Answer: 37.5
1/2 in decimal from is 0.50 or 0.5
Answer:An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .
Step-by-step explanation:
Answer: The mass of the object is 10 kg
Step-by-step explanation:
According to Newton's second law of motion, the force
applied to an object with mass
is directly proportional to its acceleration
:
(1)
If we isolate
:
(2) This means the acceleration of the object varies inversely with its mass
Now, we are given the following data to calculate a constant force using (1):

(3)
(4)
(5)
If we apply this same force calulated in (4) in another object with an acceleration of
, its mass
will be:
(6)
(7)
Finding
:
This is the mass of the object
The area of the figure is 104.52 sq inches
<h3>How to determine the area of the figure?</h3>
In the complete figure, we have:
1 Rectangle: Base = 8 in and Height = 6 in
2 semicircles: Diameter = 6 inches
The area of the figure is
Area = Area of rectangle + Sum of Areas of semicircles
This gives
Area = Base * Height + 2 * π(d/2)^2
This gives
Area = 8 * 6+ 2 * 3.14 * (6/2)^2
Evaluate
Area = 104.52
Hence, the area of the figure is 104.52 sq inches
Read more about areas at:
brainly.com/question/24487155
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For this case we propose a system of equations:
x: Let the variable representing the quantity of Granny Smith apples
y: Let the variable representing the number of Gala apples
According to the statement we have:

From the first equation we have to:

replacing in the second equation:

So, Carl bought 7 Gala apples
On the other hand:

So, Carl bought 12 Granny Smith apples
Answer:
Carl bought 7 Gala apples and 12 Granny Smith apples