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

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Question 236093: Write the following as expressions (use 'x' for the unknown)-Half the product of five and a number
Also I was wondering if you could tell me if I did this one correctly-Half a number added to seven x/2+7
Click here to see answer by nyc_function(155)

Question 235974: A number doubled and increased by five is less than or equal to ten times the same number."
Click here to see answer by xmoo22xx(3)

Question 235911: Velocity of a bullet. A gun is fired straight upward. The bullet leaves the gun at 100 feet per second (time t 0). After 2 seconds the velocity of the bullet is 36 feet per second. There is a linear equation that gives the velocity v in terms of the time t. Find the equation and find the velocity after 3 seconds.
Click here to see answer by ankor@dixie-net.com(6567)

Question 235909: Celsius to Fahrenheit. Water freezes at 0 degrees C or 32 degrees F and boils at 100 degrees C or 212 degrees F. There is a linear equation that expresses the number of degrees Fahrenheit (F) in terms of the number of degrees Celsius (C). Find the equation and find the Fahrenheit temperature when the Celsius temperature is 45 degrees.
Click here to see answer by rfer(2588)

Question 235318: Hello, I was helping my aunt with some of the problems she had with inequalities before i stumbled upon this. Its been years since I last took algebra, so please help me out with this.
1. In 2002, a one year old Acura was worth $18,249, with a depreciation of $1903 per year. A year old Subaru sedan was worth about $14,564 with a depreciation of $1225 per year.
(a) Let V be the value in $ of the Acura at t years since 2002, find an equation of a model to describe the data.
(b) Let V be the value in $ of the Subaru car at t years since 2002, find an equation of a model to describe the data.
(c) Use substitution or elimination to predict when the two cars will have the same value. What is that value.
Thanks.
Click here to see answer by scott8148(3325)

Question 235258: You are ordering softballs for 2 leagues. Pony league uses a ball that costs $2.75, junior league uses a ball that costs $3.25. Total balls bought is 80 for $245. How many for each league were bought?
Click here to see answer by MathPro(14)

Question 235217: A plane traveled 580 miles to Ankara and back. The trip there was with the wind. It took 5 hours. The trip back was into the wind. The trip took 10 hours. Find the speed of the plane in still air and the speed of the wind. i know this should be relatively easy, but for some reason I am having a brain block and can't seem to make any headway on this problem. Any help you can provide will be GREATLY appreciated!
Click here to see answer by scott8148(3325)

Question 235209: the manager of a coffe shop has one type of coffee that sells for $6 per pound and another type that sells for $14 per pound. the manager wishes to mix 100 puonds of the $14 coffee to get a mixture that will sell for $8 per pound. how many pounds of the $6 coffee should he use?.
Click here to see answer by josmiceli(2979)

Question 235172: saftey rent a truck costs $41.95 plus $.29 per mile. city rentals rents the truck for $38.95 plus $.31 per mile. for what milage are the costs the same?
Click here to see answer by rfer(2588)

Question 234844: A tourist agency can sell up to 1200 travel packages for a football game. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers, and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with nonstop flight sells for $1200, and each package with a two-stop flight sells for $900. Assume that each plane will carry the maximum number of passengers. How do you suppose to graph this feasible region? What is the coordinates of the vertices of the feasible region?
Click here to see answer by ankor@dixie-net.com(6567)

Question 235023: Please help me solve this problem equation, the x represents multiplication! And the R is squared but I dont know how to put r to the 2nd power! Thank you so much!

Solve for h
Click here to see answer by ankor@dixie-net.com(6567)

Question 235033: In 1 year, Dee Wallace earned $660 in interest on two investments totaling $8,000. If he received 7% and 9% rates of return, how much did he invest at each rate
Click here to see answer by solver91311(4818)

Question 235029: Solve for x and y.
3x - 2y = 0
2x - 3y = 1

Click here to see answer by Edwin McCravy(2878)

Question 234604: the sum of three numbers is 95. the sum of the first and the second is twenty five more than the third number and the third is twice the first. find the numbers.
Click here to see answer by ankor@dixie-net.com(6567)

Question 234765: The sum of 38 and twice a number is 124. Find the number.
Click here to see answer by rfer(2588)

Question 234633: A man has 35 coins consisting of dimes and quarters. The total value is $5.15. How many of each coin does he have? I know that there are 24 dimes and 11 quarters (working it backwards) but I can't figure out what the equation should be to solve for this problem. Can ANYONE please help me?
Click here to see answer by solver91311(4818)

Question 234478: The Carolina Panthers scored 87 points. Of those 22 points were from free throws and the remaining 65 points were a result of 28 two and three point shots. How many baskets of each were made?
Click here to see answer by nyc_function(155)

Question 234487: five years ago a man was seven times as old as his son. five years hence, the father will be three times as old as his son. find their present age?
Click here to see answer by ankor@dixie-net.com(6567)

Question 234485: The price of admission for a ticket was $10 for adults and $3 for children. 520 tickets were sold, the resulting revenue was $3450. How many adults and how many children attended the concert?
Click here to see answer by checkley77(6671)

Question 37669This question is from textbook
: Six apples and three oranges cost $1.77. Two apples and five oranges cost $1.27. Find the cost of each apple and the cost of an orange.This question is from textbook

Click here to see answer by smartguy101(5)

Question 234428: A local computer center charges nonmembers $5 per session to use the media center. If you pay a membership fee of $25, you pay only $3 per session. Write an equation that can help you decide whether to become a member. Then solve and interpret the solution.
Thanks
Click here to see answer by rfer(2588)

Question 234024: how can i solve this word problem?:
one number is 4 less than another number. the sum of the two numbers if four times their difference. what are the two numbers?
Click here to see answer by ankor@dixie-net.com(6567)

Question 234400: Maria added white vinegar solution of acetic acid in water. There are 2 strengths of white vinegar-a 5% solution and a 10% solution. How many millilitres of each solution must she mix to make 50mL of a 9% vinegar solution?
Click here to see answer by josmiceli(2979)

Question 234020: I think this will be a linear equation, but I'm not sure. I don't even know where to begin. Can you please help? The problem is:
John says to Brenda, "If you give me $7, we will have an equal amount of money." Brenda responds, "That may be true, but if you give me $7, I will be $1 short of having twice as much money as you." How much money did John and Brenda have?
Hint: When one person loses $7, the other person gains $7.
Click here to see answer by ankor@dixie-net.com(6567)

Question 233980: The difference between two numbers is 16. Three times the larger number is nine times the smaller. What are the numbers???
Click here to see answer by scott8148(3325)

Question 233812: A store sells cashews for $5.00 per pound peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling nuts serparetly?
Click here to see answer by stanbon(25959)

Question 233797: the perimeter of a rectangle is 128 inches. if the length of the rectangle is 8 less than twice the width, what are the dimensions of the rectangle? let l represent the length and w represent the width.
Click here to see answer by stanbon(25959)

Question 233608: One side of a triangle is 2 cm shorter than the base, x. The other side is 3 cm longer that the base. What lengths of the base will allow the perimeter of the triangle to be at least 46 cm?
Click here to see answer by Earlsdon(4871)

Question 233628: What volume of each of a 5% acid solution and a 70% acid solution should be combined to form 44 mL of a 50% solution? Set up the appropriate euations and solve the system using the inverse of the coefficient matrix.
Click here to see answer by Earlsdon(4871)

Question 233607: One side of a triangle is 2 cm shorter than the base, x. The other side is 3 cm longer that the base. What lengths of the base will allow the perimeter of the triangle to be at least 46 cm?
Click here to see answer by nerdybill(2413)

Question 233622: An airplane has a total of 387 seats. The number of coach-class seats is 2 more than 4 times the number of first-class seats. How many of each type of seat are there on the plane?
Click here to see answer by stanbon(25959)

Question 233623: When three pumps, A, B, and C, are running together, they can pump 3500 gal per hour. When only A and B are running, 2100 gal per hour can be pumped. When only A and C are running, 2400 gal per hour can be pumped. What is the pumping capacity of each pump?
Click here to see answer by Alan3354(5863)

Question 233447: Your family is planning to open a restaurant. You need an initial investmetn of $85,000. Each week your costs will be about $7,400. If your weekly revenue is $8,000, how many weeks will it take to break even. Show equation #1 and equation #2.
Click here to see answer by checkley77(6671)

Question 233482: the sum of two numbers is -63. the first number minus the second is -41. find the numbers.

Click here to see answer by checkley77(6671)

Question 233371: what is the sum of three consecutive integers if it is 48. determine the 3 integers.
Click here to see answer by stanbon(25959)

Question 233258: A bank teller has $750 in ten and twenty dollar bills. If she has twice as many twenty dollars bills as ten dollar bills, how many of each type does she have?
____ Ten Dollar bills _______ Twenty Dollar Bills
Click here to see answer by rfer(2588)

Question 233146: how do I set up and solve this problem
we purchased 60 units and gave away three and sold the rest at twice their purchase price. The total profit eas $1188 how much did we sell them for?
Click here to see answer by ankor@dixie-net.com(6567)

Question 233196: Consider the various tasks and activities completed throughout your day. Identify once such task / activity that could be readily described via a function. Describe this particular task / activity and identify and explain the corresponding function representing this task / activity.
Click here to see answer by ly12603(33)

Question 232942: A collection of coins consisting of dimes and quarters amounts to $5.35. Twice the number of dimes exceeds the number of quarters by 5. Find the number of each kind of coin.
Click here to see answer by josmiceli(2979)

Question 232928: Twice a number equals 25 less than three times that same number. What is the number?
Click here to see answer by checkley77(6671)

Question 232750: A gold and copper bracelet weighs 238 grams. The volume of the bracelet is 15 cubic cenimeters. Gold weighs 19.3 grams per cubic cenimeter and copper weighs 9 grams per cubic cenimeter. How many grams of copper are mixed with the gold?
Click here to see answer by josmiceli(2979)

Question 232543: Your math teacher tells you that next week's test is worth 100 points and contains 38 problems. Each problem is worth either 5 points or 2 points. Because you are studying systems of linear equations, your teacher says that for extra credit you can figure out how many problems of each value are on the test. How many of each value are there?
Click here to see answer by ankor@dixie-net.com(6567)

Question 232461: I need to find a linear equation for the forest area in the sudan. In 1990 the forest area was 763814 sq.Km. In 2005 the forest area was 675458 sq km. What linear equation would show the decrease in forest area. Furthermore, what will the forest area be in 2010?
Click here to see answer by stanbon(25959)

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