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lyudmila [28]
3 years ago
14

Select "ALL" that are right

Mathematics
1 answer:
Leokris [45]3 years ago
5 0
<h3>Answer:</h3>

These steps <em>can</em> be used:

  • combine -6 and 4
  • combine 15 and -3
  • multiply 2 by x and -2
<h3>Step-by-step explanation:</h3>

The equation could be solved as follows:

  2(x -6 +4) = 15 -3                 given

  2(x -2) = 15 -3                      combine -6 and 4

  2(x -2) = 12                          combine 15 and -3

  2x -4 = 12                            multiply 2 by x and -2

  2x = 16                                add 4 to both sides

  x = 8                                    divide both sides by 2

_____

<em>Alternate solution</em>

At step 4, you could have

  x -2 = 6                              divide both sides by 2

  x = 8                                   add 2 to both sides

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SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
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Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
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