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A Weighty Problem |
1999-06-17 |
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From A parent:
When using a balance scale, weights can be placed on either side of the scale. For example, if a 10 pound weight provides a counter balance to an object and a 7 pound weight, then the object must weigh 3 pounds. What four weights can be used to weigh objects of 1, 2, 3 ... 38, 39, 40 pounds?
Answered by Penny Nom. |
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Even and Odd Function |
1999-06-17 |
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From Kent:
There is one function with the domain of all real numbers that is both even and odd. Please give me the answer to this question before I go insane.
Answered by Penny Nom. |
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Liquid capacity |
1999-06-15 |
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From Bernard Antill:
Would you please tell me how many litres of water in a swimming pool that is 24 feet long, 16 feet wide & 4 feet deep. I would appreciate you showing the formula for this calculation. I am a 74 year old male and I cannot find a formula in which I have any faith! I would also appreciate the answer in Imperial gallons.
Answered by Penny Nom. |
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Slopes of curved lines |
1999-06-09 |
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From Stephen Ehrler:
When one plots the graphs of y=2x, y=3x, y=xx When each of these graphs pass through point (0,1) do they have the same slope? I know they are different lines but is it possable that they have the same slope at point (0,1).
Answered by Harley Weston. |
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Measuring the fourth dimension |
1999-06-07 |
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From Suzanne Hall:
Hi! The other day, two of my students asked a very interesting question: Is the fourth dimension measured with hypercubes? Their reasoning went like this: Lines are 1D and are measured with line segments, which are part of a line. Planes are 2D and are measured with squares, which are part of a plane. Space is 3D and is measured with cubes, which are part of space. So, logically, hypercubes would be used to measure the fourth dimension.
Answered by Chris Fisher. |
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A trig problem |
1999-06-03 |
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From Stu Barnes:
cos(theta) / 1+ sin(theta)=sec(theta)-tan(theta) I've being having trouble with this one on my correspondance course.
Answered by Harley Weston. |
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The three cousins |
1999-06-01 |
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From Irena:
I have three cousins on my dad's side. The product of their ages is 84. Next year the youngest will be 1/4 the age of the middle cousin. In 2 years from now, the oldest will be twice the current age of the middle. What is the age of my oldest cousin?
Answered by Harley Weston. |
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A problem with powers |
1999-06-01 |
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From Bill:
solve for the variable: 5-x = 25x+6
Answered by Penny Nom. |
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How to carpet a room |
1999-05-31 |
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From Appleby:
A room which is 9X12 is to be covered with carpet but the carpet has been provided in one 8X1 piece and one 10X10 piece. The larger piece is to be cut into two pieces so that the room can be covered in carpet.
Answered by Stacey Wagner. |
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An Invalid Argument |
1999-05-31 |
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From Rod Redding:
Can an invalid argument have a true conclusion? If yes then why?
Answered by Walter Whiteley. |
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Graphing a linear equation |
1999-05-27 |
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From Dylan Bradley:
Im in Grade ten and am doing linear equations, I cann't figure out how to make a chart for questions like y = -2x + 3
Answered by Penny Nom. |
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A circle in a square |
1999-05-26 |
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From Jose V Peris:
A circle is inscribed in a square. The circumference of the circle is increasing at a constant rate of 6 inches per second. As the circle expands, the square expands to maintain the condition of tangency. find the rate at which the perimeter of the square is increasing. find the rate of increase in the area enclosed between the circle and the square at the instant when the area of the circle is 25(pi) square inches.
Answered by Harley Weston. |
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Girth |
1999-05-26 |
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From Carolyn Bulkley:
I am trying to explain to my son (who is in the 8th grade) how to figure girth. I'm afraid I have just confused him. Is there a simply formula to figure the girth of a box. for example: I have a box that is 27" L X 22" W X 21" H.
Answered by Penny Nom. |
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Repeating decimals |
1999-05-21 |
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From Stan:
Hi, I am in Honors Math, and have confronted everyone, including teachers, about repeating decimals. What interests me is the number 0.9... and 1. Everyone says that since there is no number between 0.9...(repeating) and 1, that 0.9... = 1. However, isn't a repeating number a representation of a number, and not a real number? Let's look at it this way. 0.9 is close to 1. 0.99 is closer. 0.99999999999999 is even closer. so, 0.9... is a representation of it's closeness to 1. it's an active number... I don't understand how 0.9... is equal to 1. Please help me prove that 0.9... does NOT = 1.
Answered by Penny Nom. |
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Introductory Algebra |
1999-05-19 |
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From Pat:
(2 + sq. root of 3) x (2 - sq. root of 3) = 1 Please show me the work.
Answered by Harley Weston. |
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