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Simplifying with negative exponents |
2006-05-02 |
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From Kristine:
I am having a hard time understanding factoring and multiplying
polynomials. I have a couple of problems I just can't get, can you
please help me?
Simplify, do not use negatives in the answer:
(5a-1b-7)(-2a4b2)
and:
(5x2y-7z)(-4xy-3z-4)
Answered by Stephen La Rocque. |
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A word problem with fractions |
2006-05-02 |
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From Stuart:
I have 54 1/4 yards of material. i need to cut as many pieces as possible out of it that are 3 1/12 long. how many pieces
will you get and how much is left over?
Answered by Stephen La Rocque. |
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Solving an equation without using algebra |
2006-05-01 |
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From Kenneth:
How can the following be solved without using algebra?
10 times some number is 3 times the same number plus 14.
Answered by Paul Betts. |
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Rate of ladder falling |
2006-04-30 |
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From Harsh:
A ladder 4 m long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 30 cm/s, how quickly is the top of the ladder sliding down the wall when the bottom of the ladder is 2 m from the wall?
Answered by Stephen La Rocque. |
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How much does 1300cc of liquid weigh? |
2006-04-28 |
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From Debra:
How much does 1300cc of liquid weigh, and how is the formula equated?
Answered by Stephen La Rocque. |
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Adding polynomials and counting the terms |
2006-04-28 |
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From Kris:
Suppose that two polynomials, each containing 3 terms, are added. Is it possible for the sum to contain more than 3 terms? fewer than 3 terms? exactly 3 terms? Explain.
Answered by Leeanne Boehm and Steve La Rocque. |
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School bus reliability - a probability question |
2006-04-27 |
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From Peggy:
The school bus arrives at Janet's stop on time on 75% of school mornings. What is the probability it will arrive on time each day in a 5-day week?
Answered by Stephen La Rocque. |
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The last slice of pizza |
2006-04-27 |
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From Lori:
I have a pizza. The radius is 10 inches long.The pizza was cut into 16 equal slices. When one slice was left, my sister and I both wanted it, so we agreed to cut it in half, but I like the crust more than she does, so we decided to cut it the "other way." In other words, the two pieces would not be symmetrical. The inside piece would contain all topping, and the outer piece would contain some topping and some crust.
How far up the radius from the center of the circle will I need to cut so we will both have an equal area of pizza?
Answered by Stephen La Rocque. |
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Ladder and wall |
2006-04-27 |
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From Lori:
A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an angle of 60 degrees with the ground. Find the distance from the base of the ladder to the bottom of the fence.
Answered by Stephen La Rocque. |
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How wide is this runway? |
2006-04-27 |
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From Sam:
A runway is 3.75 miles long and covers a total of 5.6 acres. What is the width of the runway?
Answered by Stephen La Rocque. |
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If the perimeter of a square is 1 foot, what is its area? |
2006-04-27 |
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From Larry:
If the perimeter of a square is 1 foot, its area is how many square inches?
Answered by Stephen La Rocque. |
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Odd-man out coin tossing and probabilities |
2006-04-27 |
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From Kalyan:
When four people toss fair coins, what is the probability that in a given toss there will be one "odd man". That is one person whose coin does not have the same out comes as that of any other members?
Answered by Stephen La Rocque. |
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Pythagorus and cone dimensions |
2006-04-26 |
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From Glynnis:
How do you find the measure of a side that is not the hypotenuse using the Pythagorean Theorem? Also, how do you figure the surface area and volume of a cone when the radius is 5 yards and the height is 8 yards?
Answered by Stephen La Rocque. |
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Percentage of weight |
2006-04-26 |
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From Karen:
How do you calculate percentage of weight lost?
Answered by Stephen La Rocque. |
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Marine shipping - fuel consumption |
2006-04-26 |
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From Sandy:
When a ship is 800 nautical miles from port its speed is reduced by 20%,
thereby reducing the daily fuel consumption by 42 tonnes and arriving in
port with 50 tonnes onboard. If the fuel consumption per hour is given
by the expression (0.136 + 0.001V^3) where V is speed in knots;
Estimate a) reduced consumption per day b) fuel onboard when speed reduced
c) normal consumption for 800 nautical mile voyage d) increase in steaming
time
Answered by Stephen La Rocque. |
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