5

Vkctor E picking out some movles rent and he has narrowed down hls selertions chlldren'$ movles_ mysterles; documentarkaad3 torelgn fllms: How many dlfferent c...

Question

Vkctor E picking out some movles rent and he has narrowed down hls selertions chlldren'$ movles_ mysterles; documentarkaad3 torelgn fllms: How many dlfferent comblnations = movies €n nerent Ine Wants all mysterles?CnnnenehnuEnct )PointsTablesKane

Vkctor E picking out some movles rent and he has narrowed down hls selertions chlldren'$ movles_ mysterles; documentarkaad3 torelgn fllms: How many dlfferent comblnations = movies €n nerent Ine Wants all mysterles? Cnnnenehnu Enct ) Points Tables Kane



Answers

Revenues Revenues for a video rental store on a particular Friday evening are $867.50 for 310 rentals. The rental fee for movies is $3.00 each and the rental fee for video game cartridges is $2.50 each. Determine the number of each type that are rented that evening.

So in the given questions, they're questions. These equations shows the number off DVDs rented right for the animated film The number off David itself. 3 60 minus 24. That's X three billion in the week so and it's a 24 plus 80. Next for horror films, like So in the first parties were toe use the graphing utility to find the number of rentals for each movie for each off the 1st 12 weeks off the business. Thank you So with the help off, Laughing ability or directly. Also, we confined thanks like so this represents the week that is X for X equals to one. We have animated films and horror films, right? So for Week one, we have 38 visits on 42. For Week two, we have 312 and 16 this for victory. We have waded 78 mhm for week, for we have to 64 96. Decisions can be calculated by substituting the value effects in these three questions. For example, if you have to do the X equals to one in first equation, we get animated movies as 3 36. If it substitute X equals to one. In the second equation, we get hold of themselves. 42 like so. Similarly, for Mexico's to fight, we have to 40 and 114 light for a week, You see? Yeah. Four weeks. 6789 10. Right. For week six, we have 216 and 1 32 week 7 May 1920 1 50. Week eight. We have 1 68 and 1 68 a week. Nine, We have 1 44 1 86 week, 10 way have won. 20. Don't ask for Week 11. And we killed here 96 72 and 222 and 2 48. So this is the table for the devotees rented, right? So this is the solution for the first for the party now coming to the second part way have been asked to use the result off party to determine the solution off. System off the questions, like some time here from this table. We can observe that. Yeah, for a week eight. For we get the number off DVDs rented in animated movies and horror movies. Both are equal, like, Yeah. So this is the solution for system off equation, right? This is part B. So exit last wait is the solution for the system of equations. Now we have to calculate this result biologically mattered. Right? So we have two equations. We can quit both the equations. So we get the 60 minus 24 X. Is it close to 24 plus 80. Next. Right itself. On the situation, we get access. Traitor T six by 42. That is it. That's access. It was to eat. Yeah, right. So this is the solution for part C Now, in fact, then we have to compare that just so here we can see that for part B X equals to eight for part C is also X equals 28 Right. So the boat dancers calcium. Right. So in the next part, that s C way have to interpret the results. Right? So when the number of animated and horror films rented a boat 1 68 Mexico's to eat like so way can see that the solution is when number off and in my dad. Yeah, and harder fence, then data. Yeah, Same. Then the solution is that you'd like sexy close to eight

Yeah, revenue for movie rental store on a friday night Was $867.50 for 310 rentals. And the rental fee for movies is $3 and the video game fee rental is 250 according to determine how many movies and how many video games were rented on that friday night. So we know 310 rentals were rented. So that means That the movies, the number of movies rented plus the number of video games equals 310. I'm using em for movies and v for video games. That makes it easy to determine which is which. And we know that each movie was $3. So three times am Plus 2.5 V. Each video game was to 50 equals our total amount earned of 867 50 over here. On M plus V equals 3 10. I'm going to subtract the from each side and we get em equals 310 minus B. This allows me to use substitution to solve this system of linear equations. This whole expression represents M So we're going to say three times 310 minus V plus 2.5 V equals 8 67.5. Three times 310 is 930 minus three. V plus 2.5 V equals 8 67.5. We get I'm going to combine my leg terms at this 0.930 then we have minus three V plus 2.5 V. So we're going to get minus 0.5 B Equals 8 67.5. Subtract 930 from both sides. We get negative 0.5 V equals 8 67.5 minus 930 is negative 62.5, divide both of those by negative 0.5. And we get v equals 125. So 125 video games were rented that night. We're going to go back over here. M therefore equals 310 minus V, which is 125 So m equals 185. So 185 movies were rented on that Friday night. So the solution to the system of linear equations for the movies plus video games equals 310 and the revenue earned was $3 per movie plus $2.50 per video game equaled $867.50 was 185 movies And 125 video games.

So it started off this problem by writing down everything I know. So I know what that rectangular tables, conceit six people each and cost $28. Roundtables conceit. 10 people each and cost would be $2. We need to seat 250 people total. We only have 15 rectangular tables and we need 35 tables toe at most. So to begin, I'm going to write ups and variables. I want to set X equal to the number of rectangular tables. Why? Equal to the number of roundtables and Z equal to my total cost. And in this case, I'm looking for minimum cost. Now I'm going to have to write my objective function, which starts with Z equals No. I multiplied the cost of the rectangular tables, which would be 28 by the number of rectangular tables, which is Tex plus the same thing for roundtables 52 wine. And now we need to write down my constraints. So we know that the number of tables can't be negative. So X is going to be greater than zero, and so is wide. Now, looking up here, I know I need to see 250 people. So the number of people seated at each rectangular table, plus the number of people seated at each round table, must be greater than or equal to 250. Now, with in here, we only have 15 rectangular tables, so I limit X to be less than or equal to 15. And now, on Lee, 35 tables fit in the banquet hall. So x plus y must be less than or equal to 35. Now that I have all of my constraints, I want to start graphing this. So since X and Y are both greater than or equal to zero, we know that this will be in our first quadrant and I'm gonna start by simplifying this equation here. So I'm going to subtract six x from both sides, and I end up with 10 y is greater than or equal to negative six x plus. To do. I divide both sides by 10 and I isolate why to get why schools was greater than or equal to negative 3/5 x plus 25. And now I can graft this with my wind er cept at 25 and my ex injure shift is approximately at 41.7. Moving on I have X is less than or equal to 15. So we know that that's going to be a vertical line with the X intercept of 15. Now I have X Plus y is less than or equal to 35 which I can simplify, too. Why is less than or equal to Negative X plus 35. So my Y intercept occurs at 35 and so does my ex intercept. Because my slope is negative one. And now I'm going to shade in the area. Where are feasible points life. So my next step is to find the coordinates of each of the corner points. So here you have a quitter point with the coordinates. 0 25 appear, we have 0 35 and over here, I'm going to have to use an equation to find that why value? But I know that X value is 15. So I find the equation of this line which would be this equation. Here I plug in 15 for X. So why equals negative 15 plus 35. So why equals 20 and I know this point is 15. 20. I do the same thing down here, but with this line, which would be this one. Up here I plug in 15 for X, and I get why equals negative nine plus 25 or why equals 16. So that point would be 15 comma 16. Now that you have all the coordinates of my corner points, I take the X and the Y values. I want to plug them back into my objective function to solve for Z at each point. So at 0 25 z equals 28 times zero plus 52 times 25 which is 1300 and for 0 35 Z is equal to zero times 28 plus 52 times 35 which is 18 20 and at 15 20. Z equals 15 times 28 plus 52 times 20 which gives me 14 60. And at 15 16 Z is equal to 15 times 28 plus 52 times 16 which gives me 1252. And now, since we're looking for the minimum, I want to look for the lowest number here, which would be 1252. So our minimum price of the 12. $52 which occurs at the 0.15 16. And since 15 is our X value and 16 is our Y value and we have appeared Rx and R wise. We know that we have 15 for tingle er and 16 roundtables.

Okay, so, um, this this one's talking about rental. So the number of rentals of animated films is given to us as an equation of 360 minus 24 x, where X is the number of weeks, the revenue for horror films. He's gonna start at 24 and gain 18 for every week. One thing I like to do for word problems is identify the variables and the problem's access weeks in capital ours rentals and that way, like you can use that to know what the questions asking force apart. A. Just ask how many weeks that wants us to solve her acts for the rentals to be equal. So since we already have, rentals are questions in terms of rentals, we could just solve for acts by doing setting the two equations equal to each other. So 3 16 minus 24 acts is equal to 24 plus 18 x. So, solving that if I add 24 extra both sides and I subtract 24 on both sides, I'm gonna have 3 36 is equal to 40 racks. Now, if I divide 3 36 by 42 this is gonna give us the axe are a number of weeks is just equal. Thio eight. After that just says after eight weeks, these two should be equals. That's part a. So part B says use a table to come up with our answer. So let's ah, currently slide would use a table. So we have 360 minus 24 X and we have 24 plus 18 x. So the way I like to have a table, so is this. First, the second column will be our rentals for animated, our third combi rentals for horror. So we know we can expect is gonna go to eight. So Oh, my, I can't get this table to go toe to seven on one side. So let's come over here so x as eight do are animated and our for horror. Okay, so after one week, we're gonna be at 3 36 for animated and after one week will be at 30 to 42 for her. Is there not equal yet? So just keep going. So subtract 24 we're gonna be a 3 12 Adding 18 will put us at 60 for a week, too. Getting closer, but nowhere near where we need to be. So a week. Three, we're gonna have to 88 and 78. Hey, Week four, we're gonna have to 64 and we four will be at its 96. We cry will be at 2 40 and 1 14 Week six will be a 2 16 Okay. And 1 32 Week seven will be at 1 92 in 1 15 Okay, this is where we expect things to work out. Ah, our horror movies will be at 1 68 as well Are animated films. So again at week eight that that is where our two rentals become equal. So, yes, that that matches what we found for Rx after eight weeks, that's when they will be equal. And then they will be equal at 168 rentals per as we found in part B. So thank you very much.


Similar Solved Questions

5 answers
Block of kg Ialls from vertical cliff of hecight [OUm- Calculate: tltee velocity of the block righut belore hits tuc gtoutd? Calculate tu: Work clote Ilc block br gravity" Is tlis work negative, [uxsitive Yae explain wly? Assua tlie block didu Uulc after it hits tle greunx; @aleullate Ghhe velocity of Eanth. Glsecd bi" impact_ the direction odha Treclclg Wlerliayiletlter the collision with tluc' blo k Mass of Eutth Io"et
block of kg Ialls from vertical cliff of hecight [OUm- Calculate: tltee velocity of the block righut belore hits tuc gtoutd? Calculate tu: Work clote Ilc block br gravity" Is tlis work negative, [uxsitive Yae explain wly? Assua tlie block didu Uulc after it hits tle greunx; @aleullate Ghhe velo...
4 answers
1 1 0 8 $ 2 1 "nd 1 1 1 leralion. L 0 1 1 1 1 4 Draw _ 1 of mass 0 ? "NSI-1 1 ension 18 Lacceleration 5 1 2 Kinetic UOISUJI massless , 8 the 'pqp 8 1 1
1 1 0 8 $ 2 1 "nd 1 1 1 leralion. L 0 1 1 1 1 4 Draw _ 1 of mass 0 ? "NSI-1 1 ension 1 8 Lacceleration 5 1 2 Kinetic UOISUJI massless , 8 the 'pqp 8 1 1...
5 answers
Stereo turntable rotating at 33.3 rpm (revlmin) is shut off The turntable sloxt with constant angular acceleration and comes t0 rest in 45 seconds Determine the angular acceleration ol the turntable How many revolutions docs it make before stopping?
stereo turntable rotating at 33.3 rpm (revlmin) is shut off The turntable sloxt with constant angular acceleration and comes t0 rest in 45 seconds Determine the angular acceleration ol the turntable How many revolutions docs it make before stopping?...
5 answers
For the molecules below: (4) determine if it has additional resonance form(s), (2) if YES draw these remaining forms (including artows (0 show the electron movement) or (3) if NO explain why resonance is not possible (5)
For the molecules below: (4) determine if it has additional resonance form(s), (2) if YES draw these remaining forms (including artows (0 show the electron movement) or (3) if NO explain why resonance is not possible (5)...
5 answers
Which list of characteristics correctly describes a peptide bond? restricted rotation around the C-N bond, 1209 bond angles, planar geometryunrestricted rotation around the C-N bond, 10g* bond angles, tetrahedral geometryrestricted rotation around the C-N bond, 109" bond angles, tetrahedral geometryunrestricted rotation around the C-N bond, 120* bond angles, planar geometry
Which list of characteristics correctly describes a peptide bond? restricted rotation around the C-N bond, 1209 bond angles, planar geometry unrestricted rotation around the C-N bond, 10g* bond angles, tetrahedral geometry restricted rotation around the C-N bond, 109" bond angles, tetrahedral g...
5 answers
Find an expression for cubic function f It f(1) = 12 ad (-1) = K0) (2) - 0. (x) = -6? + 612 + 122 Enhanced Feedbock
Find an expression for cubic function f It f(1) = 12 ad (-1) = K0) (2) - 0. (x) = -6? + 612 + 122 Enhanced Feedbock...
5 answers
[9 perbi] Hudy fonnd that thc mean migratiou distarce of the grccu sea furle was 2200 kilomciers and thc standard dcviation #as 625 klomiclers Assuming that the distances arc norally distributed. find the distance of less than 2400 kilomclers For full probability tlat a Nurdotily selected gren turtle uigraics credit YOu Llust calculate your z score (show # filled-out fonnula), show labeled sketch of the nOrul distribuboIL uId -hnde tle conert uea
[9 perbi] Hudy fonnd that thc mean migratiou distarce of the grccu sea furle was 2200 kilomciers and thc standard dcviation #as 625 klomiclers Assuming that the distances arc norally distributed. find the distance of less than 2400 kilomclers For full probability tlat a Nurdotily selected gren turtl...
5 answers
Find the point (x, Y) on the unit circle that corresponds to the real number t t = 2n/3(x, Y)
Find the point (x, Y) on the unit circle that corresponds to the real number t t = 2n/3 (x, Y)...
5 answers
Points) Set up, but do not solve, the definite integral that would produce the variance of the distribution_Points) Suppose the solution to the integral you set up in part e was 3.19. What is the standard deviatior of the distribution?
Points) Set up, but do not solve, the definite integral that would produce the variance of the distribution_ Points) Suppose the solution to the integral you set up in part e was 3.19. What is the standard deviatior of the distribution?...
5 answers
Point)Find the solution r(t) of the differential equation with the given initial condition:K (t) = (sin 3t,sin 3t,9) ,r(0) = (8,5,2)r(t) =
point) Find the solution r(t) of the differential equation with the given initial condition: K (t) = (sin 3t,sin 3t,9) ,r(0) = (8,5,2) r(t) =...
5 answers
Question Given that PIA) = 0.4, P(B) = 0.7, and P(An B) =0.3. What Is the probabllity 'P(AC nBi? 04090 06.0.40 60.25 40.20Cld Sutw and SLNnK @udaubmit. Click Sate All Ansuxrs t0 sque all answers
question Given that PIA) = 0.4, P(B) = 0.7, and P(An B) =0.3. What Is the probabllity 'P(AC nBi? 04090 06.0.40 60.25 40.20 Cld Sutw and SLNnK @ udaubmit. Click Sate All Ansuxrs t0 sque all answers...
1 answers
1:53Il 36DoneQ6.docx6. (10 points) Modify the model Inly) = Bo Biln(x1) + B2x2 B3x3 B4x4 u, to test HO: B1 = 1, B2 = 0, 83 = 0, B4 What would be the conclusion of your test if the SSResidual for the original regression (i.e. the not- modified) is equal to 1.822 and the SSResidual for modified regression is 1.880 You also know that n = 88
1:53 Il 36 Done Q6.docx 6. (10 points) Modify the model Inly) = Bo Biln(x1) + B2x2 B3x3 B4x4 u, to test HO: B1 = 1, B2 = 0, 83 = 0, B4 What would be the conclusion of your test if the SSResidual for the original regression (i.e. the not- modified) is equal to 1.822 and the SSResidual for modified re...
5 answers
Question 14points Save AnswerGive the IUPAC name of the following compound?2,4-Dimethyl-3-pentanone Ethyl t-butyl ketoneDiethyl propyl ketone2-Methyl-3-pentanone3-pentanone
Question 14 points Save Answer Give the IUPAC name of the following compound? 2,4-Dimethyl-3-pentanone Ethyl t-butyl ketone Diethyl propyl ketone 2-Methyl-3-pentanone 3-pentanone...
4 answers
Given 2101 design with Factors [A,B.CDEF,G H,JK] and Generators G-ABC, H=DEF , J=ACF _ K=BDFHow ManV TIS per replicate will this design be? How many factors arC heing tested? Wat are (e Defining Words in this design?What is the Resolution of this Design? List the aliases of BF
Given 2101 design with Factors [A,B.CDEF,G H,JK] and Generators G-ABC, H=DEF , J=ACF _ K=BDF How ManV TIS per replicate will this design be? How many factors arC heing tested? Wat are (e Defining Words in this design? What is the Resolution of this Design? List the aliases of BF...
5 answers
Organic Chemistry: What would be the structure and molecular form of a carboxylic acid obtained from the basic hydrolysis of nitrile CH3CH2CN? Please, I would appreciate clear and simple steps to help me understand.
Organic Chemistry: What would be the structure and molecular form of a carboxylic acid obtained from the basic hydrolysis of nitrile CH3CH2CN? Please, I would appreciate clear and simple steps to help me understand....
5 answers
ExperimentPopulation(s)Description: Unit: Accuracy:DataToolsProcedures/ ConditionsAssumptionSize: Randomness:Sample6. The observations (i.e. data set) are: Serial No_ Data collected'Statistical Calculations:
Experiment Population(s) Description: Unit: Accuracy: Data Tools Procedures/ Conditions Assumption Size: Randomness: Sample 6. The observations (i.e. data set) are: Serial No_ Data collected 'Statistical Calculations:...
5 answers
Why is Gram staining considered a differential staining process?What are some reasons a Gram positive cell might appear Gram negative?
Why is Gram staining considered a differential staining process?What are some reasons a Gram positive cell might appear Gram negative?...
5 answers
Survey on campus revealed that 869 of the students felt that- new attendance pollcy was unfalr If a student Is randomly esked to give &n opinion of the nev attendance pollcy; find the probabllity that the student will elther think It's fair or have no opinlon,Tht prabablllty that the student will elther tnlnk the policy talr Or have na opinion Is
survey on campus revealed that 869 of the students felt that- new attendance pollcy was unfalr If a student Is randomly esked to give &n opinion of the nev attendance pollcy; find the probabllity that the student will elther think It's fair or have no opinlon, Tht prabablllty that the stude...
5 answers
60. OnL SPiuL In calm waters, the oil spilling from the ruptured hull of a grounded tanker forms an oil slick that is circular in shape. If the radius r of the circle is increasing at the rate of 30 r' (t) V2t + 4 44^480 } 2 !,fumin t min after the rupture Occurs, find an expression for the radius at any time [ How large is the polluted area 16 min after the rupture occurred? 290" Hint: r(0) = 0
60. OnL SPiuL In calm waters, the oil spilling from the ruptured hull of a grounded tanker forms an oil slick that is circular in shape. If the radius r of the circle is increasing at the rate of 30 r' (t) V2t + 4 44^480 } 2 !, fumin t min after the rupture Occurs, find an expression for the ra...

-- 0.019487--