How many 2/3 cup servings are in 1/6 of a cup of popcorn? (in simplest fraction form) a) 1/2 b) 1/4 c) 2/3 d) 3/8

1/4 thus B: is your answer

Step-by-step explanation:

Simplify the following:

(1/6)/(2/3)

Multiply the numerator by the reciprocal of the denominator, (1/6)/(2/3) = 1/6×3/2:

3/(6×2)

3/6 = 3/(3×2) = 1/2:

1/(2×2)

2×2 = 4:

 1/4

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )