Mike packed an equal number of flashlights in each of x gift boxes. the number of compartments in each gift box was 3 more than the number of boxes. the number of flashlights in each compartment of a box was 2 more than the number of compartments in each box. the expression below shows the total number of flashlights that mike packed in all the boxes: x(x + 3)(x + 5) which expression shows the number of flashlights in each box?

Step-by-step explanation:

Given :

Mike packed an equal number of flashlights in each of x gift boxes.

The number of compartments in each gift box was 3 more than the number of boxes.

The number of flashlights in each compartment of a box was 2 more than the number of compartments in each box.

To Find: Which expression shows the number of flashlights in each box?

Solution :

Since we are given that there are x boxes

And we are also given that  The number of compartments in each gift box was 3 more than the number of boxes.

⇒x+3

Thus no. of compartments in each box = x+3

We are also given that The number of flashlights in each compartment of a box was 2 more than the number of compartments in each box.

⇒x+3+2

⇒x+5

Thus the no. of flashlights in each box = x+5

The expression below shows the total number of flashlights that Mike packed in all the boxes: x(x + 3)(x + 5)

Since x box contains flashlights = x(x + 3)(x + 5)

So, 1 box contains flashlight  

Hence The expression shows the number of flashlights in each box :

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this