Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.

Divide both sides by 1/30 to get k alone.
and

Our model then is

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.
Answer:
A. typical value and the spread are both greater in set A.
Hi there!

We can solve for x knowing that the sum of interior angles in a triangle is 180°.
The square at the bottom indicates a right angle, or 90°. Therefore:
180 = 90 + x + (x + 10)
Combine like terms:
180 = 100 + 2x
Subtract 100 from both sides:
180 - 100 = 2x
80 = 2x
Divide both sides by 2:
x = 40.
To find the answer, you need to solve for b.
2(2b + 3) = 12 divide both sides by 3
2b + 3 = 6 divide both sides by 2
2b = 3 subtract 3 from both sides
b = 1.5 divide both sides by 2
b = 1.5 satisfies the equation. if you plug 1.5 in, you get that the equation is true.
Answer:
92
Step-by-step explanation:
Corner triangle: 1/2 (2 x 2) = 2
4 triangles = 4 x 2 = 8
Octagon + 4 triangles forms a square: 10 x 10 = 100
Octagon: 100 - 8 = 92