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algebra word problems..?
6. Several students decide to start a T-shirt company. After initial expenses of $280, they purchase each T-shirt wholesale for $3.99. They sell each T-shirt for $10.99. How many must they sell to break even?
8. John flies from Atlanta to San Francisco. It takes 5.6 hours to travel 2100 miles against the head wind. At the same time Debby flies from San Francisco to Atlanta. Her plane travels the same acerage airspeed but, with a tail wind, her flight only takes 4.8 hours.
a. Write a system of equations that relates time, airspeed, and wind direction to distance for each traveler.
b. Solve the system to find the airspeed
c. Find the wind speed.
19. Suppose you are flying an ultralight aircraft. You fly to a nearby town. With a tail wind, the triop takes 1/3 hour. Your return flight with a head wind takes 3/5 hour.
a. Find the average airspeed of the ultralight aircraft.
b. Find the average windspeed.
Okay I need help setting these up, and solving them.
I won't give you answers, but I'll give you some tips to try to teach you how to do them yourself.
6. The term "break even" means that all the money they make has to even out with the money they spent. You want to create an algebraic equation showing that the money they spent is equal to the money they made. The money they made and spent changes due to how many that they produce and sell.
8. Distance = Rate x Time
This one is actually pretty hard to teach because I'm not sure how familiar you are with the material. Basically, the "airspeed" is the same for both directions and the headwind is the same number as tailwind, but you add tailwind to the airspeed and subtract the headwind.
19a. Average speed = total distance / total time
However, since there is no distance stated, this problem is impossible.
19b. Again, it is difficult to teach you how to figure out the windspeed without giving away the answer since I don't know how how knowledgeable you are on this subject. And again, this problem is impossible since there is no distance stated. You probably forgot to write it in this question.
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