Amachine can stamip 36 bottle caps in ten seconds. at this rate how many minutes will it take to stamp 24,408 bottle caps?

to stamp 24,408 bottle caps = 113 minutes

or 1 hour 53 minutes

Step-by-step explanation:

It s given that,

A machine can stamp 36 bottle caps in ten seconds.

To find the time required to stamp 1 bottle

A machine can stamp 36 bottle caps in ten seconds.

Therefore time to stamp 1 bottle  cap = 10/36 =0.278 seconds

To find time required to stamps 24,408  bottle cap

total time  = number of  bottle x  time to stamp 1 bottle  cap

total time  = = 0.278 x 24408 = 6785 seconds

To convert 6785 seconds to minutes

6785 seconds = 6785 /60 = 113.08 ≈ 113 minutes

In hour 113 minutes = 1 hour 53 minutes

{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

17

step-by-step explanation:

51/3=17

thus 17 is your answer.