







gcd(a^2 + b^2, a + b) 
20200119 

From Roger: I am stuck with this problem: find the gcd(a^2+b^2, a+b), where a & b are relatively prime integers not both zero. Answered by Penny Nom. 





Filling a 48 cubic meter tank 
20200119 

From kamohelo: An empty tank for storing water from a borehole has a volume of 480m3 if it is filled by a pump that pump water at a rate of 16L/s how many hours will it take the pump to fill this tank Answered by Penny Nom. 





The angle of a countersunk screw 
20200119 

From Barbie: I need to be able to verify the angle used for the head of a countersunk screw.
I have the diameter of the head, diameter of the shank and height between the
two. I assume it would be considered a frustum.
For example:
A standard 90 degree metric flat head screw in an M2 diameter has a head diameter of 3.65mm,
the actual thread diameter is 1.98mm and the height of the head is 1.20mm.
How can I prove that it is a 90 degree angle? Answered by Harley Weston. 





Investigating y = (2)^x 
20200113 

From Gonzalo: This is not precisely a maths question, but it is formulated based on my maths curiosity. Fidgetting with my new graphic calculator, I started graphing things and had the idea to graph $y=(2)^x.$
The result surprised me, and I thought a little bit about it, stored it on the back of my brain, and promised myself to look deeper into it someday. Answered by Harley Weston. 





What is the smallest 4 digit number? 
20200110 

From Ullas: What is the smallest 4 digit number? Answered by Penny Nom. 





The difference between two number is 7 
20200107 

From Jaypercey: the difference between two number is 7 find the two number if the larger 3times the smaller Answered by Penny Nom. 





What do you call a 43sided polygon? 
20200106 

From Alniko: What do you call a 43sided polygon and what is its interior angle's total measure? Answered by Penny Nom. 





The equation of a line 
20200105 

From coco: Good afternoon
If relationship between total cost and the number of units made it linear ,and if costs increases by 7$ for each additional unit made ,and if the total cost of 10 units is 180$ .
Find the equation of the relationship b/n total cost (Y) & number of unit made (x). Answered by Penny Nom. 





Dividing the tips 
20200102 

From Pat: trying to figure out division of tips I have 3 full time employees 40 hrs a week and 1 part time worker 12 hours a week what percentages do i give them to give them appropriate tips :) Answered by Harley Weston. 





A circle, a point, and a tangent line 
20191231 

From Faisal: A circle has radius 10 units and passes through the point (5,16). The xaxis is a tangent to the circle. Find the possible equations of circle? Answered by Penny Nom. 





Sabrina's age 
20191231 

From Nakyi: The sum of Sabrina’s age and twice her sister’s age is equal to their mom’s
Age. If Sabrina’s sister is two years older than her and their mom is 37, how old is Sabrina? Answered by Penny Nom. 





81^5 as a power of 3 
20191229 

From NA: How do we turn 81^5 into the power of 3? Answered by Harley Weston. 





A scale drawing 
20191228 

From Boris: If the scale drawing of a car park is drawn to a scale of 1cm representing 7m and the car is 133m by 93m, find the length of the drawing Answered by Penny Nom. 





Partitions of a set 
20191221 

From Ghani: 1. Are set partition "sets"?
2. If they are so then, why are both {{a}{b,c}} and {{a,b}{c}} said to be valid partitions of A ={a,b,c}
despite them having different elements?
(I understand that set are equal if they have the exact same elements).
Thank you! Answered by Harley Weston. 





10 miles in 2 minutes 
20191220 

From james: how fast would you be traveling to go 10 miles in 2 minutes? Answered by Harley Weston. 

