Tutors Answer Your Questions about Linear Algebra (FREE)
Question 99618: The following question is actually related to Chemical Equilibrium, but in order to solve that I just need help with this little piece of algebra. So, if you don't mind...
24= (x)/(.850-x)
I see in my book that the solution is x=0.861. I just need to know how they get it. The book skips that step!
Thank You.
Click here to see answer by stanbon(57424)  |
Question 99670: Heat of a Campfire: The heat experienced by a hiker at a campfire is proportional to the amount of wood on the fire, and inversely proportional to the cube of his distance from the fire. If he is 20 ft. from the fire, and someone doubles the amount of wood burning, how far from the fire would he have to be so that he feels the same heat as before?
Heat = H
Amount of Wood = W
Distance = D
Constant (k) w(wood) divided by distance (cubed)
Expression: heat = kw/d3
Expression set to a known equation from giving information: kw/d3
Cross multiply w * d3 = w d3 = 2w * 8000
Simplifies to: d3 = 16000
Solve for distance = d = 20 + √2
This answer doesnt seem to satisfy the question, before? It reinforces the fact that the hiker is 20 ft away only?
Click here to see answer by stanbon(57424) |
Question 100307: The area of any triangle is A = (½) * (base) * (height), where height is the perpendicular height from the apex (point on top) to the base line. If the height of a certain triangle is 7 feet longer than its base, what is the polynomial that represents its area?
(Let X = the base.)
Click here to see answer by checkley71(8403) |
Question 100625: You and several of your friends are helping your aunt move. At lunch you volunteer to go out and buy sandwiches. You get 6 chicken sandwiches and 6 beef sandwiches for $30. Later in the afternoon, everyone is hungry again. You go to the same store and buy 4 chicken sandwiches and 8 beef sandwiches for $30.60. What was the price of the chicken sandwich?
Click here to see answer by checkley71(8403) |
Question 101040: A rental car agency charges $29 per day plus 8 cents per mile to rent a certain car. ANother agency charges &18 per day plus 15 cents per mile to rent the same car. If the car is rented for one day in how many miles will the charge from both agencies be equal? Round your answer to two decimal places.
I can't figure out how to form the equations.
Click here to see answer by bucky(2189) |
Question 101040: A rental car agency charges $29 per day plus 8 cents per mile to rent a certain car. ANother agency charges &18 per day plus 15 cents per mile to rent the same car. If the car is rented for one day in how many miles will the charge from both agencies be equal? Round your answer to two decimal places.
I can't figure out how to form the equations.
Click here to see answer by stanbon(57424) |
Question 101689: I am lost about where to put the data on these functions Please help. The question is;
The owners of a landscaping company have determined that their weekly revenue and cost in dollars are given by:
R(x)= 95x and C(x)= 45x + 2,000 where x is the number od lawns serviced.
a. What will revenue and cost be if they service 30 lawns?
b. How many lawns must they service in order to reach their break-even point?
Thank you for your time
Click here to see answer by stanbon(57424) |
Question 101717: I cant seem to figure out what to do with the data given.
Bob owns a watch repair shop. He is open 5 days per week. Over the years, he has determined that the weekly cost in dollars (in dollars) of operating his shop is given by the cost function: C(x)= 2x^2-57x+26 where x is the number of watches repaired.
What is the daily cost of running the shop if the number of watches repaired is 50?
Thank you for your help
Click here to see answer by stanbon(57424) |
Question 101691: can you help:
you are starting a business selling boxes of hand-painted greeting cards. to get started, you spend $36 on paint and paintbrushes that you need. Yoou buy boxes of plain cards for $3.50 per box, paint the cards, and then sell them for $5 per box. how many boxes must you sell for your revenue to equal your expenses? What will your revenue and expenses equal when you break even?
HELP ME PLUEEZE
Click here to see answer by ankor@dixie-net.com(15667)  |
Question 101815: Still having a little trouble with functions. Question is:
Let the supply and demand function for sweaters in dollars be;
supply: p=9q+6
demand: p=76-5q
a. Find the equalibrium demand
b. Find the equalibrium price
Thank you for all your help
Click here to see answer by stanbon(57424) |
Question 101695: I am lost on how find the functions with the information given. Please help. The information given is;
A small family bakery specializes in baking cheesecakes. The fixed cost of production is $245, the marginal cost per cheesecake is $5, and each cheesecake sells for $12. Assume that the cost function is linear.
a. What is the cost function?
b. What is the revenue function?
c. What is the break-even point?
Thank you for your time
Click here to see answer by ankor@dixie-net.com(15667) |
Question 103754: Baking a try of corn muffins takes 4 c milk and 3 c wheat flour. A tray of bran muffins takes 2 c milk and 3 c wheat flour. A baker has 16 c milk and 15 c wheat flour. He makes $3 profit per tray of corn muffins and $2 profit per tray of bran muffins. How many trays of each type of muffin should the baker make to maximize his profit?
Click here to see answer by stanbon(57424) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510
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