Alejandro has 3 times as many playlists as derrick does. alejandro has 24 playlists. if d = the number of playlists derrick has, which mathematical sentence expresses the information above?

Derrick has 8 playlists in his possession.

Step-by-step explanation:

If Derrick as x amount of playlists, then if Alejandro has 3 times as many playlists as Derrick then he has 3x. Now if Alejandro has 24 playlists we can create the following mathematical expression to figure out how many playlists Derrick has.

.... divide both sides by 3

We can now see that Derrick has 8 playlists.

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option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have