The Bess family was on vacation for 105 hours. 105 hours is equivalent to days, and hours. (Please select a "days" choice and an "hours" choice

4 days, 9 hours.

Step-by-step explanation:

The Bess family was on vacation for 105 hours.

How many days and hours is equivalent to 105 hours?

24 hours make one day.

So we divide 105 by 24

105÷24= 4.375.

So we take the whole number 4 and ignore the decimals.

So we know now that 105 hours is equivalent to 4 days, but how many hours remains?

Because 24 * 4 = 96 hours.

Therefore, to find the remaining hours, we subtract 96 hours from 105 hours,

Which will give us 9 hours.

So, the equivalent time the Bess family spent on vacation is 4 days and 9 hours.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

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