A company has to make a large number of boxes. The company has 8 machines.
All the machines work at the same rate.
When all the machines are working, they can make all the boxes in 9 days.
The table gives the number of machines working each day
day 1 4 machines day 2 5 machines day 3 7 machines all other days 8 machines work out the goal number of days taken to make all the boxes

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

no

explanation:

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the correct answers are 1, 2, 4, and 5! i just got it right!