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

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Question 266611: Twice a number is 60 more than five times the number. What is the number?

Click here to see answer by richwmiller(9135)

Question 266816: When a 757 passenger jet begins its descent to the Ronald Regan International Airport in Washington, D.C, it is 3900 feet from the ground. Its angle of descent is 6 degrees.
A. What is the plane’s ground distance to the air port?
B. How far must the plane fly to reach the runway?

Click here to see answer by stanbon(57290)

Question 266953: A number, twice that number, and one-third of that number are added. The result is 20
Click here to see answer by JBarnum(2044)

Question 267038: A bullet is shot into the air at an initial rate of 900 feet per second from a height of 9 feet. How high does the bullet travel?
Click here to see answer by Alan3354(30993)

Question 267050: Find the minimum distance between the curve y = x^2 + 2x + 2 and the point (-1, 1).
Click here to see answer by Alan3354(30993)

Question 267060: Tickets for a concert were priced at $8 for students and $10 for non students. there were 1500 tickets sold for a total of $12500. how many student tickets were sold?
Click here to see answer by scott8148(6628)

Question 267048: The line 3x + 15y = 3 is tangent to f(x) at (-4, 1). Find f'(-4).
Click here to see answer by jim_thompson5910(28545)

Question 267202: Ina Crespo rowed 7.5 miles down the Habashabee River in 1.5 hrs, but the return trip took her 2.5 hrs. Find the rate Ina rows in still water and the rate of the current
Click here to see answer by drk(1908)

Question 267359: Can you please provide the algebraic expression for this word problem.
Play tickets for two adults and two children cost $24. A child's ticket costs half as much as an adult's ticket. Find the cost of a child's ticket.
Click here to see answer by scott8148(6628)

Question 267589: Penny is making punch for Sam's party. The recipe requires twice as much orange juice as cranberry juice and 8 times as much ginger ale as cranberry juice. if she plans to make 176 ounces of punch, how much of each ingredient should she use?
Click here to see answer by ptaylor(2048)

Question 267414: You inherit $13,000 and decide to invest the money in two different investments, one paying 10% and the other paying 14%. After 6 months your investments are worth $13,741. How much did you invest in each account?
Click here to see answer by ankor@dixie-net.com(15646)

Question 267850: A line which shows that the boundary line is not part of the solution of inequality?
Click here to see answer by stanbon(57290)

Question 267848: It is a system with exactly one solution?

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Question 267929: Mardi received an inheritance of $50,000. She invested part at 7% and deposited the remainder in tax-free bonds at 12%. Her total annual income from the investments was $4500 Find the amount invested at 7%.
Click here to see answer by palanisamy(496)

Question 268051: The sum of two numbers is 84. One number is three times the other. Find the numbers.
Click here to see answer by unlockmath(1599)

Question 268173: Ahmad has 55 miles to his destination after 38 minutes of driving, and he has 38.2 miles to his destination after 62 minutes of driving. How many miles will he have to his destination after 74 minutes of driving
Click here to see answer by richwmiller(9135)

Question 268158: How do I work this problem? Our stock posted a fall of 1 1/8 points, fell 1 3/4, and rose 1/4. What is the overall change?
Click here to see answer by ankor@dixie-net.com(15646)

Question 268626: How do you solve a linear equation when the constant isn't given?
For example: Lisa can not remember which long distance plan she has with her phone company. However, she knows that she pays a basic monthly fee and a rate per minute for long distance calls. In June her bill was 53.95 for 120 minutes of long distance calls. In July it was 68.55 for 412 minutes
Click here to see answer by josmiceli(9668)

Question 268731: Please help me solve this equation:
Click here to see answer by persian52(158)

Question 268743: A soda Machine contains 20 coins. Some of the coins are nickels and the rest are quarters. If the value of the coins is $4.40 find the number of coins of each kind.
Click here to see answer by stanbon(57290)

Question 268838: the ages of 3 brothers are consecutive even integers. three times the age of the youngest brother exceeds the oldest brother's age by 48 years. what is the age of the youngest brother?
Click here to see answer by vksarvepalli(154)

Question 268919: a disk jocky must play 12 commercial spots during an 1 hour of radio. each commercial is either 30 or 60 seconds long. If the total commercial time during 1 hour is 8 min how many 30 second and 60 second commercials were played.
30=
60=
Click here to see answer by CharlesG2(828)

Question 268501: Please Complete the ordered pairs,(10) and (-10) , so that they satisfy the 1/5x-1/10y=4 equation .
Click here to see answer by ankor@dixie-net.com(15646)

Question 268979: Two and more linear equations on the same plane form a ?????
Click here to see answer by stanbon(57290)

Question 268817: Three batteries are connected in series so that the total voltage is 54 volts. The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third battery. Find the actual voltage of each battery.
Click here to see answer by ankor@dixie-net.com(15646)

Question 269223: Gerry mixes different solutions with concentrations of 25%, 40%, and 50% to get 200 liters fo a 32% solution. Also, it takes twice the liters of the 40% solution to equal the same liters of the 25% , find how mnay liters of each kind he uses.
I have set up a table, but do not understand how the 50% factors in. Please help. Thank you!
Click here to see answer by josmiceli(9668)

Question 269262: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $30 one-time activation fee and charges .09 cents a minute. The second plan has no activation fee and charges .14 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?

Click here to see answer by checkley77(12569)

Question 269222: I need help with this word problem. I think I have 2/3 equations set up correctly, but I am stuck on writing one. Here's the problem:
During the 2003 NBA playoffs, the top-scoring player was Kobe Bryant. He scored a total of 385 points during the playoffs. The number of free throws (each worth one point) he made was 11 more than three times the number of three point field goals he made. Bryant also made 26 fewer free throws than two-point field goals. How many free throws, two point field goals, and three-point field goals did Kobe Bryant make during the playoffs?
I have x = 3y + 11
x = z - 26
x + y + z = 385
Please help!
Click here to see answer by josmiceli(9668)

Question 269327: Hi, I need some help with this word problem.
The perimeter of a triangle is 93 centimeters. If two sides are equally long and the third side in 9 centimeters longer than the others, find the lengths of the three sides.
So far this is what I get out of the word problem
a+b+c=93
Thanks for your help!
Christina
Click here to see answer by mananth(12270)

Question 269458: please help me :using the method of systems of equations i need to solve the folliwing word problem. The sum of the digits of a two-digit number is 12. If the 15 is added to the number, the result is 6 times the units digit. Find the number
Click here to see answer by drk(1908)

Question 269547: in 1990, 25.3% of adults in the US were smokers. In 2002, the percentage of adults who were smokers was 22.5%. Let y=the percent of adults who are smokers in the US and x=the numbersof years since 1990(i.e. x=0 corresponds to 1990).
Use the form y=mx+b. write an equation relating the two.
Click here to see answer by stanbon(57290)

Question 269603: The area of a rectangle is given by the following polynomial:
44t - 2t^2
If the length of one side is 2t, what is the polynomial that expresses the length of the other side?
Click here to see answer by dabanfield(803)

Question 269623: Barry is helping his friend understand how to solvesystems of equations. He wants to give her a problem to practice. He wants to give her a problem that has two lines that intersect at the point (-3,7). Help him by writing a system of equations that will have (-3,7) as a solution and demonstrate how to solve it.
Click here to see answer by stanbon(57290)

Question 269690: Sorry i don't know if this is under the right topic.
If a drink and sandwich together cost $5 and the sandwich costs 60c more than the drink how much does the drink cost.
i worked it out by
5-.60=$4.40
4.40/2=$2.20
so the drink costs $2.20 and the sandwich $2.80.
but how do i work this out using an algebric equation?
im sure its simple but i just can't get it.
thank you.
Click here to see answer by mananth(12270)

Question 269711: Please help me solve this problem:
The sum of five and a number is twenty. Find the number.
Click here to see answer by vleith(2825)

Question 268814: The length of a rectangle is 3 times the width. The difference between the length and the width is 8 feet. Determine the rectangle’s length
Click here to see answer by papugai(18)

Question 269869: Pat invested a total of $3,000. Part of the money yields 10 percent interest per year and the rest yields 8 percent interest per year. If the total yearly interest from this investment is $256, how much did Pat invest at 10 percent and how much at 8 percent?
Click here to see answer by checkley77(12569)

Question 270307: A veternarian needs a mixture that contains 12% of a certain mdeication to treat an injured bird. How many milliliters of a 16% solution should be mixed with 6mL of a 7% solution to obtain a solution that is 12% medication?
Click here to see answer by checkley77(12569)

Question 269326: Hi, I need some help with this word problem.
The perimeter of a triangle is 93 centimeters. If two sides are equally long and the third side in 9 centimeters longer than the others, find the lengths of the three sides.
So far this is what I get out of the word problem
a+b+c=93
Thanks for your help!
Christina
Click here to see answer by Alan3354(30993)

Question 270455: if a train leaves detroit at 10 pm(est)headed west toward chicago at 70 miles per hour and a train left chicago (250 miles away on the track) at 9 pm (cst) headed east on the same track going 50 miles per hour, where would they collide (in terms of miles away from detroit)?
Click here to see answer by Greenfinch(383)

Question 270653: If 6 times a number is decreased by 5, the result is 7 more than the sum of 3 times the number and 13. what is the number?
Click here to see answer by josmiceli(9668)

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