







Why 1/3 in the volume of a cone? 
20181020 

From Keith: In the formula for the volume of a pyramid, Volume = 1/3 * base * height, where does the 1/3 come from, intuitively? Answered by Penny Nom. 





f(x) and f(x) 
20181019 

From Simran: what is difference between f(x) compared to f(x) on graph Answered by Penny Nom. 





Angular speed 
20181018 

From Akidima: A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 seconds .
What is the average angular speed of the wheel Answered by Penny Nom. 





Filling a candy box 
20181016 

From Stephanie: My child had the question: A candy box has the following measurements.
10x6x4Find the total volume. (We got that one right 240in3)
But... then it said “How many 1/2 inch cubed pieces of candy can fit in the box?
This is where we disagree. Please help. Answered by Penny Nom. 





Covering 6 acres with dirt 
20180927 

From Scott: How many cubic yards of dirt would come from 6 acres, 6 ft. deep? Answered by Penny Nom. 





The area of a trapezoid 
20180924 

From An other: AB272 feet: AC 690 feet; CD330 Feet; DA669Feet Calculate the area in feet and Acres. Answered by Penny Nom. 





Two curves 
20180923 

From Megan: How do i find the interception points of xy=2 and y=x+3? Many thanks! Answered by Penny Nom. 





The pointslope equation for a line 
20180923 

From Sally: The equation of the line in pointslope form for the line passing through the point ( 4, 6) and parallel to the line y = 6x + 2. Describe the steps. Answered by Penny Nom. 





An inequality with no solution 
20180920 

From Alena: I'm trying to help with a homework problem. Can you please help me?
2kx  3k < 2x + 4 +3kx
We are solving for "k" with no solution. Answered by Penny Nom. 





Compatible numbers 
20180919 

From Jessica: Hello, I'm having trouble helping my daughter she is in 5th grade and I tell you her math is so much different then the math I learned in school and I been out of school for quite some time so it's a little hard for me.
Anyway her math is very confusing for me they are saying use compatible numbers to find two estimates.
I have no idea what that even mean I tried using Google but still don't get it .
The problem is 12 divided by 478 using compatible numbers to find two estimates.... please help Answered by Penny Nom. 





The sum and difference of two numbers 
20180917 

From Feni: The sum of two numbers is 4. The difference of the two numbers is 2. What are the two numbers? Answered by Penny Nom. 





A gas and oil mixture 
20180916 

From April: For a new motor bike, the recommended ratio of gas to oil is 27:1 by volume. How much gas and how much oil are needed to fill a 14 L tank on a new motor bike?
Thank you Answered by Penny Nom. 





Predicting the number of fish in a lake 
20180916 

From April: A researcher catches 30 fish in a pond, attaches a marker to their fin and releases them. The next day she places a large net in the water and catches 9 fish. 3 have the marker attached to their fin. Can she predict the number of fish in the pond???
Thank you Answered by Penny Nom. 





The volume of a hotel soup pan 
20180915 

From Melanie: If the hotel pan measures 12 inches long x 5 inches wide x 6 inches tall, how many quarts of soup will the hotel pan hold? Answered by Penny Nom. 





Velocity 
20180914 

From Adrian: If Jill was traveling at 300 miles in 4 hours due South what was his velocity in miles per second. Answered by Penny Nom. 

