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Anna007 [38]
3 years ago
10

Cara is 14 years old . This is twice as old as her brother . How old is her brother

Mathematics
2 answers:
Alenkinab [10]3 years ago
6 0

Cara's brother is 7 years old.

14 is twice as much as 7 (7 * 2 = 14).

Gre4nikov [31]3 years ago
4 0

Answer:

7

Step-by-step explanation:

If Cara is twice the age of her brother,

divide 14/2

7, her brother is 7

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The correct answer is C: 1/(x + 4)(x - 5)


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Look at the factors of the right number (In this case, -10 and -12)

-10                   -12

1  * -10            1 * -12

-1 * 10             -1 * 12

-2 * 5             -2 * 6

2 * -5              2 * -6

                      -3 * 4

                       4 * -3


Now for part 2

Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).

2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is

x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)

Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.

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