Tutors Answer Your Questions about Linear-equations (FREE)
Question 1208974: While waiting for your car to be fixed, you and your friends go to Dim Sum Restaurant for food
(the popcorn and pretzels were not enough). All small dishes cost the same and all large dishes
cost the same. Before tip, your bill of 3 small dishes and 5 large dishes was $28.20. A bill at
another table for 4 small dishes and 3 larges dishes was $23.30. How much is each a small and
large dish alone?
Click here to see answer by math_tutor2020(3816) |
Question 1209272: Write an equation of the line in slope-intercept form.
A line graphed on a coordinate plane. The x-axis ranges from negative 3 to 5, in increments of 1. The y-axis ranges from negative 1 to 7, in increments of 1. The line passes through the points at ordered pair 0 comma 5 and ordered pair 3 comma 4.
An equation is:
Click here to see answer by josgarithmetic(39617) |
Question 1209272: Write an equation of the line in slope-intercept form.
A line graphed on a coordinate plane. The x-axis ranges from negative 3 to 5, in increments of 1. The y-axis ranges from negative 1 to 7, in increments of 1. The line passes through the points at ordered pair 0 comma 5 and ordered pair 3 comma 4.
An equation is:
Click here to see answer by MathTherapy(10552)  |
Question 1209272: Write an equation of the line in slope-intercept form.
A line graphed on a coordinate plane. The x-axis ranges from negative 3 to 5, in increments of 1. The y-axis ranges from negative 1 to 7, in increments of 1. The line passes through the points at ordered pair 0 comma 5 and ordered pair 3 comma 4.
An equation is:
Click here to see answer by greenestamps(13200)  |
Question 1199722: Describe the transformation for this problem. There may be more than one(max you can have with only changes to a and d are three).
Given f(x) = x, describe the transformation for g(x) = -2 • f(x) - 1.
Click here to see answer by textot(100) |
Question 1198769: what are the 2 points and slope for this question ?
Connor uses a gift card to buy milkshakes for himself and his friends Thursday after he and a friend order the balance on Konners gift card was $22.45 Saturday after he and four friends ordered he had a balance of $6.70 on his card determine the cost of each milkshake.
I need help finding
1 . 2 points
2. rate of change or slope
3. Dependent variable
4 independent variable.
Click here to see answer by textot(100) |
Question 1198171: Consider a chef who must plan a banquet. Possible menu items and the cost data presented below:
Item Cost ($) Per Serving
Appetizers
A 0.25
B 0.30
C 0.35
Salads
X 0.25
Y 0.45
Vegetables
P 0.20
Q 0.15
R 0.40
Main Meals
1 1.25
2 2.50
3 3.00
The banquet is to consist of:
A. at least one appetizer;
B. exactly one salad;
C. at least one but no more than two vegetables; and
D. exactly one main meal.
The chef has been advised to select items from the menu which will minimize
total cost of the banquet. All decision variables take the form of the binary
numbers only.
Instructions:
i. Write mathematical form of the inequalities of all the constraints. (5)
ii. Write mathematical form objective function (5)
iii. Tabulate your problem into the solver (5)
iv. Using Excel Solver, solve the problem and interpret your solution (5)
Click here to see answer by onyulee(41) |
Question 1192362: Find the equation of the line in standard form.
1.) a = -8 and b = 2
2.) a= 4 and b = 8
3.) m = 5 and b = -8
4.) m = 3 and (5, -2)
5.) (-1, 9) and (-4, 3)
Find the equation of the line in general form.
1.) m = 1/3 and (-4, -8)
2.) m = 2 and b = 5
3.) a= 12 and b = -9
4.) a= 3 and b = 6
5.) (5, 7) and (3, 2)
Click here to see answer by CPhill(1959)  |
Question 1186852: LINEAR PROGRAMMING
The campus store sells dessert, Sobolo drink and Brukina drink. The Sobolo cost GH₵1.90 and the Brukina cost GH₵2.25. They sell the Sobolo drink for GH₵5.00 and the Burukina for GH₵6.00. They can obtain no more than 100 Sobolo and 75 Burukina per week. To meet the demands, they have to sell a total of at least 120 of the two drinks together. They cannot package more than 150 per week.
(i) Formulate this problem in terms of determining the profit- maximizing combination of the two drinks.
(ii) Solve the problem graphically.
(iii) How many of each should they sell to maximize profit?
(iv) Which constraints are binding?
(v) Determine the slack materials
(vi) Interpret your answers obtained in (v) above.
Click here to see answer by ikleyn(52780)  |
Question 1186203: A food factory is making a beverage for a customer from mixing two different existing products A and B. The compositions of A and B and prices ($/L) are given as follows,
Amount (L) in /100 L of A and B
Lime Orange Mango Cost ($/L)
A 3 6 4 3
B 7 4 8 11
The customer requires that there must be at least 5 Litres (L) Orange and at least 5Litres of Mango concentrate per 100 Litres of the beverage respectively, but no morethan 6 Litres of Lime concentrate per 100 Litres of beverage. The customer needs atleast 100 Litres of the beverage per week.
(a) Explain why a linear programming model would be suitable for this case study
(b) Formulate a Linear Programming (LP) model for the factory that minimises the total cost of producing the beverage while satisfying all constraints.
(c) Use the graphical method to nd the optimal solution. Show the feasible region andthe optimal solution on the graph. Annotate all lines on your graph. What is the mini-mal cost for the product?
Note: you can use graphical solvers available online but make sure that your graph isclear, all variables involved are clearly represented and annotated, and each line is clearlymarked and related to the corresponding equation.
(d) Is there a range for the cost ($) of A that can be changed without a ecting the opti-mum solution obtained above
Click here to see answer by CPhill(1959)  |
Question 1181198: A piece of machine is purchased for $1,000,000. Accountants of the firm decided to use straight line
method with the machine being depreciated in 12 years and have an estimated salvage value of
$123,000. Letting V is equal to the book value of the machine and t is the age of machine,
a) Determine the function V = f(t)
b) Determine the book value of machine after 8 years & 11.5 years by using the function
determined in part a
Click here to see answer by CPhill(1959)  |
Question 1180957: A local dairy association enlists the help of a marketing research firm to predict the demand for milk. The research firm finds that the local demand for milk can be predicted the equation q=-4000p+10000, where p represents the price quarter and q represents the number of quarters purchased per week.
Graph the equation.
Identify the slope and q intercept.
Interpret the meaning of slope and q intercept in this application.
Click here to see answer by CPhill(1959)  |
Question 1179833: You are attending Thanksgiving at your family member's house and agreed to bring two side dishes with you; potatoes and corn. You are on a budget though and can only spend $30 in total. You determined that you need at least 10 pounds of food to have enough for all your relatives. Potatoes cost $0.75 per pound and corn costs $1 per pound. The preparation time to peel each pound of potatoes is 15 minutes and to shuck each pound of corn takes 9 minutes. You absolutely hate preparing food and want to minimize the amount of time you need for it. Use the variable "p" to represent number of pounds of potatoes and "c" to represent number of pounds of corn.
a) State what your objective function is, in words, and then write out an equation that represents it.
b) Write out your constraints for the cost and quantity as inequalities. There should be 4 constraints in total.
Can you please explain me this homework question step-by step?
Click here to see answer by ikleyn(52780)  |
Question 1179365: A Company manufactures two different products, A and B. Each unit of product A costs $6 to produce and each unit of product B costs $4. The Company insists that total costs for the two products be $500.
(a) Define the cost equation which states that the total cost of producing x units of product A and y units of product B equals $500
(b) Assuming the Company has agreed to fill an order for 50 units of product A, how many units of product B should be produced if total costs are to be kept at $500?
Click here to see answer by CPhill(1959)  |
Question 1176942: Many people believe that there is a negative relationship between the amount of time students play video games each week and their GPA.
x 10 3 0 2 5 4 7
y 1.5 2.4 3.2 3.5 2.7 3 2.1
Using the data shown above, predict a student's GPA when the student plays video games for 15 hours each week. Round your final answer to two decimal places.
What percentage of variation in GPAs can be explained by the number of hours students' play video games each week? Round your final answer to two decimal places.
Click here to see answer by CPhill(1959)  |
Question 1176842: Many people believe that there is a negative relationship between the amount of time students play video games each week and their GPA.
x 10 3 0 2 5 4 7
y 1.5 2.4 3.2 3.5 2.7 3 2.1
Write the regression equation below. Round all numbers to four decimal places.
y hat =
Using the data shown above, predict a student's GPA when the student plays video games for 15 hours each week. Round your final answer to two decimal places.
What percentage of variation in GPAs can be explained by the number of hours students' play video games each week? Round your final answer to two decimal places.
Click here to see answer by CPhill(1959)  |
Question 1176614: A school board is investigating various ways of composing faculty for a proposed
new elementary school. They can hire both teachers and aides. The amount of
money spent on salaries each year depends on how many teachers and aides are
hired. The board finds that the average teacher’s salary is $30,000 and the average
aide’s salary is $20,000. Suppose the board finds the following requirements
concerning the permissible number of teachers and aides:
The building can accommodate no more than 50 faculty members
A minimum of 20 faculty members is needed to staff the school
The school cannot be run entirely by aids: there must be at least 12 teachers
For a proper teacher-to-aide ratio, the number of teachers must be at least
two-thirds the number of aides.
It is impossible to hire a negative number of teachers or aides
Find the number of teachers and aides that could be hired that would minimize the
cost to the
district.
Objective Function (Cost): C =
____________________________
Click here to see answer by CPhill(1959)  |
Question 1173214: Shown below is the solution to the linear program for finding Player A's optimal mixed strategy in a two-person, zero-sum game.
OBJECTIVE FUNCTION VALUE = 3.500
VARIABLE
VALUE
REDUCED COSTS
PA1
0.050
0.000
PA2
0.600
0.000
PA3
0.350
0.000
GAINA
3.500
0.000
CONSTRAINT
SLACK/SURPLUS
DUAL PRICES
1
0.000
−0.500
2
0.000
−0.500
3
0.000
0.000
4
0.000
3.500
a.
What is Player A's optimal mixed strategy?
b.
What is Player B's optimal mixed strategy?
c.
What is Player A's expected gain?
d.
What is Player B's expected loss?
Click here to see answer by ikleyn(52780)  |
Question 1174381: Cost, Revenue & Profit
For these problems, x will represent the number of items and y will represent the money.
The fixed costs for a certain item are $165 per week. The cost to produce each item is $3 per item.
Using this information, what is the cost equation? Give your answer in slope-intercept form:
The retailer intends to sell each item for $10/item.
Using this information, what is the revenue equation? Give your answer in slope-intercept form:
If in this week 28 items are made, and all items are sold in the week, what are the total costs to the retailer?
Cost = $
What is the revenue from selling 28 items?
Revenue = $
Finally, what is the profit for this retailer?
Profit = $
Box 1 & 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question.
Click here to see answer by CPhill(1959)  |
Question 1174253: The unit cost per gizmo is $30,the fixed cost for making gizmos is $1,200. 60 gizmos must be sold in order to break even.
-Find linear cost function
-Find linear revenue function
-Find linear profit function
Show work with all steps
Click here to see answer by CPhill(1959)  |
Question 1173267: Shown below is the solution to the linear program for finding Player A's optimal mixed strategy in a two-person, zero-sum game.
OBJECTIVE FUNCTION VALUE = 3.500
VARIABLE
VALUE
REDUCED COSTS
PA1
0.050
0.000
PA2
0.600
0.000
PA3
0.350
0.000
GAINA
3.500
0.000
CONSTRAINT
SLACK/SURPLUS
DUAL PRICES
1
0.000
−0.500
2
0.000
−0.500
3
0.000
0.000
4
0.000
3.500
a.
What is Player A's optimal mixed strategy?
b.
What is Player B's optimal mixed strategy?
c.
What is Player A's expected gain?
d.
What is Player B's expected loss?
Click here to see answer by CPhill(1959)  |
Question 1172310: In a design of a highway, a survey for the hill side shows that it is in the following
Formulae :
a) Y= 2X-3 ; Y given the value of X BETWEEN -3.5 TO + 5.5 . State the typical standard straight line formula; Draw Straight Line GRAPH for the two formula and Find the steps in the ratio the Y value of the Gradient.
b) 2Y= 8X-1 ; given the value of X BETWEEN -3.2 TO + 6.3 . State the typical standard straight line formula; Draw Straight Line GRAPH for the formula and Find the steps in the ratio the Y value of the Gradient.
Click here to see answer by CPhill(1959)  |
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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045
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