So first you need your denominators to be the same so you can multiply. They share a common denominator of 24. 2/3 equals 16/24 and 2/8 equals 9/24. So now you need to turn your fractions into mixed numbers and multiply. Which equals 2112/576. That # is way to big so then you simplify and get 11/3. so now you have 5 and 1/6 divided by 11/3. So now just flip the second fraction multiply it by its reciprocal. 31/6 X 3/11=___. So your final answer is 1 and 9/22
Answer:
14,621 lbs.
Step-by-step explanation:
It says at the beginning of the question that the school district collected 14,621 lbs. of recycling. The part where it says that the school district collected 3,943 lbs. of recycling more than last year is un-needed information.
Answer:
s = 6 feet
Step-by-step explanation:
Given that,
The volume of the cube, V = 216 feet³
We need to find the side length for the cubical box. We know that the volume of the cube is given by :
, s is the side length of the box.
So,

So, the side length for the cubical box is equal to 6 feet.
Answer:
Case 1:


Case 2:


Case 3: Not possible
Step-by-step explanation:
Given
See attachment for illustration of each case
Required
Find AB and BC
Case 1:
Using Pythagoras theorem in ANB, we have:

This gives:



Take square roots of both sides


To calculate BC, we consider ANC, where:



Collect like terms


Take square roots


So:



Case 2:
Using Pythagoras theorem in ANB, we have:

This gives:


Collect like terms


Take square roots of both sides


To calculate BC, we consider ABC, where:



Collect like terms


Take square roots


Case 3:
This is not possible because in ANC
The hypotenuse AN (24) is less than AC (40)
Answer:
I hope this helps!
Step-by-step explanation:
ACB