Dam, beth, and carly walked a total of 10 miles collectively. beth walked twice as far as adam, and she walked a half a mile further than carly. if a = number of miles adam walks, b = number of miles beth walks, and c = number of miles carly walks, which equation is not true for this situation? a) b = 2a b) b = c + 0.5 c) 3a + c = 10 d) a + 2c = 10.5

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  D) a + 2c = 10.5

Step-by-step explanation:

The given relations can be written using the equations ...

  a +b +c = 10

  b = 2a

  b = c +0.5

Substituting the second equation into the first, we get ...

  a +2a +c = 10

  3a +c = 10 . . . . . . . . simplified

The equations in bold above are ones that apply in this situation.

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If we substitute the third equation into the first, we get ...

  a + (c +0.5) + c = 10

  a +2c = 9.5 . . . . . . . . . . subtract 0.5 from both sides, simplify

Note that this does not match the equation of answer choice D, which is NOT true for this situation.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.