Answer:
162
Step-by-step explanation:
20736 x 729 x 4/216 x 64 x27
Now go ahead and do the cancellations
20736/216 =96
729/27 =27
64/4 =16
so you end up getting 96 x 27 x1 /26
96/16 =6
so you get 27 x 6 =162
1. 4 3/4 feet = 19/4 feet
2 2/5 feet=12/5 feet.
multiplying them together yields


Part 2:
11.4 ft^2 - 4 1/2 ft^2=
11.4-4.5=6.9 ft^2 = 69/10 ft^2 left after you subtract the decoration in the middle
Now you're trying to find now many rectangular cutouts (that each are 3/8 ft^2) will fit in the remaining space.
You do that by dividing the remaining space left by 3/8:

since you have to have a whole number of cutouts, you round 92/5 down to 90/5, which is
18 cutouts
Answer:
-4 is the average rate of change from 3 to 4
Step-by-step explanation:
Average rate of change is defined as the fraction of change in f(x) value to change in x value.
Here we have x values as 3 and 4.
To find the average rate of change from x=3 to x=4
Average rate of change = change in f(x)/change in x
f(4) = -5^{4-3} +2 = -3\\f(3) = 1\\f(4)-f(3) = -3-1 =-4
Change in x = 4-3 =1
Answer:
$63.92
Step-by-step explanation:
Ok, first let's multiply:
3 x 1/6 = 3/6 (simplify:) 1/2
Then multiply again:
3 x 1/9 = 3/9 (simplify:) 1/3
Now the expression is simplified to (1/2x, 1/2y)
Hope this helped! Please comment or DM me if you have anymore questions or don't understand :)