Adrawer has some red ,green and blue marbles. there are 33 marbles . there are 4 times as many red marbles as green marbles. there are half as many blue marbles as green marbles.
how many blue marbles are in the drawer?

The number of blue marbles be 3.

Step-by-step explanation:

As given

A drawer has some red ,green and blue marbles.

There are 33 marbles .

there are 4 times as many red marbles as green marbles.

Let us assume that the number of green marbles be g .

Than Red marbles = 4g

There are half as many blue marbles as green marbles.

Than

Than the equation becomes

Than simplify the above

g = 6

Number of blue marbles = 3

Therefore the number of blue marbles be 3 .

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

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 .