Step-by-step explanation:
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<h3>
Answer: 1/8</h3>
Explanation:
Pick any term and subtract off the previous term to get the common difference.
So,
13/40 - 1/5 = 13/40 - 8/40 = (13-8)/40 = 5/40 = 1/8
Or
9/20 - 13/40 = 18/40 - 13/40 = (18-13)/40 = 5/40 = 1/8
The positive common difference value indicates this arithmetic sequence is increasing.
Answer:
The selling price of the puppy is $284.50.
Step-by-step explanation:
In the present case, the puppy's original selling price is $ 339.50. At this price a discount of $ 55 is made, that is, that amount is subtracted from the original price, modifying the sale price.
Therefore, since 339.50 - 55 results in 284.50, the puppy's sale price goes from $ 339.50 to $ 284.50, taking the aforementioned discount.
Answer: The formula to calculate the radius of a sphere if we know the volume is: Cubic root [3V/(4∏)].
Solution:
The formula for the volume (V) of a sphere is:
V=(4∏/3) r^3
Solving for r: Multiplying both sides of the equation by 3/(4∏):
3/(4∏) V = 3/(4∏) [(4∏/3) r^3]
3V/(4∏) = r^3
Cubic root both sides of the equation (raising to the power 1/3):
Cubic root [3V/(4∏)] =Cubic root (r^3)
Cubic root [3V/(4∏)] = r
r = Cubic root [3V/(4∏)]
The system of the linear systems of equation using substitution is;
- x = 2, y = 2
- x = -20, y = -1
<h3>Linear equation</h3>
3x-y=4
x+2y=6
from (2)
x = 6 - 2y
substitute into (1)
3x-y=4
3(6 - 2y) - y = 4
18 - 6y - y = 4
- 6y - y = 4 - 18
-7y = -14
y = 2
Substitute into
x+2y=6
x + 2(2) = 6
x + 4 = 6
x = 6 - 4
x = 2
2. 2x-y= -39
x+y= -21
From (2)
x = -21 - y
substitute into
2x-y= -39
2(-21 - y) - y = -39
-42 - 2y - y = -39
- 2y - y = -39 + 42
- 3y = 3
y = 3/-3
y = -1
substitute into
x+y= -21
x + (-1) = -21
x - 1 = -21
x = -21 + 1
x = -20
3. 2x+y =11
6x-5y =9
Learn more about linear equation:
brainly.com/question/4074386
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