Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1202625: If 118 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.50 and total receipts for the concert was $366.25, how many of each went to the concert?
There were adults and children that attended the concert.
Click here to see answer by ikleyn(52748)   |
Question 1202628: A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount of money in the cash register is 540 dollars. How many ten's are in the cash register?
Click here to see answer by ikleyn(52748) |
Question 1202629: The angles of a triangle add up to 180 degrees.
The second angle is 20 degrees larger than the smallest angle.
The third angle is 2 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees).
Click here to see answer by ikleyn(52748) |
Question 1202653: The admission fees at an amusement park are $2.50 for children and $5.20 for adults. On a certain day, 273 people entered the park, and the admission fees collected totaled $1,128.00. How many children and how many adults attended the amusement park that day?
There were children and adults that attended the amusement park that day.
Click here to see answer by Edwin McCravy(20054)  |
Question 1202650: The admission fees at an amusement park are $2.50 for children and $5.20 for adults. On a certain day, 273 people entered the park, and the admission fees collected totaled $1,128.00. How many children and how many adults attended the amusement park that day?
There were children and adults that attended the amusement park that day.
Click here to see answer by ikleyn(52748) |
Question 1203027: The effectiveness of a television commercial depends on how many times a viewer watches it.After some experiments, an advertising agency found that if the effectiveness E is measured on a scale of 0 to 10,then E(n)=2/3×n-1/90×n^2, where n is the number of times a viewer watches a given commercial .By completing the square of E(n),find how many times a viewer should watch the commercial for a commercial to have maximum effectiveness?
Click here to see answer by MathLover1(20849)  |
Question 1203027: The effectiveness of a television commercial depends on how many times a viewer watches it.After some experiments, an advertising agency found that if the effectiveness E is measured on a scale of 0 to 10,then E(n)=2/3×n-1/90×n^2, where n is the number of times a viewer watches a given commercial .By completing the square of E(n),find how many times a viewer should watch the commercial for a commercial to have maximum effectiveness?
Click here to see answer by ikleyn(52748) |
Question 1203061: The cost function in a dress factory is C(x) = 5x + 27 and the revenue function is R(x) = - 3x^2 + 41
x, where x
is the number of dresses sold, in thousands. What number of dresses sold maximizes profit? a.
6000
C.
27 000
b.
8000
d. 81 000
Click here to see answer by greenestamps(13195)  |
Question 1203103: A customer bought 2 fruit cups and 3 sandwiches for US$ 19.
When she bought 6 fruit cups and 8 sandwiches her bill was US $54.
• Write two equations to represent the information given above.
• Calculate the cost for ONE fruit cup.
• Hence, determine the cost per sandwich.
Your friend, Manuel, got this question on a take home assignment. Having solved the pair of equations, he believes that the cost per fruit cup is US$3 and the cost per sandwich is US $5.
a) Write the pair of equations, clearly defining each variable used. [1 mark]
b) Use a graphical method to tell whether Manuel is correct. You must clearly label the solution and explicitly state your position on Manuel’s answer. [2 marks]
c) Show Manuel an alternative approach on your College Algebra syllabus for solving pairs of simultaneous equations. You should name the method you will use and show full working. [3 marks]
Click here to see answer by math_tutor2020(3816) |
Question 1203103: A customer bought 2 fruit cups and 3 sandwiches for US$ 19.
When she bought 6 fruit cups and 8 sandwiches her bill was US $54.
• Write two equations to represent the information given above.
• Calculate the cost for ONE fruit cup.
• Hence, determine the cost per sandwich.
Your friend, Manuel, got this question on a take home assignment. Having solved the pair of equations, he believes that the cost per fruit cup is US$3 and the cost per sandwich is US $5.
a) Write the pair of equations, clearly defining each variable used. [1 mark]
b) Use a graphical method to tell whether Manuel is correct. You must clearly label the solution and explicitly state your position on Manuel’s answer. [2 marks]
c) Show Manuel an alternative approach on your College Algebra syllabus for solving pairs of simultaneous equations. You should name the method you will use and show full working. [3 marks]
Click here to see answer by josgarithmetic(39613) |
Question 1203120: Solve the following quadratic equations (if possible)*True or False* using the emojis as independent variables. Feel free to copy and paste the soccer ball to show your work.
a.) 12⚽ ² - 75 =0
⚽ = ?
b.) 3⚽ ² +7= -7⚽
⚽ = ?
c.) - 5(⚽+3)² +9= -71
⚽ = ?
d.) 3⚽ ² - 5⚽+ 15= - 3⚽ ² +6⚽+50
⚽ = ?
Click here to see answer by math_tutor2020(3816) |
Question 1203120: Solve the following quadratic equations (if possible)*True or False* using the emojis as independent variables. Feel free to copy and paste the soccer ball to show your work.
a.) 12⚽ ² - 75 =0
⚽ = ?
b.) 3⚽ ² +7= -7⚽
⚽ = ?
c.) - 5(⚽+3)² +9= -71
⚽ = ?
d.) 3⚽ ² - 5⚽+ 15= - 3⚽ ² +6⚽+50
⚽ = ?
Click here to see answer by josgarithmetic(39613) |
Question 1203120: Solve the following quadratic equations (if possible)*True or False* using the emojis as independent variables. Feel free to copy and paste the soccer ball to show your work.
a.) 12⚽ ² - 75 =0
⚽ = ?
b.) 3⚽ ² +7= -7⚽
⚽ = ?
c.) - 5(⚽+3)² +9= -71
⚽ = ?
d.) 3⚽ ² - 5⚽+ 15= - 3⚽ ² +6⚽+50
⚽ = ?
Click here to see answer by ikleyn(52748) |
Question 1203125: Brooklyn has a summer window washing business. Based on experience Brooklyn knows that P= - 2x² + 130x - 1500 models her profit, P, in dollars, where x is the amount she charges per window. How much must Brooklyn charge to maximize her profit? What is the maximum profit?
Click here to see answer by ikleyn(52748) |
Question 1203126: At a price of $70 for a blender, Home Outfitters will sell 12 in one month. Market research has shown that for every $5 decrease in the price of a blender, they will be able to sell 3 more each month.
a) Determine the price of a blender that will maximize revenue for the month.
b) Approximately how many blenders will be sold to reach revenue of $1100?
Click here to see answer by ikleyn(52748) |
Question 1203126: At a price of $70 for a blender, Home Outfitters will sell 12 in one month. Market research has shown that for every $5 decrease in the price of a blender, they will be able to sell 3 more each month.
a) Determine the price of a blender that will maximize revenue for the month.
b) Approximately how many blenders will be sold to reach revenue of $1100?
Click here to see answer by Theo(13342)  |
Question 1203132: A ship fires a distress flare up into the air. The height (meters) and the time (seconds) are related by y = - 5 ( x - 2.5) ² + 75
a.) What was the maximum height of the flare?
b.) At what time (in seconds) did the maximum height occur?
c.) At what height was the flare fired from the ship?
d.) When did the flare hit the water?
Click here to see answer by ikleyn(52748) |
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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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