Teacher keeps 100 pencils in a jar. there are 16 more sharp pencils than dull pencil. how many pencils are dull and how many pencils are sharp

42 dull pencils

58 sharp pencils

Step-by-step explanation:

Dull pencils = x

Sharp pencils = x + 16

Therefore, the total is:

x + (x + 16) = 100

Combine like terms:

2x + 16 = 100

Subtract 16 from both sides:

2x = 84

Divide both sides by 2:

x = 42

Recall that x represents dull pencils, so there are 42 dull pencils. Also recall that x + 16 represents sharp pencils, so there are 42 + 16 = 58 sharp pencils.

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 .

answer: i don't understand it

step-by-step explanation: sorry