18
Number of disc purchased = 3
Discount received = 15%
Sales tax = 8%
Original cost : cost per dic * number purchased
Original cost = $18 * 3 = $54
Discounted price = (100 - 15)% * $54
Discounted price = $45.9
Sales tax :
(100 + 8)% of $45.9
108% * $45.9
= $49.572
Total price = $49.572
Let x ft be the length of the base square and y ft be the height of the box.
The volume of the box is
Since the box has a volume of 15 cubic feet, then
You need to construct two squares from the metal that cost $3 per square foot.
The area of each square is 
and the total cost for these two squares is 
The area of each side face is 
Then the total cost for sides is 
Let S(x) be the function that represents total cost of the box, then
Find the derivative:
When 
then ![12x-\dfrac{600}{x^2}=0,\\ \\12x^3=600,\\ \\x^3=50,\\ \\x=\sqrt[3]{50}\ ft.](https://tex.z-dn.net/?f=12x-%5Cdfrac%7B600%7D%7Bx%5E2%7D%3D0%2C%5C%5C%20%5C%5C12x%5E3%3D600%2C%5C%5C%20%5C%5Cx%5E3%3D50%2C%5C%5C%20%5C%5Cx%3D%5Csqrt%5B3%5D%7B50%7D%5C%20ft.)
The dimensions of the box are:
length and width - ![\sqrt[3]{50}\ ft](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B50%7D%5C%20ft)
height - ![\dfrac{15}{\sqrt[3]{2500}}\ ft.](https://tex.z-dn.net/?f=%5Cdfrac%7B15%7D%7B%5Csqrt%5B3%5D%7B2500%7D%7D%5C%20ft.)
Answer: The answer is (1,10)
Step-by-step explanation:
Answer:.
0.5
Step-by-step explanation:
0.5
Write the fraction as a decimal. *
5.
-
9
