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

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Question 430403: In 1920, the record for a certain race was 45.1 seconds. In 1950, it was 44.8 seconds. Let R(t)= the record in the race and t= the number of years since 1920. Find a linear function that fits the data. Find the year when the record will be 44.12 sec.
Click here to see answer by nerdybill(7008)

Question 430459: Find two consecutive positive and odd integers such that the difference of their squares is 64
Click here to see answer by Alan3354(31529)

Question 430459: Find two consecutive positive and odd integers such that the difference of their squares is 64
Click here to see answer by Gersid(33)

Question 430501: Solve by substitution
x + 3x = 5
-2x + y = 4
Click here to see answer by ewatrrr(10682)

Question 430491: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.6x^2+18x+12, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Click here to see answer by ewatrrr(10682)

Question 430534: Heather's school is charging $12 per uniform plus $200 fees and Brandon's School is charging $14 per uniform plus $196 fees
C = 12n + 200
C = 14n + 196
When will the two equations break even? Use substitution or elimination method
Click here to see answer by ewatrrr(10682)

Question 430538: Rearrange to solve for x
2x + 4y = 4
Click here to see answer by jorel1380(2518)

Question 430610: I need help making a system of equations using this word problem:
Janice is selling souvenir T-shirts at the annual Fiddle Contest in Bushnell Park. Her expenses are $400 to rent the booth and $5 for the blank T-shirts. After printing the design she will then sell them for $17 each. How many T-shirts must she sell to break even?

Click here to see answer by stanbon(57967)

Question 430699: TRYING TO GET THROUGH A VERY TUFF NINE WEEKS OF ALGEBRA AND I'M ALMOST THERE! HOWEVER I COULD USE SOME HELP WITH AN ASSIGNMENT THAT I HONESTLY DO NOT KNOW HOW TO DO. COULD SOMEONE PLEASE HELP ME???? I TRIED COPYING THE ASSIGNMENT HERE AND IT WON'T ALLOW ME TO COPY ANY FORMUALS. COULD SOMEONE WIRTE BACK TO ME WITH AN E-MAIL SO I CAN SEND THE ASSIGNMENT TO YOU BY ATTACHING IT TO AN E-MAIL. I WOULD BE EXTREMELY GREATFUL! THANK YOU SO VERY MUCH IN ADVANCE TO ANYONE THAT TAKES THE TIME HERE TO ANSWER AND HELP ME WITH THIS :-)

BRIDGET
Click here to see answer by oberobic(2304)

Question 430705: Three burritos and two tacos cost $11.50, and two burritos and three tacos cost $11. How much does one taco cost?
Click here to see answer by jorel1380(2518)

Question 430705: Three burritos and two tacos cost $11.50, and two burritos and three tacos cost $11. How much does one taco cost?
Click here to see answer by stanbon(57967)

Question 430705: Three burritos and two tacos cost $11.50, and two burritos and three tacos cost $11. How much does one taco cost?
Click here to see answer by oberobic(2304)

Question 430860: two families attend the town ice cream social every summer. this year one family paid $9.75 for 3 adult tickets and 5 children tickets. Another family paid $10.75 for 5 adult tickets 1child ticket.Find the price of the child's tickets.
Click here to see answer by mananth(12270)

Question 431025: quantities pand q are always in the same ratio. if p=5 when q=2 what is the value of p when q=5
Click here to see answer by ewatrrr(10682)

Question 431025: quantities pand q are always in the same ratio. if p=5 when q=2 what is the value of p when q=5
Click here to see answer by shree840(260)

Question 431025: quantities pand q are always in the same ratio. if p=5 when q=2 what is the value of p when q=5
Click here to see answer by checkley79(3056)

Question 431128: I'm trying to help my stepson do his math. Writing Equations from Word Problems. I don't know how to do this.
The problem is:
7 less than triple a number is the same as the sum of the number and 12. Find the number.
I managed to write out: 7-3*n=n+12
Where do I go from here?
Thank You
Click here to see answer by ankor@dixie-net.com(15746)

Question 431492: Recently, AT&T offered two long-distance calling plans. The One-Rate (r) seven cent Plus Plan cost $4.95 per month plus 7 cents a minute. Another plan has no monthly fee, but costs 10 cents a minute. For what number of minutes will the two plans cost the same?
I'm sure this is simple for someone to do, however I have a teacher that doesn't exactly teach. If someone could explain to me how to answer this by way of elimination method I would be most appreciative.

Click here to see answer by htmentor(808)

Question 432429: the total number of democrats and republicans in the u.s. house of representatives during the 109th session was 434. There were 30 more republicans than democrats. How many members of each party were there?
Click here to see answer by belle3833(46)

Question 432714: Dennis the manace collected cans to take to the recycling center. 52 cans earned him $4.91 and 64 cans earned him $5.87.
(a).find a prediction:
(b).how much would he earn if he recycles 107 cans?
(c).how many cans did he recycle if he earned $7.87.
Click here to see answer by josmiceli(9817)

Question 432874: Arthur bought three hamburgers and four hot dogs for $10. The next day, he bought two hamburgers and three hot dogs for $7. How much does a hot dog cost?
Click here to see answer by mananth(12270)

Question 432976: A movie theater charges $9 for adults and $7 for senior citizens. On a day when 325 people paid admission, the total receipts were $2495. How many people who paid were adults? How many were senior citizens?

Click here to see answer by mananth(12270)

Question 433004: You move a distance of 200 feet in five seconds. Use unt fraction to determine your speed in miles per hour. show work.
Click here to see answer by ewatrrr(10682)

Question 433004: You move a distance of 200 feet in five seconds. Use unt fraction to determine your speed in miles per hour. show work.
Click here to see answer by htmentor(808)

Question 433072: Here is the Problem:
I have a family of 4 (2 adults, 2 children). I need to compare the cost for between a daily pass and yearly pass for the aqaurium. The family will generally visit the aqauriom 5 times per year. Which option will be most advantageous based on the number of yearly visits.
The cost of the Yearly pass is as follows:
Adult Yearly pass is $62.95
Child yearly Pass is $45.95
The Daily pass is as follows:
Adult pass is $24.95
The child is $18.95
I need to develop a linear algebraic equation using either substituion or elimination method showing where the two the two cost options are equivilalent, showing all work.
I also then need to depict this on a graph.
Please help.
I can be reached at oasisrm@hotmail.com
Thanks
Click here to see answer by stanbon(57967)

Question 433171: I think a certain number.If I multiply it by 6 and ad (-18) to the product and take away one third of the sum I will get(-2).What is the number?
Click here to see answer by stanbon(57967)

Question 433235: a store mixes kenyan coffee worth $12 per kilogram and Venezuelan coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram. Find how much of each should be used to make a 324-kilogram mixture.
Click here to see answer by jorel1380(2518)

Question 433353: A crew team rows in a river with a current. When the team rows with current, the boat travels 14 mi in 2hr. Against the current, the team rows 6 mi in the same amount of time. At what speed does the team row in still water?
Click here to see answer by jorel1380(2518)

Question 433352: Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japn would cost $74.79. How much does an average movie ticket cost in each of these countries?
In Japan the average cost is?
In Switzerland the average cost is?

Click here to see answer by jorel1380(2518)

Question 433560: You are making 10 tons of concrete that is
62% cement by mixing a 20% cement mixture
with a 80% cement mixture.
a) How much of the 80% cement mixture
must you use?
Answer in units of tons.
Help me!
Click here to see answer by lwsshak3(6761)

Question 433575: Each unit of grain A contains 2 grams of fat and 80 calories, and unit B has 3 grams of fat and 60 calories. If the final product is to provide 18 grams of fat and 480 calories, how much of each type of grain should be used. I think A is 3 and B is 4, but I don't know how to show it.
Click here to see answer by mananth(12270)

Question 433341: the perimeter of a triangle is 63 centimeters. the longest side is 5 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the longest side. Find the lenghts of each side of the triangle.
Click here to see answer by lwsshak3(6761)

Question 433467: amy paid 76.31 for a pair of running shoes during a 40% off sale. What was the regular price?
Click here to see answer by lwsshak3(6761)

Question 433185: The intensity of a TV signal varies inversely as the square of the distance from the transmitter. If the intensity is 23 watts per square meter (w/m^2) at adistance of 2km, what is the intensity at a didtance of 15km
Click here to see answer by lwsshak3(6761)

Question 433597: Chris can construct a robot on an erector set in 7 hours. His friend, Cristobal, can construct a robot using the same materials in 8 hours. How long would it take them to construct a robot if they both worked together?
Click here to see answer by stanbon(57967)

Question 433184: A coworker at the palams TV factory drives 15 mph faster than you. In the same time that the coworker travels 12 miles, you travel 7.5 miles to work. How fast is you coworker driving?
Click here to see answer by lwsshak3(6761)

Question 433598: Anita and Reginald both enjoy rollerblading as an afternoon activity. Anita can run a particular course called the Silver Comet Trail in 7 hours. Reginald is able to rollerblade the same course in 5 hours. If Reginald and Anita start at opposite ends of the trail and rollerblade towards each other, how much time will have passed when they meet? (Hint: Think about this problem as a "working together problem")
Click here to see answer by lwsshak3(6761)

Question 433596: Kyle can deliver all of the newspapers on a given paper route in three hours. Jessica can deliver all the newspapers on the same route in five hours. How long would it take them to deliver newspapers if they both work together?
Click here to see answer by robertb(4012)

Question 433587: find the equation of the line passing through (7,-1) and parallel to 4x-y=3
Click here to see answer by robertb(4012)

Question 433585: find the equation of the line passing through (-1,3) and perpendicular 3x+2y=0
Click here to see answer by robertb(4012)

Question 433099: you can use the function b=-0.01t^2 + 0.8t to find the number of bushels b of walcuts produced on an acre of land. The variable t represents the number of trees per acre
Graph this function. What number per acre gives the greatest yield?
How many walnut trees would you advise a farmer to plant on 5 acres of land? Explain you reasoning?
Click here to see answer by lwsshak3(6761)

Question 432706: Party city will provide and deliver balloons for rasheed's birthday party for 10$ plus 50 cents per balloon.
write a linear equation to represent the relationship.
Click here to see answer by lwsshak3(6761)

Question 433657: You are given the equation 3a + b = 200 where a and b are positive integers. Determine the number of solutions (a,b) for the given equation.
HELP!!!!!!!!!!!!!!!!!
Click here to see answer by psbhowmick(529)

Question 434330: what is the slope of the line?
y=1/-2x+3
what is the x-intercept of the line?
Y=5x+6
what is the Y-INTERCEPT OF THE LINE?
y-2/3X+2=0

Click here to see answer by stanbon(57967)

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