It takes nim 2 2/3 hours to weave a basket. he worked monday through friday , 8 hours a day. how many baskets can he make?

15 baskets

Step-by-step explanation:

In order to solve this question, first we need to know the amount of hours that Nim was able to work.

If Nim worked Monday through Friday, 8 hours a day, then:

Monday to Friday = 5 days

1 day = 8 hours

5 days * 8 hours = 40 hours

Out of these forty hours, Nim needs 2 2/3 hours to weave a basket. Therefore:

40 / (2 2/3) =

40 / (8 /3) =

40 * 3/8 =

120/8 = 15

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .