frankie can build a speaker box in 120 minutes trash can build a speaker box 40 minutes faster if they work together how many minutes does it take them to build the speaker box

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  48 minutes

Step-by-step explanation:

Each minute, F can build 1/120 of a speaker box, and T can build 1/80 of a speaker box. Working together, in 1 minute, they can complete ...

  1/120 + 1/80  . . . . .  speaker boxes

  = 2/240 +3/240 = 5/240 = 1/48 . . . . speaker boxes

Then there will be 1 complete speaker box after 48 minutes.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

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 .