Gary and his assistant can rake the sand on a beach volleyball court together in 24 minutes. if his assistant could do it alone in one hour, how quickly could gary rake the court by himself?

40 minutes

Step-by-step explanation: The two of them could rake it in 24 minutes

Let x represent the minute the assistant can work alone and y represent the minutes Gary can work alone

Let the job required to be done be 1, then Gary can rake 1/y and the assistant can rake 1/x

i.e 1/x + 1/ y = 1/24

substituting the time it will take the assistant

⇒ 1/60 + 1/y = 1/24

                 1/y = 1/24 - 1/60

                   1/y = 1/40

therefore y = 40 minutes

i.e it will take Gary 40 minutes

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.