Tutors Answer Your Questions about Linear-equations (FREE)
Question 1145797: It's 90 miles from Alphatown to Brightside. It's another 120 miles from Brightside to C-town. Brayden drives 20 miles faster from Brightside to C-town than from Alphatown to Brightside. If his combined travel time is 7.5 hours, what are his average speeds?
What is the speed from Alphatown to Brightside?
and
What is the speed from Brightside to C-Town
Click here to see answer by josgarithmetic(39617) |
Question 1145917: A factory makes three products called Spring, Autumn, and Winter, from three materialscontaining Cotton, Wool and Silk. The following table provides details on the sales price,production cost and purchase cost per ton of products and materials respectively.Sales price Production costPurchase priceSpring$60$5Cotton$30Autumn$55$4Wool$45Winter$60$5Silk$50The maximal demand (in tons) for each product, the minimum cotton and wool propor-tion in each product is as follows:Demandmin Cotton proportionmin Wool proportionSpring450050%30%Autumn300050%40%Winter350040%50%a) Formulate an LP model for the factory that maximises the profit, while satisfying thedemand and the cotton and wool proportion constraints
Click here to see answer by ikleyn(52781)  |
Question 1146339: A cruise ship made a trip to Vancouver and back. The trip to Vancouver took 8 hours, and the trip back took 12 hours. The ship averaged a speed of 18 km/hour on the trip back. What was the ship's average speed on the trip to Vancouver?
Click here to see answer by Alan3354(69443)  |
Question 1146339: A cruise ship made a trip to Vancouver and back. The trip to Vancouver took 8 hours, and the trip back took 12 hours. The ship averaged a speed of 18 km/hour on the trip back. What was the ship's average speed on the trip to Vancouver?
Click here to see answer by greenestamps(13200)  |
Question 1146555: A coffee distributor needs to mix a(n) House coffee blend that normally sells for $9.20 per pound with a Rift Valley coffee blend that normally sells for $11.10 per pound to create 10 pounds of a coffee that can sell for $9.39 per pound. How many pounds of each kind of coffee should they mix?
Answer: they must mix
(Round your answers to the nearest whole number of pounds.)
Click here to see answer by greenestamps(13200)  |
Question 1146741: From 2000 through 2014, the percentage of Americans living below the poverty level is given approximately by P = 11.36 + 0.28t, where t is the time, in years, since 2000.†
(a)According to this model, what percentage of Americans lived below the poverty level in 2010? (The actual number is 15.1%.)
_________ % *I answered this question with 14.16% and it is correct. I just need help on part B below.
(b)What is the slope of this linear function?
_________ %/yr
Click here to see answer by josgarithmetic(39617) |
Question 1146742: When you are 18 years old you have a hair that is 17 centimeters long, and your hair grows about 12 centimeters each year. Let H(t) be the length, in centimeters, of that hair t years after age 18.
(a) Find a formula that gives H as a linear function of t.
H = ___________ *I found this answer to be 12t+17, which was correct. Now I need help with part B.
(b) How long will it take for the hair to reach a length of 117 centimeters? (Round your answer to two decimal places.)
______________ yr
Click here to see answer by josgarithmetic(39617) |
Question 1146743: The speed of sound in air changes with the temperature. When the temperature T is 32 degrees Fahrenheit, the speed S of sound is 1087.5 feet per second. For each degree increase in temperature, the speed of sound increases by 1.1 feet per second. (Round your answers to two decimal places.)
(a) Explain why speed S is a linear function of temperature T.
Because S always increases by 1.1 when T increases by ____________ , S has a constant rate of change and is a linear function of T.
Identify the slope of the function. ________________
(b) Use a formula to express S as a linear function of T.
S =___________________
(c) Solve for T in the equation from part (b) to obtain a formula for temperature T as a linear function of speed S.
T =___________________
(d) Explain in practical terms the meaning of the slope of the function you found in part (c).
The slope of T as a linear function of S is ____________ , and this means that an increase in the speed of sound by 1 foot per second corresponds to an increase of ______________ degree in temperature.
Click here to see answer by josgarithmetic(39617) |
Question 1146783: A cathedral ceiling is 8 feet high at the west wall of a room. As you go from the west wall toward the east wall, the ceiling slants upward. Three feet from the west wall, the ceiling is 10.5 feet high.
(c) You want to install a light in the ceiling as far away from the west wall as possible. You intend to change the bulb, when required, by standing near the top of your small stepladder. If you stand on the highest safe step of your stepladder, you can reach 18 feet high. How far from the west wall should you install the light? (Round your answer to one decimal place.)
*I have already tried 10.8 and Rise/Run. Not sure how to complete this one..
Click here to see answer by Theo(13342)  |
Question 1146780: A company manufactures slides. The top of the slide is 7 feet high. The bottom is 9 feet away.
If the coordinate axes are chosen as shown in the figure, find the slope of the slide. (Round your answer to two decimal places.)
____________ ft per ft
*I have tried -0.78, and -0.80 already..
Click here to see answer by Boreal(15235)  |
Question 1146999: The current population of a small city is 41000 people. Due to a loss of jobs, the population is decreasing by an average of 175 people per year. How many years (from now) will it take for the population to decrease to 38025 people?
A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use x as your variable and use no commas in your equation.
The equation is
B) Solve your equation in part [A] for x.
Answer: x=
Click here to see answer by josmiceli(19441)  |
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