Explanation

The mean proportional between two numbers a and b is √(ab).

So, √(2 × 8) = √16 = 4.

Explanation

Casey can carry 4 boxes per trip.

Total boxes = 33

Number of trips = 33 ÷ 4 = 8.25

Since he can’t make a fraction of a trip, he needs 9 trips.

Explanation

To find the average:

(25 + 20 + 17 + 19) ÷ 4  

= 81 ÷ 4  

= 20.25

Explanation

Let's find the third number:

Average = (Sum of numbers) / 3

65 = (60 + 75 + x) / 3

65 × 3 = 60 + 75 + x

195 = 135 + x

x = 195 - 135

x = 60

Explanation

- 3 pointers point 3 walls in 3 minutes.

- So, 1 pointer points 1 wall in 3 minutes.

Now, we want to know how many pointers are needed to point 27 walls in 9 minutes.

Since 1 pointer points 1 wall in 3 minutes, in 9 minutes (which is 3 times longer), 1 pointer can point:

1 wall × 3 = 3 walls.

To point 27 walls in 9 minutes:

Number of pointers needed = Total walls / Walls per pointer = 27 / 3 = 9 pointers.