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

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 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 203002: I know how to do the problem I just cant figure out how to set the problem up(translate). Thank you. 21.How many gallons of a 12% solution must be mixed with a 20% solution to get 10 gallons of a 14% solution. 32.A movie theater has two ticket prices: \$8 for adults and \$5 for children. If the box office took in \$4116 from sales of 600 tickets, how many tickets of each kind were sold? Click here to see answer by scott8148(6628)

 Question 203006: 33. Crystal owns and operates a gourmet tea and coffee shop. Monica, who is one of Crystal's best customer, wants to buy two kinds of beans: Arabian Mocha and Colombian Decaf. If she wants twice as much Mocha as Decaf, how much of each can she buy for a total of \$87.50? 45. Atlanta and Cincinnati are 440 mi apart. John leaves Cincinnati, driving toward Atlanta at an average speed of 60 mph. Pat leaves Atlanta at the same time, driving toward Cincinnati in her antique auto, averaging 28 mph. How long will it take them to meet? Click here to see answer by rfer(12657)

 Question 203061: I need help with this word problem please. On three consecutive passes, a football team gains 9 yards, loses 26yards and gains 28yards. What number represents the total net yardage? The total net yardage is ? yards. Click here to see answer by Earlsdon(6287)

 Question 203037: This quesion is from aplus.cmcss.net not a book. max is 24 years older than his son liam. in two years liam will be half as old as max. how old is liam now? and max? i assumed it could be put like this but it has not been working for me. m= l + 24 l= 1/2m + 2 Click here to see answer by ankor@dixie-net.com(15647)

 Question 203043: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color? Click here to see answer by checkley77(12569)

 Question 203111: find two consecutive integers whose sum is 89. to solve this problem, let x be the smaller of these integers. what's the larger of these two consecutive integers? write an equation that says that this sum is equal to 89. sole this equation What are the two numbers? Click here to see answer by rfer(12657)
 Question 203111: find two consecutive integers whose sum is 89. to solve this problem, let x be the smaller of these integers. what's the larger of these two consecutive integers? write an equation that says that this sum is equal to 89. sole this equation What are the two numbers? Click here to see answer by solver91311(16877)

 Question 203114: A new virus is released on the internet; the administrator of a department's Local Area Network (LAN) is given five minutes by a manager to estimate the impact. The administrator samples 12 of the PCs connected to the LAN and finds that 7 are infected. Use a proportion to estimate the number of infected PCs if there are a total of 216 PCs connected to the LAN. Click here to see answer by rfer(12657)

 Question 203112: A lawyer bills her clients \$300 per hour of service. If a client's case requires 17 hours to complete, use a proportion to calculate how much the client will owe the lawyer (excluding tax). Click here to see answer by rfer(12657)

 Question 203161: A study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the woman were married 2 or more times. Based on the study results , how man woman in a group of 5,000 woman over the age of 35 would likely be married 2 or more times? Click here to see answer by rfer(12657)

 Question 203159: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jake can mix 20 drinks in 15 minutes, how much time will it take all 3 of them to mix 20 drinks if they work together? Click here to see answer by rfer(12657)
 Question 203159: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jake can mix 20 drinks in 15 minutes, how much time will it take all 3 of them to mix 20 drinks if they work together? Click here to see answer by MathTherapy(1422)

 Question 203243: 1.The approximate speed that a car was traveling when the brakes are suddenly applied can be determined by the police using the equation S=4.47L^1/2 where Sis the speed of the car in miles per hour and L is the length of the skid marks left by the tires in feet. If 169-foot long skid marks were left by a car, at what speed was it traveling when the breaks were applied. Click here to see answer by nerdybill(6958)

 Question 203284: The height, h (in feet), of a falling object on Mars is given by h=-6t^2+s , where t is the time in seconds and s is the initial height in feet. If an object were dropped from a height of 237 feet, how long would it take to travel half the distance to the ground? (Round to two decimal places.) Click here to see answer by ankor@dixie-net.com(15647)

 Question 203304: Please I need help with word problem! In 1994, the life expectancy of males in a certain country was 61.5 years. In 2001, it was 65.1 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994. The liner function E(t) that fits the date is E(t)=? +? Use th e function to predict the life expectancy of males in 2009. E(15)=? First point (0, 65.1) Second point (7, 65.1) M= 65.1-65.1 ------------------ 0-7 E(t)=0.7-65.1 E(15)=0.5(t)+65.1 E(15)=72.6 Thank you! Click here to see answer by stanbon(57290)

 Question 203283: The equation h=-16t^2+47t+3 gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. How long does it take for the football to hit the ground? Click here to see answer by ankor@dixie-net.com(15647)

 Question 203282: A rocket is launched from atop a 92 foot cliff with an initial vertical velocity of 112 feet per second. The height of the rocket t seconds after launch is given by the equation h= -16t^2+112t+92. Graph the equation to find out how long after the rocket is launched it will hit the ground. Estimate your answer to the nearest tenth of a second. Click here to see answer by Earlsdon(6287)

 Question 203118: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are? Click here to see answer by ankor@dixie-net.com(15647)

 Question 203357: Please help me with this word problem. The equation y= -1777x + 27.153 can be used to predict the number y of the gun death in the United Stats X years after 2000, that is x=0 corresponds to 2000, x=2 corresponds to 2002, x=6 corresponds to 2006, and so on. Predict the number of gun deaths in 2006 and 2007. In what year will the number of gun deaths be 12,937? The predict gun deaths in 2006 will be ? The predict gun deaths in 2007 will be ? The predict number of gun deaths will be 12,937in the year ? Thank you so much!!!! Click here to see answer by stanbon(57290)

 Question 203373: Five times a number plus 2 equals 4 less than seven times the number. To find this number, denote it by x. (A) write a formula that represents five times x plus 2. (b) write a formula that represents 4 less than seven times x. write an equation that says that the expression in (a) equals the expression in (b). solve this equation. Click here to see answer by stanbon(57290)

 Question 203553: I need help solving: An express train and a local train both leave Gray's Lake at 12:00 noon and head for Chicago 60 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train. Click here to see answer by promotion analysis(5)

 Question 203551: Can you help me solve this word question in the form of an algebraic equation? One year age Walt invested \$12,000. He invested part of the money at 7% and the rest at 9%. He made a total of \$970 in interest. How much was invested at 7%? Click here to see answer by Earlsdon(6287)

 Question 203550: Can you help me with this word problem? Dave has a collection of nickles and dimes that is worth \$6.05. If the number of dimes was doubled and the number of nickels was decreases by 10, the value of the coins would be \$9.85. How many dimes and nickles does he have? Click here to see answer by scott8148(6628)

 Question 203600: celeste wants to have her hair cut and permed and also go to lunch. She knows she will need \$59. the perm cost twice as much as her haircut and she needs \$5 for lunch. Click here to see answer by nerdybill(6958)

 Question 203619: the ten's digit of a number is 5 times the unit's digit. what is the number? Click here to see answer by checkley77(12569)

 Question 203710: Cashews sell for \$1.20 per quarter-pound and Brazil nuts sell for \$1.50 per quarter-pound. How many pounds of cashews should be mixed with 20 pounds of Brazil nuts to get a mix that sells for \$1.30 per quarter-pound? Click here to see answer by edjones(7569)

 Question 203908: The Florin High School Sophmore class plans to sell sodas and candy at the homecoming dance. They are planning to sell sodas for \$1.50 and candy for \$1.25. Their goal is to reach a total of \$375.00 in sales. If they sell 125 sodas, how much candy do they need to sell to meet their goal? Click here to see answer by rfer(12657)

 Question 203942: The cliff divers of Acapulco amaze tourists with their diving skills. The velocity v of a diver is a function of the time t the diver has fallen, v=2 feet per second when t=0 seconds and v=66 feet per second when t=2 seconds. a. Write a linear function that represents the velocity v as a function of time t. b. Interpret the slope of this function in the context of the problem. c. Interpret the y-intercept of this function in the context of the problem. Click here to see answer by stanbon(57290)

 Question 203995: Four times the sum of the digits of a two-digit number is equal to the number. It the digits are reversed, the resulting number is 27 greater than the original number. What is the number? Click here to see answer by ankor@dixie-net.com(15647)

 Question 204444: 1. A rectangular field is to be enclosed by 600m of fence. What dimensions will give the maximum area? What is the maximum area? 2. The captain of a riverboat charges \$36 per person including lunch. The cruise averages 300 customers a day. The captain is considering increasing the price. A survey of the customers indicates that for every \$2 increase, there would be 10 fewer customers. What increase in price would maximize the revenue? Click here to see answer by solver91311(16877)

 Question 204674: Given f(x) = 3x - 3, what are the domain and the range for f? Click here to see answer by jim_thompson5910(28548)

 Question 204673: 3x - 6 = 2y If x is 8, what point (ordered pair) satisfies the equation? Click here to see answer by Earlsdon(6287)

 Question 204671: As you know my brother Jim is an avid fisherman. He varies the depth at which he fishes according to the following function: D(t) = -t2 + 10t where t is measured in hours. Estimate the time when he fishes at the greatest depth and tell me that depth. Click here to see answer by Earlsdon(6287)

 Question 204734: State the center and the radius of the circle given X^2-10X+y^2-8y=8. I dont even know how to solve this. Click here to see answer by Earlsdon(6287)

 Question 204733: Find the equation of a st.line through (-3,2) that is perpendicular to x+3y=6. Write the equation of the st.line in standard form. *So far I have X+3y=6 -X -X =3y= -x+6 but according to my notes its im missing a step. Can you please help. Click here to see answer by scott8148(6628)

 Question 204823: A bird takes 30 minutes to make a 3kilometer round trip between 2 trees. Flying 1/4 m against the wind on the first half of the trip takes the same time as flying 1/2 m with the wind on the return flight. Find the speed of the bird in still air and the speed of the wind. Click here to see answer by stanbon(57290)

 Question 204855: On two occasions last month, Sam rented a car on a business trip. Both times it was the same model from the same company, and both times it was in San Francisco. Sam now has to fill out an expense account form and needs to know how much he was charged per mile and the base rate. On both occasions he only got the total charge and not the details. All Sam knows is that he was charged \$210 on for 625 mi on the first occasion and \$133.50 for 370 mi on the second trip. Plot these two points on a graph and draw a line that goes through them. After plotting these two points on a graph and drawing the line that goes through them, answer the following: What is the equation of the line in the slope intercept form of the equation? In your own words, explain what question the slope of the line answers for Sam. What does the y intercept tell Sam and how does it help him? Click here to see answer by stanbon(57290)

 Question 204995: the question is: if we begin a graph of f(x)=the square root of x, shift 4 units to the right, shrink vertically by a factor of 1/2 , and shift upward 10 units, write an equation for the transformed graph. so far I have: (the square root of x)- 4(four units to the right) + 10( 10 units upwards) I do not know how to do with the part that says shrink vertically by 1/2 Click here to see answer by stanbon(57290)

 Question 205027: How many apples are on each tray if man carrying a square tray dropped his onto floor and girl carrying 4 trays drops 1 row of apples off each tray and there are 77 on the floor? Is it ax^2+bx+c=0? If so, is 1(x)2+4(x)-77=0? How do I get the number representing how many apples are on each tray? Thank you, Click here to see answer by ptaylor(2048)

 Question 205104: The tens digit of a two-digit number is half the units digit. If their difference is 4, what is the number? Click here to see answer by stanbon(57290)

 Question 205250: TJ plans to erect 132 feet of fencing around his rectangular garden, using his house as one side of the garden. Each width (x) is 3 feet longer than twice the length (y). Find the dimensions of the garden. Click here to see answer by checkley77(12569)

 Question 205260: I am trying to figure out a "word" problem. It goes, Let W be all the words in English. A relation L is defined from W to the positivei ntegers that associates each word with the number of letters in the word. For example, L(the)=3 since the word the has three letters. The question is: a) What pairs in L have second coordinate 1? b) Is this relation a function and explain. If I am using a word sample, I cannot come up with any words that would have a second coordinate of 1. The word "I" = 1 or would any letter in the alphabet have a coordinate of 1 but the question is asking for pairs. Thanks, Lori Click here to see answer by stanbon(57290)

 Question 205314: Graph the compound inequality. Write the solution using interval notation. x<-3 or x>2 Click here to see answer by stanbon(57290)

 Question 205361: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 60 points. They won 12 games than they tied,. How many wins and how many ties did the team have? Click here to see answer by Earlsdon(6287)

 Question 205401: The difference between two numbers is 15. When twice the smaller number is subtracted from three times the larger number the difference is 58. What is the larger number? Click here to see answer by alicealc(281)

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