A candy factory makes 292,827 candies each day. About how many candies will it make in two weeks? Choose the best estimate.

4,180,0004 comma 180 comma 000

4,200,0004 comma 200 comma 000

4,102,0004 comma 102 comma 000

4,060,0004 comma 060 comma 000

HI Candies about 4099578

4,102,0004 comma 102 comma 000

Step-by-step explanation:

If it makes 292,827 candies in a day, to find the approximate value of candies produced in 2 weeks, you have to multiply 292,827 by 14, being 14 days in 2 weeks. But since this is just rounding, the easiest option is just to find the actual answer and see which one is closest.

{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