when 3 is subtracted from one-third of a number n the result is less than 6 what inequality and solution represent this Situation?

One third of a number: 1/3

3 is subtracted from 1/3 of a number n: 1/3n -3

Result is less than 6: less is represented with the symbol <. So, the result of the expression 1/3n-3 is less (<) than 6.

The final expression:

1/3n-3<6

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .