Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 627321: Please help me with this equation: The supply and demand equations respectively, 3q-200p+1800=0 and 3q+100p-1800=0. Where p represents the price per unit and q represents the number of units per time period. Find the equilibrium price.
Click here to see answer by solver91311(16877)  |
Question 627483: To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled.
a. Write an equation using only one variable that could be used to solve for the constant of variation k.
b. A biologist counted 12 white tail deer in a 100-acre parcel of land in a nature preserve. Find the constant of variation k.
c. If the entire nature preserve is 2,500 acres, then what is the total white tail deer population in the preserve? Describe how you arrived at your answer.
Click here to see answer by stanbon(57328) |
Question 627570: Formulate a system of equations for the situation below and solve.
Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of one-bedroom units and two- and three-bedroom townhouses. A total of 168 units is planned, and the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one-bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex.
one-bedroom units ____? units
two-bedroom townhouses _____? units
three-bedroom townhouses _______? units
Click here to see answer by ewatrrr(10682)  |
Question 627692: Thirty minutes after a father left for work on the bus, he noticed that he had left his briefcase at home. His son left hom driving at 40mph, to catch the bus that was traveling at 24mph. How long did it take the son to catch the bus?
Click here to see answer by solver91311(16877)  |
Question 627692: Thirty minutes after a father left for work on the bus, he noticed that he had left his briefcase at home. His son left hom driving at 40mph, to catch the bus that was traveling at 24mph. How long did it take the son to catch the bus?
Click here to see answer by ewatrrr(10682)  |
Question 627709: A family has two cars. The first car has a fuel efficiency of miles per gallon of gas and the second has a fuel efficiency of miles per gallon of gas. During one particular week, the two cars went a combined total of miles, for a total gas consumption of gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by richwmiller(9135)  |
Question 628326: please , i find it difficult deducing the equation in this problem
Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system. The Sega system costs $600 more than the sum of the Atari and the Nintendo systems. All together, the three game systems cost $11,000. The Atari system costs $1100 less than the Nintendo. Determine how much Timmy paid for each game system.
Click here to see answer by Earlsdon(6287) |
Question 628464: Here is my question....How would I know, in a linear story problem, that I would need to use X and Y variables or I could use only X variable? I cannot seem to grasp the relationships in the problems that would tell me to only use X or to use X and Y. And my instructor was not able to explain it either. Thank you for your help.
Click here to see answer by jim_thompson5910(28593) |
Question 628550: The cost of renting a certain type of car is $50 per day plus $0.07 per 22) mile. A linear function that expresses the cost C of renting a car for one
day as a function of the number of miles driven x is C(x) = 0.07x + 50.
How many miles were driven if the rental cost for one day is $75.90?
Click here to see answer by ewatrrr(10682)  |
Question 628549: The cost of renting a certain type of car is $36 per day plus $0.11 per 21) mile. A linear function that expresses the cost C of renting a car for one
day as a function of the number of miles driven x is C(x) = 0.11x + 36.
What is the rental cost for one day if 200 miles are driven?
Click here to see answer by ewatrrr(10682)  |
Question 628834: The height of a new building in China will be 859 feet. Neglecting air resistance, the height of an object dropped from this building at time t seconds would be given by the polynomial -16t^2+859. Find the height of the object at time t=4 seconds.
Click here to see answer by richwmiller(9135)  |
Question 629386: How many gallons of 30% alcohol solution and 45% alcohol solution must be mixed to get 9 gallons of 35% alcohol solution ?
How much of each solution is used, 30% and 45% ?
I really do not understand how to work this problem out, I'm confused and my answers don't make sence.
Click here to see answer by Alan3354(30993)  |
Question 629384: If the larger of two numbers is 3 more than 3 times the smaller. If the smaller number is subtracted from the larger and the result is 15, what are the two numbers ?
I am having the hardest time with these word problems no matter what I do I get the wrong answer, Please help me ?
Click here to see answer by josmiceli(9672)  |
Question 629810: A company orders two types of parts , brass and steel . One shipment contains 3 brass and 10 steel parts and costs $48. A second shipment contains 7 brass and 4 steel parts and costs $54. Find the cost of each type of part .
Click here to see answer by solver91311(16877)  |
Question 629810: A company orders two types of parts , brass and steel . One shipment contains 3 brass and 10 steel parts and costs $48. A second shipment contains 7 brass and 4 steel parts and costs $54. Find the cost of each type of part .
Click here to see answer by richwmiller(9135)  |
Question 629810: A company orders two types of parts , brass and steel . One shipment contains 3 brass and 10 steel parts and costs $48. A second shipment contains 7 brass and 4 steel parts and costs $54. Find the cost of each type of part .
Click here to see answer by stanbon(57328) |
Question 629961: Hi!!!
I need help with the following question..
"Is the ordered pair a solution of the equation?
y=x +16; (-1, -17)
a.yes
b.no
please help step by step... i would like to know now to do it and also learn
thanks!!
Click here to see answer by josmiceli(9672)  |
Question 630034: The cost for an exterminator to treat a 1500 sq ft home is $65.00 and the cos for a 3000 sq ft home is $80.00.
What is the linear equation?
What is the slope?
What is the y-intercept?
How much would it cost for a 2100 sq ft home?
Click here to see answer by ewatrrr(10682)  |
Question 630304: In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 11A (amperes), the resistance is 20 ohms. What is the current when the resistance is 22 ohms?
Click here to see answer by josmiceli(9672)  |
Question 630304: In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 11A (amperes), the resistance is 20 ohms. What is the current when the resistance is 22 ohms?
Click here to see answer by dfrazzetto(277)  |
Question 630491: Joy is an instructional assistant in one of the college labs. She is on a very tight budget. She loves Jamaican Blue Mountain coffee, but it costs $14 a pound. She decides to blend this with regular coffee beans that costs $2.13 a pound. If she spends $14.25 on 2 pounds of coffee, how many pounds of each did she purchase?
Click here to see answer by richwmiller(9135)  |
Question 630771: Can someone please help me with a word problem?
Here is the word problem that I am trying to solve:
"A tugboat goes 180 miles upstream in 10 minutes. The return trip downstream takes 5 minutes. Find the speed of the tugboat without a current and the speed of the current."
I assigned the x variable to the tugboat and the y variable to the current. It makes sense to me that if I divide 180 by 10, the speed of the tugboat without the current would be 18 mph. It also makes sense to me that if the tugboat made the return trip downstream in half the time, the current needs to be moving at the same speed as the tugboat to increase the speed of the boat by 2. If the boat made the trip in half the time, it had to be moving twice as fast. We are working on linear equations in two variables, and I am having difficulty writing two equations to solve this problem. If I knew the two equations, I would have no trouble solving them. Thanks!
Click here to see answer by richwmiller(9135)  |
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