Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 6428: I need help with these problems can you solve these out for me in steps?
Set 5
1. factor completely: x to the 2nd power -7x -30
2. factor completely: x to the 2nd power + 4x -16
3. factor completely: 2x to the 2nd power -11x+5
4. factor completely: 4x to the 2nd power +20x-24
5. factor completely: 4m to the 2nd power - 9
6. factor completely: 16a to the 2nd power - 25b to the 2nd power
7. solve by factoring: x to the 2nd power -x-12=0
8. solve by factoring: 2c to the 2nd power -5=-9c
9. solve the equation:(x+6)(x-7)(x-8)(x+9)=0
10. find the dimensions of the rectangle if the width is 3 feet less than the length and the area is 40ft to the 2nd power
Click here to see answer by ichudov(499)   |
Question 6584: I need help remembering what the standard formula is. I believe the slope intercept formula is.. y = mx+b and point slope formula is .. y-y1= m(x-x1). Are these two correct? The specific question I having trouble with is: Given the following, write an equation in standard form. The line has y-intercept of 5 and a slope of 2. If you could be of any help I would most appreciate it!
Thank you!
Click here to see answer by Mike(39) |
Question 6421: can you solve these problems out in step?
solve and graph on a number line.
5-3x<14
solve x
x+2 = 3/7
a brownie recipe that makes 36 brownies calls for 1 1/2 cups of sugar. How many cups of sugar are needed to make 24 brownies?
Click here to see answer by xcentaur(357) |
Question 6665: According to service records for Maya's Volkswagon, the bakes were checked at 42.1 thousand miles and at 88.6 thousand miles. At the first check, there were 4.8 mmm of friction material left on the rear brake pads; at the second check, there were 2.1 mm remaining.
1. Express the data in the form of two ordered pairs, (x,y), where x stands for the distance driven in thousands of miles and y stands for the thickness of the brake pads in mm.
I think the answer is -.058, but when I plug that in to later equations, it doesn't work.
Click here to see answer by prince_abubu(198) |
Question 6651: I have a real hard time with word problems. I can't figure this one out.
Eric is in charge of ordering the centerpieces for a school awards banquet. There are three types, which cost $22, $37, and $48. He needs to order some of each for a total of 35 centerpieces and a total cost of $1355. He needs 6 fewer of the $22 centerpieces than of the $37 centerpieces. How many $48 centerpieces does he need to order?
Any help will be appreciated.
Thanks!
Click here to see answer by xcentaur(357) |
Question 6773: a college student earned $8800 working as a waiter. the student invested some of the money at 7% and the rest at 6%, if the student recieved a total of $560 in interest at the end of the year, how much was invested at 7%?
This is the formula I used: principal multiplied by rate = interest OR x(.07) = .07x then I added 8800 - x(.06) = 560 which showed as:
.07x + 8800 - x(.06) = 560
I tried to solve for x and got 8240. I know I'm doing something wrong. can you help?
Sandy
Click here to see answer by Earlsdon(6287) |
Question 6936: Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 60 cups. But when you raise your price to $2 you only sell 30 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear.
Click here to see answer by glabow(165) |
Question 7003: A professor gives a test, and the scores range from 40 to 80. The professor decides to scale the test in order to make the scores range from 60 to 90. Let "x" represent an original score, and let "y" represent a converted score.
A. Use the ordered pairs (40,60) and (80,90) to write the equation that the professor will use to scale the test scores.
B. What will an original score of 45 become ?
C. If a converted score is 84, what was the original score ?
Click here to see answer by glabow(165) |
Question 3113: A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls could not turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially.
Click here to see answer by glabow(165) |
Question 7129: You are creating a window display at a toy store
using wooden blocks. The display involves stacking blocks in triangular forms.
You begin the display with 1 block, which is your first “triangle,” and then stack
3 blocks, two on the bottom and one on the top, to get the next triangle. You
create the next three triangles by stacking 6 blocks, then 10 blocks, and then
15 blocks. How many blocks will you need for the ninth triangle?
I can find the answer by counting fine... it is 45... I can't remember how to write the equation though. I know it is exponential & it looks something like this... n^(n-1) can you please help me?
Click here to see answer by glabow(165) |
Question 7672: I need help with a word problem please.
I paid $30.00 for 2 lawn chairs of different quality. At the same prices, 3 of the cheaper chairs would have cost $3.00 less than 2 of the better ones. Find the cost of each chair.
Thank you,
M.D.
Click here to see answer by prince_abubu(198) |
Question 8028: I am having a hard time solving this word problem. My old brain isn't as young as it was. Please help:
A truck, its driver and its load weight 43,320 pounds. The truck weighs 230 times the weight of the driver and the load is 30 pounds more than three times the driver’s weight. What is the weight of the load? I need help developing the linear equation and solving it.
Please - I am pressed for time.
Click here to see answer by glabow(165) |
Question 8296: Two investments earn an annual income of $575. One investment earns an annual simple interest rate of 8.5%, and the other investment earns an annual simple interest rate of 6.4%. the amount invested is $8000. How much is invested in each account?
Click here to see answer by srinivas123(23) |
Question 8459: Problem:
"Some parking meters in Milan, Italy, accept coins in the denominations of 20 cent, 50 cent, and 2 Euro. As as incentive program, the city administrators offer a big reward (a brand new red Ferrari) to any meter maid who brings back exactly 1000 coins worth exactly 1000 Euro from the daily rounds. What are the odds of this reward being claimed anytime soon?"
My work thus far:
X=20cent
Y=50cent
Z=2 Euro
X + Y + Z = 1000
.2X + .5Y + 2Z = 1000
.....
There is my problem, i'm not sure how to produce another equation so that I can start eliminating variables. I dont really need you to solve the problem, as much as helping me set it up.
Click here to see answer by khwang(438) |
Question 8617: The altitude of a falling rock t seconds after it is dropped is calculated from
the polynomial h(t)= -16t^2+ 200. Find the altitude of the rock 2 seconds after it is dropped.
I set up as h=-16(2)(2)+200 =-16(4)+200 =-64+200 = 136 feet help!
Click here to see answer by rapaljer(4667)  |
Question 8623: The altitude of a falling rock t seconds after it is dropped is calculated from the polynomial h(t)=-16t^2+200. Find the altitude of the rock 2 seconds after it is dropped.
also:
A rectangle has a length which is 3 more than its width. Write a polynomial P(x) which expresses the perimeter of this rectangle in terms of the width x.
Click here to see answer by rapaljer(4667) |
Question 9840: A gas station attendant looks over yesterday's sales report. She finds that 450 liters of regular and 320 liters of unleaded were sold for a total of $384.83. Regular was 5 cents per liter cheaper than unleaded. What were the two prices per liter yesterday?
Click here to see answer by prince_abubu(198) |
Question 10342: On Monday, Herold picked up three doughnuts and four large coffees for the office staff. He paid $4.91. On Tuesday Melinda picked up five doughnuts and six large coffess for the office staff. He paid #7.59 What is the cost of one doughnut? What is the cost of one large coffee.
Click here to see answer by gsmani_iyer(180) |
Question 10439: Driving at the rate of 70 miles per hour from San Bernardino, Ca
to Dallas Texas takes approximately 22.5 hours. How many miles is the total
trip.
If a road trip from Los Angeles to El paso Texas is 780 miles. We stop to
rest for 6 hours. Driving at 65 mph. How long would it take to make the
trip
Click here to see answer by calbreez(9) |
Question 10567: A carpenter charges a set fee for each job in addition to his hourly charge. If a carpenter bills a customer $150 for a job which takes him 3 hours and bills a second customer $180 for a 6 hour job, how much would he charge for a job that takes him 9 hours?
Click here to see answer by askmemath(368) |
Question 11412: The Smith family took a canoe 10 miles down the Allegheny River in 1 hour and 15 minutes. After lunch it took them 4 hours to return. Find the rate of the current.
I have set up a table with:
Distance = 10 both upstream and downstream
Canoe speed downstream = x + y
Canoe speed upstream = x - y
Time going downstream = 1 1/4 hour
Time going upstream = 4 hours
I just keep getting bogged down with the fractions when trying to solve by addition method or substitution method.
Click here to see answer by Earlsdon(6287) |
Question 12229: A person has a basket of fruit, consisting of apples, oranges and bananas. The total pieces of fruit is equal to 80. The number of oranges is 5 more than 1/3 of the number of apples. The number of bananas is 1 less than 1/4 the number of apples. How many of each fruit will you have?
Click here to see answer by kusha(21) |
Question 12221: Help: I would appreciate any assistance in these two problems I am loss on how to do these.
To pass a course with a B grade, a student must have an average of 80 or greater. A student's grades on three tests are 78, 80, and 90. Set up and solve an inequality to find what score the student must get on the next test to get a B average or better.
An employment agency specializing in temporary construction help pays heavy equipment operators $129 per day and general laborers $92 per day. On a particular day 43 people were hired and the total payroll was $4474.
Thank you,
Pat
Click here to see answer by longjonsilver(2297)  |
Question 12317: A farmer goes to store to buy fertilizer. Brand A bags contain 4 lbs of Sulfur and 5 lbs of nitrogen in each bag Brand B has 7 lbs of sulfur and 6 lbs of nitrogen in each bag. He needs 308 lbs of sulfur and 330 lbs of nitrogen. How many of each brand should he get?
I think the correct answer is 42 of Brand A and 20 of Brand B. How do we solve these type of problems? Please help. I am trying to help my daughter with no luck.
Email: HKARIMI @BELLSOUTH.NET
Regards, Mike
Click here to see answer by kusha(21) |
Question 12296: Mona Yahuso earns three times as much as an actuary as she does as a writer  . Her total income is $40,000 more than that of her brother  . He earns half as much as Mona does as an actuary  . What is Mona's salary as an actuary?
Click here to see answer by akmb1215(68) |
Question 12481: a group of 65 people attend a ball game. there were four times as many children as adults in the group. write a system of equations that you could use to set up this problem, where a is the number of adults and c is the number of children in the group. solve the system of equations for c.
Click here to see answer by vasu2qute(17) |
Question 12517: the modern grocery has cashews that sell for $3.50 a pound and peanuts that sell for $2.00 a pound. how much of each must Alberts, the grocer, mix to get 60 pounds of mixture that he can sell for $3.00 per pound. Express the problem as a system of linear equations and solve using the method of your choice to find the solution.
Click here to see answer by Earlsdon(6287) |
Question 12593: A barge owned by " Ernest Transport Co" travels between England & France, and can carry up to 24 cars or up to 8 buses. Each bus takes up the space of 3 cars.
The owner matthew, needs you to determine the most profitable combination of cars & buses which can be carried on a particular trip. The following conditions apply.
a) On any trip at least 8 cars are to be carried; and
b) More than 3 buses are to be carried
c) Matthew requires a maximum income. He is being paid $300 per bus & $50 per car.
1) Translate this situation into a set of mathemathical relationships.
2) Draw graphs of the relationships.
3) Find region of overlap.
Could you please help me solve this problem.
Thanking you in advance.
Julie
Click here to see answer by AdolphousC(70) |
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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
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