Tutors Answer Your Questions about Linear-equations (FREE)
Question 24309: It is necessary to have a 40% antifreeze solution in the radiator of the certain car. The radiator now has 70liters of 20% solution. How many liters of this should be drained and replaced with 100% Antifreeze to get the desired strength?
Click here to see answer by Paul(988)  |
Question 24305: I have the following equations: 2x-y=4 and 3x+2y=6. I need to make a word problem based on the situation listed in the equations above. How can I do this? When I solve it, it appears that y=0? I wanted to use a situation which included purchasing items at a store. Thanks
Click here to see answer by venugopalramana(3286) |
Question 24507: My daughter is helping her neice on an algebra problem. It has been a while since she has done algebra. She loves to help tutor students but is stumped.
How do you work the problem:
3x - y = 3
Click here to see answer by elima(1433) |
Question 24658: I am completely stumped by this question. Here it is.
if x = y/z then solve the equation for z.
It looks simple, and it probably is, I am just horrible at math. I need this fast, it is very important. Thank you for any help.
Click here to see answer by wuwei96815(245) |
Question 25165: Please help me solve this equation:  . i have tried it several times and can not seem to up with the answer that is in the back of the book. i am missing a step somewhere along the line. i have repeated came up with the answer as x=-1.
Click here to see answer by rapaljer(4671)  |
Question 25301: I'm trying to help my daughter with her homework to no avail. Please help.
7y-x-1=y-(2x+1)
Solve for y in terms of x.
This is what we have got so far.
7y-y-x-1=y-y-(2x+1)
6y-x-1=2x+1
6y-x-1-1=2x-1-1
6y-x=2x
6y-x-x=2x-x
6y=x
6y/6=x/6
y=1/6x
but the answer is supposed to be -1/6x. Where did I go wrong?
Click here to see answer by kev82(151) |
Question 25377: Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost? Hint: You have two unknowns (variables), so you need two equations. Write one equation for each situation and solve the system of equations.
Let p = the cost of one pear
Let a = the cost of one apple
a. Write a system of equations that can be used to determine the cost of pears and apples.
b. Determine the cost of one pear and one apple. Use mathematics to explain how you determined your answer.
2. There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were $3825. How many students bought tickets?
Let a = the number of adult tickets purchased.
Let s = the number of student tickets purchased.
a. Write a system of equations that can be used to determine the number of adult and student tickets purchased.
b. Determine the number of adults tickets sold and the number of student tickets sold. Use mathematics to explain how you determined your answer.
3. An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind took 5 hours. Find the speed of the airplane in still air. This similar to the current problem as you have to consider the 25 mph tailwind and headwind.
Let r = the rate or speed of the airplane in still air.
Let d = the distance
a. Write a system of equations for the airplane. One equation will be for the outbound trip with tailwind of 25 mph. The second equation will be for the return trip with headwind of 25 mph.
b. Solve the system of equations for the speed of the airplane in still air.
4. Your family likes to go to baseball games. At one game your family bought 5 soft drinks and 5 hot dogs for $22.25. At the next game your family attended they bought 4 soft drinks and 3 hot dogs for $14.50. What is the cost of one soft drink and one hot dog?
Let s = the cost of one soft drink
Let h = the cost of one hot dog
a. Write a system of equations modeling the situation described above.
b. Solve the system for the cost of one soft drink + one hot dog. (You will have to add your solutions together for this one.)
5. Suppose you just have just enough dimes and quarters to pay for a loaf of bread and quart of milk, which cost $3.45. You have a total of 15 dimes and quarters.
Let d = the number of dimes you have.
Let q = the number of quarters you have.
a. Write a system of equations that models the information given above.
b. Solve the system for the number of dimes and quarters you have. You may want to solve this by graphing
Click here to see answer by Paul(988) |
Question 25383: Jerry and Lucy have $29,000 invested in stocks paying 5%. How much additional money should they invest in certificates of deposit paying 2% so that the total return on the two investments is 3%?
I have tried so many solutions and can't figure it out
Click here to see answer by Earlsdon(6294) |
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