Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 171782: I have no idea how to do this problem. Maybe you can help?
Two typists are working on a statistical report. To finish on time, together they need to type at least 30 pages per day. This is the first time typist A has typed material that contains mostly numbers, so she may be expected to type no more than 2/3 as many pages as typist B. What are the acceptable combinations of typing output that the typists might produce in a day?
Write a system of two inequalities that describes this situtation.
Click here to see answer by Mathtut(3670)  |
Question 172437: A chemist wants to make 200 mL of acid solution with a concentration of 48%. He wants to make this from two solutions with 60% and 40% concentration respectively. How much of each solution should he use? (Hint: The amount of acid in the final mixture is the sum of the amounts contributed by each solution.)
Click here to see answer by Mathtut(3670) |
Question 172456: To make 10 kg of aluminum alloy with 60% aluminum, a scientist wants to use two metals with 45% and 70% aluminum content respectively. How much of each metal should she use? (Hint: The amount of aluminum in the alloy is the sum of the amounts in the original meatls.)
Click here to see answer by Mathtut(3670) |
Question 172531: I would appreciate any help on the below question. I came up with P = -x + 62. I am not sure if this is correct or if it should be P = -x + 104.
1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
a. Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
Click here to see answer by Mathtut(3670) |
Question 172531: I would appreciate any help on the below question. I came up with P = -x + 62. I am not sure if this is correct or if it should be P = -x + 104.
1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
a. Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
Click here to see answer by Earlsdon(6287) |
Question 172531: I would appreciate any help on the below question. I came up with P = -x + 62. I am not sure if this is correct or if it should be P = -x + 104.
1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
a. Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
Click here to see answer by josmiceli(9661)  |
Question 172545: Can anyone help to make sure I have this correct. I appreciate any help. Thanks !!!
Q1. Substitute p = -x + 62 into the equation R = xp to find the revenue equation. Provide your answer in simplified form.
I come up with R = -x^2 + 62. Is this correct?
Q2. Find the Profit Equation by substituting your equations for R and C in the equation P = R - C. Simplify the equation.
If R = -x^2 + 62 and C = 6x + 300 I come up with P = -x^2 -6x + 238. Is this correct?
Click here to see answer by Mathtut(3670) |
Question 172909: Hello I have been working on this problem for 2 days. I can do the graphing stuff myself once I figure out hot to write the correct equation and which method to use to solve it. But every equation Icome up with just doesn't seem right, and then when I graph the coordnates it looks wrong. Thank you in advance!
You are responsible for determining the amount of food to carry on a 2-year space mission to the planet Mars for 4 astronauts. Each astronaut requires a minimum of 2000 calories per day and a minimum of 100g of protein per day.
The astronauts will be eating “pellets” for the duration of the mission. There are two types of pellets available. The red pellets contain 250g of protein and 2500 calories per kilogram and the green pellets contain 100g of protein and 7500 calories per kilogram.
Write an inequality to express the quantities of pellets that would meet the astronauts’ calorie requirements for the duration of the mission. Graph the inequality. Do the same thing for the protein requirements. Then, plot both inequalities on the same graph but only shade the area where the two inequalities overlap.
You developed and graphed two inequalities for the quantity of food pellets to carry on a mission to Mars. The weight of supplies that the spacecraft can carry is limited. Write an inequality to express that the total amount of food pellets must not exceed 2000 Kg and graph it. Then, plot the graph of this inequality on the graph of the two inequalities from DQ #2. What does the region where all three inequalities overlap represent?
Click here to see answer by stanbon(57250) |
Question 173103: The length of a rectangular park is 2 times greater than its width.
The park is framed by sidewalk that is 2 m wide.
The area of the park is increased by 136m square if the sidewalk is included.
What is the area of the park without the surrounding sidewalk ?
Show the work.
Click here to see answer by nerdybill(6951)  |
Question 173103: The length of a rectangular park is 2 times greater than its width.
The park is framed by sidewalk that is 2 m wide.
The area of the park is increased by 136m square if the sidewalk is included.
What is the area of the park without the surrounding sidewalk ?
Show the work.
Click here to see answer by checkley77(12569) |
Question 173103: The length of a rectangular park is 2 times greater than its width.
The park is framed by sidewalk that is 2 m wide.
The area of the park is increased by 136m square if the sidewalk is included.
What is the area of the park without the surrounding sidewalk ?
Show the work.
Click here to see answer by Alan3354(30983)  |
Question 173134: Good day! I tried solving this problem. but, honestly, word problems in linear equations in one variable are quite confusing for me. I'm sorry for my weakness. i hope that you can help me.
Problem: a) Given the non-right angles in a right triangle, if twice the first is 16 more than twice the second, find the angles.
thank you very much. God bless you.
Click here to see answer by stanbon(57250) |
Question 173134: Good day! I tried solving this problem. but, honestly, word problems in linear equations in one variable are quite confusing for me. I'm sorry for my weakness. i hope that you can help me.
Problem: a) Given the non-right angles in a right triangle, if twice the first is 16 more than twice the second, find the angles.
thank you very much. God bless you.
Click here to see answer by jim_thompson5910(28504) |
Question 173699: Harold invested $30,000 in various stocks and bonds. He earned 6% on his bonds and 12% on his stocks. If Harold's total profit on both types of investments was $2,460, how much of the $30,000 did he invest in bonds?
At first I thought this had to have two variables, but I couldn't work it out. I tried adding .06(30,000)x + .12(30,000)2x(because .12 is twice .06) =2460 But the interest rate and the amount invested don't seem related! Please help!
Click here to see answer by Mathtut(3670) |
Question 173699: Harold invested $30,000 in various stocks and bonds. He earned 6% on his bonds and 12% on his stocks. If Harold's total profit on both types of investments was $2,460, how much of the $30,000 did he invest in bonds?
At first I thought this had to have two variables, but I couldn't work it out. I tried adding .06(30,000)x + .12(30,000)2x(because .12 is twice .06) =2460 But the interest rate and the amount invested don't seem related! Please help!
Click here to see answer by solver91311(16872)  |
Question 173808: An investor has $10,000 to invest in three types of bonds: short term, medium term and long term bonds. Short term bonds have a return of 4% anually, medium bonds have a return of 5% anually and long term bonds have a return of 6% anually. The investor wants a anual return of 5.1% with equal investments in short and medium term bonds. How much does he have to invest in long term bonds?
Click here to see answer by josmiceli(9661) |
Question 174300: Okay......my girlfriend and I both have tried to solve this problem and we get stuck. We're not sure if we are to use the slope point form or not. Here's the word problem:
The basal energy requirement B is the number of calories that a person needs to maintain the life process. For a 28 year old female with a height of 160 cm and a weight of 45 kilograms, B is 1300 calories. If her weight increased to 50 kg, then B is 1365 calories. There is a linear equation that expresses B in terms of her weight w. Finds the equation and find the basal energy requirement if her weight is 53.2 kg.
Click here to see answer by jim_thompson5910(28504) |
Question 174330: The financial institution has asked your firm to place some spot advertisements. The financial institution wants you to find the best allocation of ads between 2 of the local media outlets.
The company you have chosen to handle the transaction has estimated the average number of potential new customers reached per spot announcement to be 1,500 for radio and 500 for newspaper. The price for each spot announcement is $500 for radio and $200 for newspaper as long as the minimum guaranteed number is exceeded. The customer wants a total of 45,000 potential customers reached for which they will pay $16,000. Find the proper number of spot announcements to fit the customer’s request of potential customers reached and fee charged.
There are two standard plans for radio/newspaper ad combinations that give a reduced price (but same price for each spot) if you use them. These discounts are included in the $16,000 charge. The first spot plan is for the weekend and has one radio spot/weekend and one newspaper spot/weekend. The second spot plan is for during the 5-day work week and has two radio spots/week and four newspaper spots/week. These plans are also available on holidays but not at an extra discounted rate. Find the corresponding number of week and weekend spot plans.
I am DESPERATE at this point. I am an online student and have two classes for each lesson, 1 or 2 discussion boards or 1 DB and an independent project. This is one of my DB's. I have atteneded the classes on this section, read the book and took other lessons on line. I do not grasp linear equations. I have already done the next assignment, algebaric sets and done wonderfully. My teacher has corresponded through e-mail with me about these problems, and I STILL do not understand them. PLEASE HELP!
Click here to see answer by Mathtut(3670) |
Question 174451: During a halftime show, a baton twirler releases her baton from a point 4 feet above the ground with an initial vertical velocity of 25 feet per second. Use a vertical motion model to write a function for the height h (in feet) of the baton after t seconds then graph the function and label the vertex.
Please show all work possible and any strategies used in depth. Thank You for your time and help! =) Hope to hear from you soon.
Click here to see answer by ankor@dixie-net.com(15639)  |
Question 174463: You are planning an ornamental garden that has a total area of 200 square feet. There are two sizes of ornamental plants you have chosen for your garden. Each small plant requires 2.5 square feet of space and each large plant requires 8 square feet of space. This situation can be modeled by the equation  where x is the number of small plants and y is the number of large plants to be placed in the garden. What are three possible numbers of small plants and large plants that you can plant in the garden?
Click here to see answer by ankor@dixie-net.com(15639) |
Question 174555: 500 students are enrolled in at least two of these three classes: Math, English, and History. 170 are enrolled in both Math and English, 150 are enrolled in both History and English, and 300 are enrolled in Math and History. How many of the 500 students are enrolled in all three?
Click here to see answer by rapaljer(4667)  |
Question 174702: a grocer mixes together some cashews costing $8 per kilogram with some Brazil nuts costing $10 per kilogram. The grocer sold 12 kg of the mixture for $8.50 per kilogram. how many kilograms of cashsews were in the mixture the grocer sold?
Click here to see answer by Mathtut(3670) |
Question 174918: Define your variables and write the system of inequalities to describe the following situation.and graph the solution: Anna earns $4 an hour shoveling snow on weekends. She also earns $8 an hour babysitting. She needs to earn at least $200 per week, but she must work no more than 40 hours per week.
Click here to see answer by ankor@dixie-net.com(15639) |
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