Let the volume of the cylinder be V cubic meters, the diameter be d meters and the height be h meters.
Now we can write the formula for the volume as follows:
Rearranging the formula, the height becomes:
Answer:
Step-by-step explanation:
First you need to convert it to a linear expression.
3x - y = 4
+3x +3x
-1y = 3x + 4
--- ----- -----
-1 -1 -1
y = -3x -4
6x - 2y = 7
-6x -6x
-2y = -6x + 7
---- ----- -----
-2 -2 -2
y = 3x - 3.5
-3x - 4 = 3x - 3.5
+3x +3x
-4 = 6x - 3.5
+3.5 +3.5
-0.5 = 6x
----- -----
6 6
-0.5
------ = x
6
Answer:
n= -6
Step-by-step explanation:
Simplifying
4 + -7n = -1(8n + 4) + 2
Reorder the terms:
4 + -7n = -1(4 + 8n) + 2
4 + -7n = (4 * -1 + 8n * -1) + 2
4 + -7n = (-4 + -8n) + 2
Reorder the terms:
4 + -7n = -4 + 2 + -8n
Combine like terms: -4 + 2 = -2
4 + -7n = -2 + -8n
Solving
4 + -7n = -2 + -8n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '8n' to each side of the equation.
4 + -7n + 8n = -2 + -8n + 8n
Combine like terms: -7n + 8n = 1n
4 + 1n = -2 + -8n + 8n
Combine like terms: -8n + 8n = 0
4 + 1n = -2 + 0
4 + 1n = -2
Add '-4' to each side of the equation.
4 + -4 + 1n = -2 + -4
Combine like terms: 4 + -4 = 0
0 + 1n = -2 + -4
1n = -2 + -4
Combine like terms: -2 + -4 = -6
1n = -6
Divide each side by '1'.
n = -6
Simplifying
n = -6
First, let's figure how much will 12% discount take off 10,000 dollars worth of goods.
To do that, we can multiply 12 by 10,000 and then divide by 100 to get the discount.
12 x 10,000 = 120,000
120,000/100 = 1,200
The discount for 12% of 10,000 is 1,200 dollars off.
Then, we would subtract that from 10,000.
10,000 - 1,200 = 8,800
After that, we need to solve for the amount taken off 17% of 8,800.
Same thing, multiply 17 by 8,800 and then divide by 100.
17 x 8,800 = 149600
149,600/100 = 1496
Lastly subtract that from 8800.
8800 - 1496 = 7304
Therefore, the final cost of $18,000 worth of appliances is $7,304 plus tax.
Answer:
A' (-3, -2)
B' (-3, -10)
C' (3, -10)
D' (3, -3)
Step-by-step explanation:
When reflecting over the y-axis, the x- coordinates don't change, rather only the position of the y-value is shifted. When moving the y-values, it is good to count how many spaces away the point is from the line , so it can be duplicated when you flip it.
Hope this Helps! :)
