







A Parabolic Arch 
20200921 

From Malen: A hotel entrance makes a parabolic arch that can be represented by the quadratic function, y= x^28x+24, where y is the height of the arch and x is the distance from wall to wall in the feet. What is the distance between the two walls of the arch. Answered by Harley Weston. 





my prcentage of years on earth is 
20200921 

From Bill: This Tuesday is my birthday and I will be 69. and I just wanted to know
life ear is say earth is 6 billion years old I'm just curious to what percentage does my existence on earth reptresent I do realize that it's a
flash in the pan Answered by Penny Nom. 





A problem involving distance, time, and rate. 
20200915 

From Ruby: Amy drove on the highways at 70 miles/hour to pick up fruits from her grandma’s garden in the morning.
She stayed there for two hours. When coming back in the afternoon, she drove on the local roads at 40 miles per hour to avoid traffic.
She spent a total of 8 hours for this trip, and drove a total 300 miles.
How many miles did she drive each way? Answered by Penny Nom. 





The surface area of a dome 
20200913 

From Sue: i need to know the outside square footage of a dome house 24ft
across at the bottom and 16ft high so i know how much
paint it will take to cover it. Answered by Harley Weston. 





9 games with 3 possible outcomes 
20200913 

From Daniel: Hi
I’d like to know how many different outcomes would be in a
Soccer week played if there is 9 different games 2 teams and 3 outcomes
Win, tie or lose
Thank you Answered by Penny Nom. 





Simultaneous equations 
20200905 

From Paa: a+b=8
a+c=13
b+d=8
cd=6
find the value of each letter Answered by Penny Nom. 





Slope 
20200904 

From Mark: I'm trying to calculate slope over 157'.I have a drop of 9 1/8 inches. What fraction of an inch of fall do I have every 10 feet Answered by Penny Nom. 





The angular speed of a wheel 
20200903 

From Catrina: A car is moving at a rate of 75 miles per hour, and the diameter of its wheels is 2.6 in. Find the angular speed of the wheels in radians per minute. Answered by Penny Nom. 





Bearings 
20200830 

From Tom: A boy walks 5km due North and then 4km due East
I. Find the bearing of his current position from his starting point
II. How far is the boy now from the starting point Answered by Penny Nom. 





4 digits to unlock a padlock 
20200828 

From Sophie: I have forgotten the order in what the numbers go for my padlock! The numbers are, 0125, they don't have any repeats like, 0001, 0002. What are all possible the combinations? Help! Answered by Penny Nom. 





Arranging buttons in a row 
20200824 

From Nick: A sequence of 10 buttons can be arranged in a line. The buttons are identical except for colour, with each button being either red, blue or green.
Arranging buttons in a row
How many sequences can be made where there are exactly 2 red buttons as part of the sequence of 10 buttons?
How many sequences can be made where there are exactly 4 red buttons as part of the sequence of 10 buttons? Answered by Penny Nom. 





A diameter of a circle 
20200819 

From Apple: One end of the the diameter of the circle with equation x^2+y^24x+4y=2 is (3,1). Find the coordinates of the other end of the diameter. Answered by Penny Nom. 





A window problem 
20200818 

From Richard: Hello,
I was hoping your math specialists could help me with some formulas.
I have shapes with specific known variables need to calculate others.
Example:
We make a straight legged arch, This shape has a width a overall height and a leg height, The leg height is always less then the overall, And the top is arched.
We have the width, Height, and leg size.
Need to calculate the length of the curve and sq ft of the shape. Answered by Harley Weston. 





A word problem with no algebra 
20200811 

From Julie: At 3pm, Bruce headed north at 30 km/hr. 2 hours later, Lucy headed south at 40 km/hr. At what time will they be 340 km apart Answered by Penny Nom. 





More on the last 2 digits of a^k = N 
20200807 

From Jay: I've seen solution methods for finding the last 2 digits
of a^k = N, where a and k are known. My question
is:
What if the number N is known and the last 2
digits are, say, ...62. Is there a way to find, for
any given a, the value of k which will result in a
number where the last 2 digits are ...62? and if
that is possible, then do the same for
a number with the last n digits (say 7 or 53 or
something)? Answered by Harley Weston. 

