 |
|
|
|
|
|
|
|
|
Ratios |
2001-02-20 |
|
From Louise:
there are 3 people and they decide to share their tips (working in a restaurant) ann gets £180 tony £130 peter £90 total amount is £36 what share should they get.
Answered by Penny Nom. |
|
|
|
|
|
|
Expanding determinants using minors |
2001-02-20 |
|
From A student:
Question:
1) Determinants by expansion by minors. i)
| 1 2 1 2 1 |
| 1 0 0 1 0 |
| 0 1 1 0 1 |
| 1 1 2 2 1 |
| 0 1 1 0 2 |
Answered by Harley Weston. |
|
|
|
|
|
|
A remainder of 1 |
2001-02-20 |
|
From A student:
what is the smallest positive integer which has a remainder of one when divided by 2,3,4,5 and 6
Answered by Penny Nom. |
|
|
|
|
|
|
A pole next to a building |
2001-02-20 |
|
From Robert L. Haun:
A pole 100 feet tall is erected next to a building 10' X 10' X 10' . Object is to cut off the pole so the upper end remains touching the part cut off, while the cut-off portion touches the cutoff point, the edge of the building and the ground. Note assume the pole is touching the building and is "very thin" What is/are the cutoff points?
Answered by Penny Nom. |
|
|
|
|
|
|
Cubic feet |
2001-02-20 |
|
From Frances:
I'm trying to calculate cubic feet from the dimensions of a machine given in inches. Width = 32"
Height = 79.5"
Length = 91.5"
Weight = 3920 lbs Please help? Obviously I've been away from school too long!!
Answered by Penny Nom. |
|
|
|
|
|
|
Un lièvre et un chien |
2001-02-20 |
|
From Ganay Alain:
Un lièvre à 9 sauts d'avance sur un chien. 7 sauts du chien égalent 11 sauts de lièvre. Quand le chien fait 4 sauts , le lièvre en fait 6. En combien de sauts le chien prend-il le lièvre?
Answered by Claude Tardif. |
|
|
|
|
|
|
Law of cosines |
2001-02-20 |
|
From Emily:
I missed a few days of class and I can't figure out how to solve Law of Cosines problems. I have the notes and formulas but I can't figure out how to do the math involved to answer the problems. I am also getting confused about how to use degrees and seconds in the Law of Sine and Cosine. I can't seem to get the correct answers and I don't really know how to solve them and enter them into my TI 86.
Answered by Harley Weston. |
|
|
|
|
|
|
Difference of squares |
2001-02-20 |
|
From Janna:
Hi! I was just wondering how you would factor x2 - 9y2.
Answered by Harley Weston. |
|
|
|
|
|
|
Delivering firwood |
2001-02-20 |
|
From Jackie:
Two college students earn extra money on weekends by delivering firwood in thier pickup truck. They have found that they can sell x cords per weekend at a price of p dollars per cord, where x=75-3/5 p. The students buy the firewood from a supplier who charges them C dollars for x cords to the equation C=500+15 x+1/5 x2.
a) find a function f such that P=f(p), where P dollars is the profit per weekend for the students if they charge p dollars per cord.
b)find the profit P dollars if p=$95
Answered by Penny Nom. |
|
|
|
|
|
|
g(g+5)=0 |
2001-02-20 |
|
From Jenna:
g(g + 5) = 0
Answered by Penny Nom. |
|
|
|
|
|
|
The area of platts |
2001-02-20 |
|
From Steve:
I have to calculate the areas of different "platts" of land from a map, and the only thing I have are the four side measures. There are some cases where no sides are parallel, no lengths the same, and no angles are given, and I was wondering how to calculate the area of such figures. I've attached a rough sketch of a typical platt's shape.
Answered by Walter Whiteley. |
|
|
|
|
|
|
Dividing polynomials |
2001-02-19 |
|
From Janna:
I have two questions involving dividing polynomials by polynomials. Here's the first one: Two factors of 12a4 -39a2 + 8a - 8a3 + 12 are a - 2 and 2a + 1. Find the other factors. The other question I'm stuck on is: When 10x3 + mx2 - x + 10 is divided by 5x-3, the quotient is 2x2 + nx - 2 and the remainder is 4. Find the values of m and n.
Answered by Penny Nom. |
|
|
|
|
|
|
Adding functions |
2001-02-19 |
|
From Jackie:
f(x) = x2 + 1; g(x) = x2 - 1 find
a) ((f+g) of h)) (x)
b) ((f-g) of h)) (x)
c) ((f of h) - (g of h)) (x)
Answered by Penny Nom. |
|
|
|
|
|
|
Working on commission |
2001-02-17 |
|
From Jay:
Ron the realtor is offered a job directly out of real-estate school. He has a choice as to which way he will receive his salary the first year.
Salary Plan 1: He would receive a base pay of $2000 per month plus a 3% commission on each sale.
Salary Plan 2: No base pay but a 6% commission on each sale.
Write an equation to determine when it would be better to switch from the first plan to the second plan. Give a one- or two-sentence answer that includes Ron`s sales in a month. Round to the nearest dollar, if necessary.
Answered by Leeanne Boehm and Penny Nom. |
|
|
|
|
|
|
Some fractions |
2001-02-17 |
|
From Lady Bird:
Mr. Bob has 3/4 of a bottle of medicine left. He takes the medicine three times a day. Each dose is 1/16 of the bottle. How many days will it take for Mr. Bob to finish the bottle? My friend gave me a problem to solve and it is so hard. Can you help me solve it? Here it is: If g- 4.8 = 9.66 and e-1/3 = 1/8, what is the sum of g and e? Mariko's mother used ribbon to wrap 3 birthday gifts. She had 3 ribbons and each was 72 inches long. She used 8/9 of the first ribbon, 2/3 of the second ribbon, and 5/6 of the the third ribbon. How many feet did she use?
Answered by Leeanne Boehm and Penny Nom. |
|
|
