The given information permits us to calculate the circumference (C) of the wheel as follows

Then (as you said correctly!) the same wheel will move

after 16 rolls.
Answer: The number is 0.75 or 3/4
Step-by-step explanation:
let x = the number.
Now set up an equation: The product of a number (x) and -4 = -4x. So -4x is subtracted from the number - x. x-(-4x)
Then, that equals 3 more than the number (x) = x+3
So the equation is x-(-4x)=x+3.
Then, solve the equation!
x-(-4x)=x+3
x+4x=x+3 (Distribute the negative to the parentheses)
5x=x+3 (Combine like terms)
4x=3 (Get the Xs on one side by subtracting x from both sides)
x=0.75 or 3/4 (divide by the coefficiant, 4, on both sides)
Answer:
Point C: (4, 0)
Step-by-step explanation:
Parallelograms are quadrilaterals with two pairs of parallel sides, this means they will have the same slope between two line segments.
point slope form between two points: y - y1 = m (x - x1)
point A (2, 6) and D (4,4):
slope: point form, 6 - 4 = m(2 - 4)
2 = -2m
m (slope) =
=
now that you know the change in position, apply this to vertice B to get the position of the final vertice.
B(2, 2)
C (2 +2, 2-2) = C(4, 0)
The final position of C vertice for parrallelogram A(2,6), B(2,2), D(4,4) will be C(4,0)
Simplify the following:
8/(1/3)
Multiply the numerator of 8/(1/3) by the reciprocal of the denominator. 8/(1/3) = (8×3)/1:
8×3
8×3 = 24:
Answer: 24