The delivery person weighs 150lb and each box of books weigh 40lb the maximum capacity of the elevator is 1020lb how many box of books can the delivery person bring up at one time

21 box of books can be brought up by the delivery person at one time

Step-by-step explanation:

Here, we want to know the number of box of books that the delivery person could bring up at one time.

Let the number of boxes be x , so the total mass of the boxes that could come up at a time will be x * 40 = 40x lb

Let’s add this to the mass of the delivery person = 150 lb

So the total mass going inside the lift would be 150 + 40x

So we have to equate this to the maximum capacity of the lift;

150 + 40x = 1020

40x = 1020 - 150

40x = 870

x = 870/40

x = 21.75

Now since we cannot have fractional boxes, the number of boxes that could come into the lift without exceeding the maximum capacity of the lift is 21

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.