Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)

Question 178481: 3x/5-x=x/10-5/2
Click here to see answer by stanbon(57219)

Question 178425: A garden table and a bench cost 750 combined. The price of the garden table is two times the price of the bench. What is the cost of the bench?

word problems get me everytime please help

Click here to see answer by Mathtut(3670)

Question 178564: You have $500,000 in an IRA when you retire. You have the option of investing this money in two funds. A Plan pays 5.2% annually, B Plan pays 7.7% annually.
How should you divide your money between Plan A & Plan B to produce an annual interest income of $34,000?
This is what I have come up with so far:
Plan A + Plan B = $34,000
Plan A = 5.2%
Plan B = 7.7%
IRA =$500,000
Then I'm not sure here what to do next?

Click here to see answer by Mathtut(3670)

Question 178575: the rectangle has a perimeter (P) of 58 inches. the length (l) is one more than 3 times the width (w). Write and solve a system of linear equations to find the length and width of the rectangle. Show your work
Click here to see answer by solver91311(16868)

Question 178589: 10.48 From her firm’s computer telephone log, an executive found that the mean length of 64 telephone calls during July was 4.48 minutes with a standard deviation of 5.87 minutes. She vowed to make an effort to reduce the length of calls. The August phone log showed 48 telephone calls whose mean was 2.396 minutes with a standard deviation of 2.018 minutes.
(a) State the hypotheses for a right-tailed test.
(b) Obtain a test statistic and p-value assuming unequal variances. Interpret these results using α = .01.
(c) Why might the sample data not follow a normal, bell-shaped curve? If not, how might this affect your conclusions?
Thank you, Stan
Click here to see answer by stanbon(57219)

Question 178935: The number of miligrams of a certain substance per liter in samples of drinking water all tested within .05 of 40 miligrams per liter. Write this information as an inequality, using absolute value.
Click here to see answer by MathLover1(6614)

Question 178909: Dear Sir
I would be glad if you can help me to resolve the below problems that has been bothering me for awhile.
Thanks Jackie King
e-mail address; smsltd@starhub.net.sg
1) Jane had 156 red and yellow beads in the ratio 7:6. After she gave away an equal number of each type of bead, the number of red and yellow beads left was in the ratio 7:3.
(a) Did the fraction of the red beads that Jane had increases, decreases, or remain the same?
(b) How many beads did she give away altogether?

2) In Mariam’s aquarium there are swordtails and guppies, 25% of the fishes are swordtails. She then buys an equal number of swordtails and puts them into the aquarium.
(a) Will the percentage of fishes in the aquarium which are guppies increases, decrease or remain the same?
(b) What percentage of the fishes will be guppies?
My queries in the above the two questions are:
In question 1 (a) does the ‘fraction’ asked refers to the new base after “she gave away an equal number of each type of bead “ or referring the same base before giving away. If the answer is related to the new base then my question is how we can compare two fractions coming from different wholes; I could not find any mathematical meaning in this situation.
Similar query in question two in which I wonder which ‘whole’ the question refers to; before or after. In addition, the quantity “an equal number of swordtails” refers to the same amount of 25% of the fishes.
Lastly, what principles do the examiner what to test in the above two questions.
I would appreciate very much if you would provide me the method how you would work the solutions to the above questions.
Furthermore, what happen if we keep increasing or increasing the “equal amount to put in or taken away”? Is there some kind of relationship that we can deduce from these two problems?

Click here to see answer by ankor@dixie-net.com(15624)

Question 179122:
Click here to see answer by Mathtut(3670)

Question 179159: Write a system of two equations in two unknowns for each problem. Solve each system by the method of your choice. Please help!!! I'm having the hardest time with this. Thanks
The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?
Click here to see answer by edjones(7569)

Question 179499: The lenght of a rectangle is fixed to 15cm. what width will make the perimeter greater than 80cm?
Click here to see answer by nerdybill(6948)

Question 179530: An investment of $10,000 in the Emerging Country Debt Fund in 2001 was worth $24,780 in 2006. Use the formula to find the 5 year average annual return. The formula is r=(S/P)^1/n-1. I am totally lost with this word problem. Could somebody help?Thank you in advance.
Click here to see answer by stanbon(57219)

Question 179540: A concrete driveway has a perimeter of 280 feet. The length of the driveway is 20 feet more than 4 times its width. Find the length and width of the driveway by writing two equations with two variables, and solving the equations by either the addition method or the substitution method
Instructions
you must define the variables, create two equations, then solve those two equations using algebraic methods of addition or substitution.
Click here to see answer by nerdybill(6948)

Question 179551: One calculator costs $3 and a box of pens costs $5. The total amount spent was $960. There were 5 times as many calculators sold than boxes of pens. How many calculators and boxes of pens were sold?
Click here to see answer by stanbon(57219)

Question 179665: When twice one number is decreased by two-thirds of another number, the result is 5.
Click here to see answer by Mathtut(3670)

Question 179670: At he sound of an explosion Eleanor ran east at 250 metres per minute. Rudy regained consciousness 4 minutes later and began to run after Eleanor at 300 metres per minute.
Write the distance versus time equation for each of the runners.
Click here to see answer by Mathtut(3670)

Question 179666: Three times a number plus twice a second number is 41. Also, four times the first plus five times the second is 71. Find the numbers.
Click here to see answer by Mathtut(3670)

Question 179686: There is 20.30 to spend on pizza. each pizza cost 9.50, and .75 per topping
Click here to see answer by Alan3354(30959)

Question 179749: Radius of a sphere. The radius of a sphere is given by the formula r= (0.75v)^1/3
pi
Where V is it volume. Find the radius of a spherical tank that has a volume of 32pi cubic meters
3
V=4pi*r^3

32pi = 4pi*r^3 = 8=r^3
3 3 3 3
r^3=8 r= 2 cubic meters
Is this correct? thanks in advance, judy
Click here to see answer by Mathtut(3670)

Question 179757: Area of a triangle. Find the exact area of a triangle of a triangle with a base of square root of 30 and the height of square root of 6 meters.
Click here to see answer by solver91311(16868)

Question 179976: Car rental company charges $39.99 per day. The first 50 miles are free, but there there is a charge of $0.28 per mile after 50 miles.
I need to write an inequality to determine the greatest number of miles that you can drive for $55 or less.
I don't know how to begin to write this inequality. Can you help me?
Thanks
Click here to see answer by Mathtut(3670)

Question 180084: I have a question about discriminant and quadratic equations. Can anyone answer the below question?

"You have a good description of the discriminant, explaining that it does come from the quadratic formula. Why do you think it works? By this I mean for example, why when it is greater than 0, will you have two real number solutions"?

Click here to see answer by stanbon(57219)

Question 180188: A home-made lefsa enterprise estimates that they can sell 30 dozen lefsa at $3.00 per dozen and 25 dozen lefsa at $4.00 per dozen. write a linear equation for the amount of lefsa sold in terms of the price per dozen. use your equation to approximate the amount of lefsa sold at $5.00 per dozen.
thanks for helping me on this!!
Click here to see answer by stanbon(57219)

Question 180241: A garden is 2.7 times as long as it is wide. It has perimeter of 72.52 feet. How wide is the garden?

Click here to see answer by solver91311(16868)

Question 180629: Hi can you please help with this I am not getting it.

Melanie can paint a certain barn by herself in x days. Her helper melissa can paint the same barn by herself in 2 xdays. write a rational expression for the fraction of the barn that they complete in one day by working together. evaluate the expression for x=5
Click here to see answer by ankor@dixie-net.com(15624)

Question 180660: The number (C) of U.S Supreme Court cases on docket from 1996 to 2001 can be approximated by the linear equation:
C= 344.3t + 5400, 6<_t <_11
where t is the year, with t=6 corresponding to 1996. If this linear pattern continues, in what year will the number of U.S. Supreme Court cases reach 11,000?
Please help. I don't even know where to start! Thanks.
Click here to see answer by Fombitz(13828)

Question 180764: felix drove 800 miles in x hours on monday.
a) write a rational expression for his average speed.
b) On tuesday he drove for 6 hours at the same average speed. write a rational expression for his distance on tuesday.

can you help? please
Click here to see answer by jim_thompson5910(28476)

Question 180631: driving a marathone. Felix drove 800 miles in x hours on monday .
a) write a rational expression for his average speed.

b) on tuesday he drove for 6 hours at the same average speed. write a rational expression for his distance on tuesday.

thank you
Click here to see answer by ankor@dixie-net.com(15624)

Question 181175: lena drove 204 miles using 10 gallons of gas at this rate, how many gallons of gas would she need to drive 255 miles?

thank you
Click here to see answer by Mathtut(3670)

Question 181202: Find the interval on the Farenheit scale corresponding to 25 <= C <= 50
Click here to see answer by Mathtut(3670)

Question 181182: there are 810 dishes that need to be rinsed. john can rinse them in 135 minutes by himself it will take his friend bob 90 minutes to rinse these dishes how lomg will it take them if they rinse the 810 dishes together?
Click here to see answer by stanbon(57219)

Question 181007: A B747 aircraft flew 6 hours with the wind. The return trip took 7 hours against the wind.If the speed of the plane in still air is 13 times the speed of the wind. Find the wind speed and the speed of the plane in still air
Click here to see answer by ankor@dixie-net.com(15624)

Question 181261: The sum of two numbers is 43. Twice the larger number exceeds three times the smaller numner by 16. Find the number
Click here to see answer by eperette(173)

Question 181288: 1. Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
Click here to see answer by solver91311(16868)

Question 181295: 4. The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?
Click here to see answer by solver91311(16868)

Question 181315: Edwin can drop a piece of luggage off the top of headquarters and then record the results once every 4 minutes. Hewitt can do the same every 5 minutes. How many minutes will it take them together to drop their luggage and record the results a (combined) total of 18 times?
I tried this equation where x= minutes
5x + 4x = 18x
My problem is that the x's don't seem to have the same value. I think I need to find out how many tries they each need and multiply that by the minutes, but I don't see how I can tell how many tries they each need!
Thanks for helping!
Click here to see answer by Alan3354(30959)

Question 181588: I was wondering if anyone could help me with a mixture
A chemist needs to prepare 12oz of a 9% hydrochloric acid solution. Find the amount of a 4% solution and the amount of a 12% solution she should mix to get this solution.
Thanks for the help
Click here to see answer by solver91311(16868)

Question 181776: Mrs. brandy invests a total of $8715 in two savings accounts. one account yields 8.5% simple intrest and the other 9.5% simple interest. She would like to find the amount placed in each account if a total of $754.88 in interest is received after one year
Click here to see answer by Mathtut(3670)

Question 181690: Two cars leave Denver at the same time and travel in opposite direction. One car travels 10m/h faster than the other car . the cars are 500 miles apart in 5 h. how fast is each car driving.
Click here to see answer by checkley77(12569)

Question 181753: Your are traveling to a concert. To arrive on time you plan to travel at an average speed of 45 mph. For the first two hours of the trip you travel at 40 mph. Find the expression for the total time you traveled. Then use the following verbal models to find how many hours you traveled at 55 mph to arrive on time
dist at 40 + dist at 55 = total dist
ave speed *total time = total dist
Click here to see answer by ankor@dixie-net.com(15624)

Question 181896: Write the following numbers in scientific notation:

Number in standard notation Number in scientific notation
1,990,000,000,000,000,000,000,000,000,000
48,500
3,756
980
72
6.5
0.432
0.0999
0.005
0.00012
0.00000000000000000000000000000091093897

Insight: The following are simplified procedures for writing a number in scientific notation and reverse:
To Write a Number in Scientific Notation
1. Move the decimal point in the original number to the right or left until you obtain a number greater than or equal to 1 and less than 10.
2. Count the number of places you have moved the decimal point to obtain the number in step 1. If the decimal point was moved to the left, the count is to be considered positive. If the decimal point was moved to the right, the count is to be considered negative.
3. Multiply the number obtained in step 1 by 10 raised to the count found in step 2. (Note that the count determined in step 2 is the exponent on the base 10.)
Examples:
- Males have up to 5,800,000 red blood cells per cubic millimeter of blood, or
5,800,000 =
- The probability of winning a lottery may be 0.0000018, or
0.0000018 =

To Convert a Number given in Scientific Notation to Decimal Notation
1. Observe the exponent on the 10
2. a) If the exponent is positive, move the decimal point in the number to the right the same number of places as the exponent. Adding zeros to the number might be necessary.
b) If the exponent is negative, move the decimal point in the number to the left the same number of places as the exponent. Adding zeros might be necessary.
Examples:
- The age of the earth is estimated to be years = 4,600,000,000 years
- The average grain size in siltstone is = 0.00135

Click here to see answer by Alan3354(30959)

Question 181893: The Great Galaxy in Andromeda (also known as the Andromeda Galaxy or M31) is about 2.5 million light years from Earth. When we look at this galaxy today, we see light that has been traveling through space for 2.5 million years; i.e. when we look at the Andromeda Galaxy, we are seeing it as it was about 2.5 million years ago! Think about this, we are looking back in time.

1 light year is the distance that light travels in 1 year. Speed of light is 300,000 kilometers/second, find the distance that light travels from the Andromeda Galaxy to Earth in kilometers and express it in scientific notation.
Click here to see answer by Alan3354(30959)

Question 181973: I really hate word problems please please help!!! This one also needs to be in linear equation format Thank you sooo much!!!
A pharmacist has two decongestants, one containing 0.8% pseudoephedrine HCI the other containing 1.4% of the ame substance. A prescription calls for a decongestant containing 1.1% pseudoephedrine HCI. How much of each should be used to produce 4 ounces of a 1.1% solution????
Click here to see answer by stanbon(57219)

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