Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 94360: Q1: Find the slope of a line perpendicular to the graph of 2x+3y=7
Q2: Graph y=3x-1. Identify the intercepts
Thank you so much to whomever answers my questions. It is a big help to me.
Click here to see answer by edjones(7569)

Question 94406: An auditorium sold 1200 tickets to a recent magic show. Ticket prices were $5 for adults and $3 for children. They took in $5180. How many adult tickets and how many children's tickets we sold?
Click here to see answer by ankor@dixie-net.com(15746)

Question 94330: the cost of medical care increased 142.2 points in a 6-year period. if the cost of medical care reached the 326.9 mark, what was it 6 years ago?
Click here to see answer by stanbon(57962)

Question 94438: Amy wants to fence in a garden whose length is 2m more than twice its width. What is the greatest width her garden can be, if she has at most 70m of fencing?
Click here to see answer by ankor@dixie-net.com(15746)

Question 94487: Dan went on Dr. Phils show and vowed to lose 20% of his weight by christmas. If the amount of weight he vowed to lose was 49lbs, how much did he start out at?

This is how I tried
392 80 = 392 ? I wasnt sure if i did it correct?
___ =___

49 100
Click here to see answer by checkley71(8403)

Question 94496: Hello,

I need help finding two consecutive even integers whose product is 224.

Thank you
Click here to see answer by scott8148(6628)

Question 94522: A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities
Click here to see answer by stanbon(57962)

Question 94835: This is a question on my summer assignment that I've been working on for months!!! I've asked my friends for help, but they don't know how to solve it either!!! I hope you can help.
A business had a profit of $58,000 in 1989 and a profit of $74,000 in 1993. Find the rate of change. Write an equation that models the information given.
Rate of change=
Equation=
So far I have -
x/100 = 16,000/58,000
x = 1,600,000/58,000
Rate of Change = 27.5862% over 4 years or 6.8966% per year
Is that the correct answer for the rate of change?
My work for the equation is -
y2-y1/x2-x1
74,000-58,000/1993-1989
Equation = $16,000/4 years or $4000/1 year
I'm completely confused about the equation part! Would the slope equation be the correct equation for the answer? And if so, is this is correct solution?
Any insight or help that anyone can give me on this problem would be greatly appreciated!!! Thank-you VERY much!!!
Click here to see answer by tutorcecilia(2152)

Question 94826: A boat weighs 1500 lb more than its motor and 1900 lb more than its trailer. Together the boat and motor weight five times a much as the trailer. How much does the boat weigh?
thank you! I have tried about 12 different equations!
Click here to see answer by edjones(7569)

Question 94801: The area of a rectangle of length x is given by 3x² +5x. Find the width of the rectangle
Click here to see answer by ptaylor(2052)

Question 94831: With the major options package and destination charge, a sports car cost $24,416. The base price of the car was ten times the price of the major options package and fifty times the destination charge. What was the base price of the car?
thank you! I am close, but cannot get it.
Click here to see answer by scott8148(6628)

Question 94874: You clocked the time between lightning and thunder as 8 seconds. About how far away was the lightning?
Click here to see answer by scott8148(6628)

Question 94959: Factor the polynomial by grouping the first two terms and the last two terms.
x³ - 4x² +2x - 8

Click here to see answer by stanbon(57962)

Question 95057: The pages of a book are numbered from 1 to 128. How many page numbers contain the digit 6?
Click here to see answer by hard(12)

Question 94986: If the sides of a square are decreased by 2 cm, the area is decreased by 36 cm2. What were the dimensions of the original square?

Click here to see answer by ankor@dixie-net.com(15746)

Question 95167: Hello,

I need help with this problem:

An airplane can fly a rate of 525 mi/h in still air. It can fly 2800 miles with the wind in the same time that it can fly 2450 miles against the wind. Find the rate if the wind.

Thank you!
Click here to see answer by stanbon(57962)

Question 95224: This is impossible. Please tell me I am wrong.
There's a family of 4 people, and they're fleeing to safety across a rickety bridge that's swept away by a flood in 17 minutes. The family members have 1 flashlight, which they must use every time they cross the bridge. The Grandfather will take 10 mintues to cross the bridge, the mother 5 minutes, the brother 2 mintues, and the sister 1 minute. No more than 2 family members can be on the bridge at any one given time. Do they make it? If so, is there more tha one way for them to make it across.Gran
Click here to see answer by bucky(2189)

Question 95356: Hello,
The following problem was answered earlier, but I don't understand how you cam up with 56 and 49 in the equation portion of the problem to be divided by 525? Can you explain.

I need help with this problem:
An airplane can fly a rate of 525 mi/h in still air. It can fly 2800 miles with the wind in the same time that it can fly 2450 miles against the wind. Find the rate if the wind.
Thank you!: Hello,
I need help with this problem:
An airplane can fly a rate of 525 mi/h in still air. It can fly 2800 miles with the wind in the same time that it can fly 2450 miles against the wind. Find the rate if the wind.
Thank you!
Answer by stanbon(9974) (Show Source):
You can put this solution on YOUR website!
An airplane can fly a rate of 525 mi/h in still air. It can fly 2800 miles with the wind in the same time that it can fly 2450 miles against the wind. Find the rate of the wind.
--------------
Let the rate of the wind be "w".
---------------
With the wind DATA:
Distance=2800 miles ; Rate = (525+w) mph ; Time = d/r = 2800/(525+w) hrs.
-----------------------------
Against the wind DATA:
Distance=2450 miles : Rate = (525-w) mph ; Time = d/r = 2450/(525-w) hrs.
------------------------------
EQUATION:
time = time
2800/(525+w) = 2450/(525-w)
56/(525+w) = 49/(525-w)
56*525-56w = 49*525+49w
105w = 7*525
w = 35 mph (the speed of the wind is 35 mph)
================

Click here to see answer by scott8148(6628)

Question 94894: The sum of two numbers is 31. Twice the lesser number is 6 less than twice the greater number. What are the numbers?
Click here to see answer by bucky(2189)

Question 95442: Hi, this word probelm is really challenging me and I was wondering if you could help. The problem is
"A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple-choice questions worth 11points each. How many multiple choice questions are on the test?"
Thanks sooo much!
Click here to see answer by bucky(2189)

Question 95487: need help
ticket sale
ticket sale for a play total $2200. there are three times as many adults tickets sold as childrens tickets. the price of the tickets for adults and children are $6 and $4, respectively. find the number of children tickets sold.
ticket sale for spaghetti dinner total $1350 there are four times as many adult tickets sold as children tickets. the price of thetickets for adults and children are $6 and $3 respectively. find the number of children tickets sold.
thanks hope you can solve them. greatly appreciate it.
Click here to see answer by stanbon(57962)

Question 95485: need help
ticket sale
ticket sale for a play total $2200. there are three times as many adults tickets sold as childrens tickets. the price of the tickets for adults and children are $6 and $4, respectively. find the number of children tickets sold.
ticket sale for spaghetti dinner total $1350 there are four times as many adult tickets sold as children tickets. the price of thetickets for adults and children are $6 and $3 respectively. find the number of children tickets sold.
thanks hope you can solve them. greatly appreciate it.
Click here to see answer by edjones(7569)

Question 95359: ratio's
Ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and wideth have the golden ratio of 8 to 5.
Click here to see answer by ankor@dixie-net.com(15746)

Question 95054: Science and Medicine. The equation h = -16t^2 + 112t gives the height of an arrow, shot upward form the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
Click here to see answer by ankor@dixie-net.com(15746)

Question 95592: 1. A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
Click here to see answer by stanbon(57962)

Question 95616: Please help me i am no good at word problems. Science and medicine. Fungicides account for of the pesticides used in the united states. The ratio of fungicides to insecticides used in the U.S. can be written /. Write the ratio in simplist form.
Please help me.
Click here to see answer by stanbon(57962)

Question 95706: A landscaper, who just completed a rectangular flower garden measuring 6 feet by 10 feet, orders 1 cubic yard of premixed cement, all of which is to be used to create a border of uniform width around the garden. If the border is to have a depth of 3 inches, how wide will the border be?
Thanks so much for your help! I'm pulling my hair out.
Connie
Click here to see answer by checkley71(8403)

Question 95797: If 5 is subtracted from half a number, the result is 6 less than the number itself. Fin the number. If your answer is a fraction, enter it in the form a/b. Also enter your answer without spaces between numbers and symbols.
Click here to see answer by edjones(7569)

Question 95840: The perimeter of a rectangle is 56cm. The width is 6cm less than the lenght. Find the width and the lenght
Click here to see answer by checkley71(8403)

Question 95825: The sum of two numbers is 12 ans the sum of their squares is 78. Find the numbers.
I do not believe that either number is whole.
Click here to see answer by checkley71(8403)

Question 95825: The sum of two numbers is 12 ans the sum of their squares is 78. Find the numbers.
I do not believe that either number is whole.
Click here to see answer by Edwin McCravy(8999)

Question 95857: You are a big spender. You bought lunch foryourself and 3 friends. You spent 54.38 total including a tip of 15%. Your meal was $9.89. Franks meal was $9.99. Sam's meal was $10.49 and Peggys meal was _______.
Click here to see answer by checkley71(8403)

Question 95959: i have never been good at word problems i dont understand them i read and read the problem but i do not get it. I've never understood percent` either.

Arlene wishes to invest $5000. If she invest part at 7% simple enterest, part at 6%, and receives a total of $332 after one year, how much does she invest at each rate?

please help me. thank you
Click here to see answer by ankor@dixie-net.com(15746)

Question 96019: walt made an extra $9000.00 last year from a part time job. he invested part of the money at 10% and the rest at 7%. he made a total of $780.00 in interest. how much was invested at 7%
Click here to see answer by elima(1433)

Question 96017: A rectangular persian carpet has a perimeter of 192 inches. the length of the carpet is 22in more than the width. what are the dimensions of the carpet

Click here to see answer by checkley71(8403)

Question 96064: I am looking for the pattern to these numbers 4096,1024,256,64,?,?,?. I took the subtraction numbers and then divided by three but once I get to 64 I couldn't divide by 3 anymore so what am I doing wrong?
Click here to see answer by jim_thompson5910(28705)

Question 96080: How to solve this problem..the sum of 2 numbers is 63, and one is 27 larger than the other. What are the 2 numbers ____ ____?
Click here to see answer by checkley71(8403)

Question 96100: A farmer buys 100 live animals for $100. How many of each doe she buy if chicks are .10 each, pigs are 42 and sheep are $5 each?
Click here to see answer by ankor@dixie-net.com(15746)

Question 96163: Separate 65 into two parts such that 3 times the larger will be 6 more than 6 times the smaller.
Click here to see answer by stanbon(57962)

Question 96187: twice anumber is greater than 12
Click here to see answer by checkley71(8403)

Question 96286: A student scores 79 on an exam containing 100 problems. He tried to solve all the problems. His score was figured by subtracting two times the number of wrong answers from the number of correct answers. How many problems did he answer correctly?
Click here to see answer by checkley71(8403)

Question 96293: I need help on this problem. Please show me it in the "Five-step" plan method.
One number is four times another number. The larger number is also 87
Choices for the smaller number: 29 30, 33
also, if you could show me another example that would be great!
I dont understand it at all..
could you please help,
Julian
Click here to see answer by scott8148(6628)

Question 96288: Divide the number 50 into two parts so that if one part is divided by 6 and the other part is divided by 8, the sum of the answers will be 9.
Click here to see answer by checkley71(8403)

Question 96316: 100 students are polled. 57 like spaghetti. 90 like pizza. 7 like neither. How many students like pizza and spaghetti.
Click here to see answer by checkley71(8403)

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, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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