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Question 1091547: Height of a rectangular box is h cm.Its length is 4 times the height and breadth is 6 cm less than its length.Express the length and breadth of the box in terms of its height?
Click here to see answer by josgarithmetic(39617)

Question 1091571: If x varies inversely with y, and x = 3 when y = 8, find y when x = 4.
Appreciate your help here, thanks!

Click here to see answer by josgarithmetic(39617)

Question 1091570: Please help me with this... thanks.
If y varies inversely with x, and y = 14 when x = 8, find y when x = 7.
Click here to see answer by josgarithmetic(39617)

Question 1091569: The length of the base of a triangle with constant area varies inversely with the height. When the base is 18 cm long, the height is 7 cm. Find the length of the base when the height is 6 cm.
Thank you for the help here. God bless.
Click here to see answer by josgarithmetic(39617)

Question 1091567: A recipe for 2 dozen chocolate cupcakes requires 3 cups of flour. The number of cupcake varies directly with the amount of flour used.
a. Write the direct variation equation for the relationship between the number of cups of flour and cupcakes made.
b. Use the equation to determine how many cups of flour are needed to make 6 dozen cupcakes.
Appreciate your help so much, thanks.
Click here to see answer by josgarithmetic(39617)

Question 1091568: Time varies inversely with speed if the distance is constant. A trip takes 4 hours at 80 km/h. How long does it take at 64 km/h?
Please show me the complete solution. Thanks.
Click here to see answer by math_helper(2461)

Question 1091575: Give the range of the graph of the quadrant function f(x)=x^2 +6x+8

Click here to see answer by KMST(5328)

Question 1091566: Please help me find solution to this problem...
Suppose that y varies directly with x, and when y is 2, x is 3.
a. Write the direct variation equation for the data.
b. Find x when y is 42
Thanks you heaps.
Click here to see answer by rothauserc(4718)

Question 1091565: Please help me find solution to this problem below.
Suppose that y varies directly with x, and when y is 16, x is 8.
a. Write the direct variation equation for the data.
b. Find y when x is 16.
Thanks so much.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1091862: A ball is dropped from a cliff that is 224 feet high. The distance S (in feet) that it falls in t seconds is given by the formula S=16t^2. How many seconds (to tenths) will it take for the ball to hit the ground?
Click here to see answer by Alan3354(69443)

Question 1091864: If an amount of money, called the principal, P, is deposited into an account that earns interest at a rate R, compound annually, then in 2 years that investments will grow to an amount A, given the formula A= P(1+r)^2. If a principal amount of $5000 grows to $6384.50 in two years, what is the interest rate?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1091863: Your company uses the quadratic model y= -11x^2 + 350x to represent how many units (y) of a new product will be sold (x) weeks after its release. How many units can you expect to sell in week 29?
Click here to see answer by Boreal(15235)

Question 1092105: A grassy space is 6 feet by 8 feet. The town wants to add a walking track around this space. If the total area is to be 71 square feet, what should be added to each side of the grassy space? (Round to the nearest hundredth.)
Click here to see answer by ikleyn(52779)

Question 1092161: Y^2 = 4x+5
Y=-4+x
Click here to see answer by Fombitz(32388)

Question 1092180: What is the equations of the line passing through (8,−2) and perpendicular to the line whose equation is x−7y−9=0

Click here to see answer by josmiceli(19441)

Question 1092180: What is the equations of the line passing through (8,−2) and perpendicular to the line whose equation is x−7y−9=0

Click here to see answer by greenestamps(13200)

Question 1092214: The product of two numbers is 36 and their quotient is 9.Find the numbers.
Click here to see answer by josgarithmetic(39617)

Question 1092218: Find two numbers whose sum is 15 and whose product is 54.
Click here to see answer by richwmiller(17219)

Question 1092213: The product of two numbers is 36 and their quotient is9.Find the numbers
Click here to see answer by math_helper(2461)

Question 1092261: i was told solve the quadratic equation
X^2 -9 =0
Click here to see answer by ikleyn(52779)

Question 1092265: Find two numbers whose sum is 11 and whose difference between their squares is 33
Click here to see answer by ikleyn(52779)

Question 1092273: Gerry wants to fence on a square lot.To add more space to your yard, you purchase an additional 8 meters along the side of the property. The area of the lot is now 345 square meters. What are the dimensions of the new lot?
Click here to see answer by josgarithmetic(39617)

Question 1092262: The area of a rectangular field is 94 sq m and its length is four meters longer than its width.Find the dimension of the field.
Click here to see answer by josgarithmetic(39617)

Question 1092272: The sum of two numbers is 15.The sum of their squares is 9 more than 13 times the larger number.Find the numbers.
Click here to see answer by richwmiller(17219)

Question 1092272: The sum of two numbers is 15.The sum of their squares is 9 more than 13 times the larger number.Find the numbers.
Click here to see answer by greenestamps(13200)

Question 1092275: The area of a rectangular field is 94 sq m and its length is four meters longer than its width.Find the dimensions of the field.
Click here to see answer by jorel1380(3719)

Question 1092264: The area of a rectangular field is 94 sq m and its length is four meters longer than its width.Find the dimension of the field.
Click here to see answer by jorel1380(3719)

Question 1092312: Find the y-intercept of the line with gradient -3 that is tangential to the parabola
y = 2x^2-5x + 1.
Click here to see answer by josmiceli(19441)

Question 1092372: Show that the roots of the equation (x-p)(x-q)=2 are real and distinct for all real values of p and q.
Click here to see answer by Edwin McCravy(20054)

Question 1092372: Show that the roots of the equation (x-p)(x-q)=2 are real and distinct for all real values of p and q.
Click here to see answer by ikleyn(52779)

Question 1092430: The population of a City t years after 2000 is represented by the quadratic equation 100t^2+300t+50000. How did the city's population change from 2000 to 2012?
Click here to see answer by josmiceli(19441)

Question 1092468: A vase 25cm tall is positioned on a bench near a wall. The shape of the vase follows the curve y=(x-10)^2, where y is the height of the vase and x is the distance of the vase from the wall.
a. How far is the base of the vase from the wall?
b. What is the shortest distance from the top of the vase to the wall?
c. If the vase is moved so that the top just touches the wall find the new distance from the wall to the base.
d. Find the new equation that follows the shape of the vase.
There is a diagram on the question and it is a parabola that shows nothing except the turning point is on 0 on the x axis. and there is a small gap between the wall and the top of the parabola.
I really need help answering these questions because I have a test and I don't know anything! Please write all of your workings so I understand! Thank you
Click here to see answer by rothauserc(4718)

Question 1092480: find the range of values of k for which the equation x^2-2kx+k^2-2k=6 has real roots. find the roots in terms of k
Click here to see answer by MathLover1(20849)

Question 1092513: The income in dollars for a charity fundraiser can be expressed by 360p-12p^2 where p is the ticket price. What ticket price(s) will result in an income of $0?
Click here to see answer by DrSteve(7)

Question 1092514: A rectangular garden shed has an area of x^2-11x+18 square feet. Find a binomial expression for the width of the carpet if the length is x-2 feet.
Click here to see answer by Boreal(15235)

Question 1092589:
Click here to see answer by Fombitz(32388)

Question 1092644: Hello, please help me with the following question:
Find the domain and range of x^2 = 2y+1.
Click here to see answer by ikleyn(52779)

Question 1092694: Vinnie owns a t-shirt shop. He has determined that he can sell 150 t-shirts for $10 each. Vinnie's partner, Bob, is not happy with charging $10 for the shirts.
He tells Vinnie, "If we can increase the price by just one dollar we can make more money and maximize our revenue!" Vinnie responds, "But Bob, my research shows that each time we increase the price by one dollar, we will sell 5 less t-shirts! We will lose money!" Bob insists that they will make more money by charging more and selling fewer shirts.
Question:
What is the most Vinnie will make selling shirts?
Click here to see answer by josmiceli(19441)

Question 1092693: Vinnie owns a t-shirt shop. He has determined that he can sell 150 t-shirts for $10 each. Vinnie's partner, Bob, is not happy with charging $10 for the shirts.
He tells Vinnie, "If we can increase the price by just one dollar we can make more money and maximize our revenue!" Vinnie responds, "But Bob, my research shows that each time we increase the price by one dollar, we will sell 5 less t-shirts! We will lose money!" Bob insists that they will make more money by charging more and selling fewer shirts.
Question:
How much should Vinnie charge in order to maximize the amount of money he makes?
Click here to see answer by richwmiller(17219)

Question 1092844: To complete the square of x^2+bx , a number is added to the expression.Explain why the number added cannot be negative
Click here to see answer by josgarithmetic(39617)

Question 1092844: To complete the square of x^2+bx , a number is added to the expression.Explain why the number added cannot be negative
Click here to see answer by ikleyn(52779)

Question 1092954: What is the difference of the factors of the expression x^2 + (1/x^2) � 6?
Click here to see answer by rothauserc(4718)

Question 1092972: divide 11 into two parts such that their product will be 24
Click here to see answer by Alan3354(69443)

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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, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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, 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