The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.
<h3>What is a Cylindrical figure ?</h3>
A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.
It does not have an edges or vertices.
It is given in the question that
A cylinder with height 14 feet and radius 25 feet.
The volume of a cylinder.
V = π252(14)
The water than can be filled is equal to the volume of the cylinder
V = 11088 cu.ft
There the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.
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Well, let's first solve each equation:
1.) -4x + 6 - 3x = 12 - 2x - 3x
To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):
-7x + 6 = 12 - 5x
Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:
-7x + 6 = 12 - 5x
+5x +5x
_____________
-2x + 6 = 12
Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:
-2x + 6 = 12
-6 -6
____________
-2x = 6
Finally, divide by -2 on each side, to find out what the value of 'x' is:
-2x = 6
÷-2 ÷-2
________
x = -3
So, the answer is not 'A.'
_________________________________________
Now, we test out the rest of the equations, the exact same way:
2.) 4x + 6 + 3x = 12 + 2x + 3x
Combine your like-terms, on each side of the equal sign:
7x + 6 = 12 + 5x
Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:
7x + 6 = 12 + 5x
-5x -5x
______________
2x + 6 = 12
Next, subtract 6 from both sides:
2x + 6 = 12
-6 -6
__________
2x = 6
Finally, divide by 2, on both sides:
2x = 6
÷2 ÷2
__________
x = 3
So, the answer is 'B.'
_________________________________________
3.) 4x + 6 - 3x = 12 - 2x - 3x
Again, we combine the like-terms, on both sides of the equal sign:
x + 6 = 12 - 5x
Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:
x + 6 = 12 - 5x
+ 5x + 5x
______________
6x + 6 = 12
Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:
6x + 6 = 12
- 6 - 6
_____________
6x = 6
Now, divide by 6, on both sides:
6x = 6
÷ 6 ÷ 6
_____________
x = 1
So, the answer is not 'C.'
_________________________________________
4.) 4x + 6 - 3x = 12x + 2x + 3x
First, we combine the like-terms:
x + 6 = 17x
Next, we get both terms, with the variable, 'x,' to the same side:
x + 6 = 17x
-x -x
_____________
6 = 16x
Now, divide by 16, on both sides:
X = 3/8
So, 'D,' is not the answer.
_______________________
The answer is, 'B.'
I hope this helps!
Answer:
Her balance at the beginning of November=$973.76
Step-by-step explanation:
What is Natasha's credit balance at the beginning of November?(i.e. at the end of October)
The balance at the end of each month is the beginning balance plus the current month's purchases minus the minimum payment for the month.
Sept =$922.93+$33.70+9.89%/12*($922.93+$33.70)
Sept=$964.51
payment= 964.51*3.08%
balance at the end of Sept=$964.51-($964.51*3.08%)
balance at the end of Sept=$934.80
Oct=$934.80+$61.70+9.89%/12*($934.80+$61.70)
Oct=$ 1,004.71
payment=$1,004.71*3.08%
balance at the end of Oct(at beginning of Nov)=$ 1,004.71-($1,004.71*3.08%)
balance at the end of Oct(at beginning of Nov)=$973.76
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