Tutors Answer Your Questions about Linear-systems (FREE)
Question 100026: the distance between two stations is 340 km.two trains start simultaneously from these stations on parallel tracks to cross each other. the speed of one of them is greater than that of the other by 5 km/hr. if the distance between the two trains after 2 hours of their start is 30 km. find the speed of each train.
Click here to see answer by ptaylor(2198)   |
Question 100310: This is my question...
Answer the following information about this line: y = 2x-3
m=_______
b=_______
Find the x or y for the following points on the above line:
(0,__) , (___, 0) , (1,___0 , (____, 9)
I am clueless how to anwser this...HELP!!!!!!
Click here to see answer by stanbon(75887) |
Question 100326: Can someone show me how this is done. I am lost
Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost?
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.
Click here to see answer by checkley71(8403) |
Question 100490: Jon invested a total of $12,000 in stocks, bonds, and mutual funds. She Received a 10% return on her stock investment, an 8% return on her bond investment, and a 12% on her mutual fund. Her total return was $1,230. If the total investment in stocks and bonds equaled her mutual fund investment, then how did she invest in each?
Click here to see answer by ptaylor(2198) |
Question 100490: Jon invested a total of $12,000 in stocks, bonds, and mutual funds. She Received a 10% return on her stock investment, an 8% return on her bond investment, and a 12% on her mutual fund. Her total return was $1,230. If the total investment in stocks and bonds equaled her mutual fund investment, then how did she invest in each?
Click here to see answer by edjones(8007)  |
Question 100795: Solve by substitution.
-4x+y= -11
2x-3y= 5
I started by isolating "x" in 2nd equation: 2x = 3y+5. I substituted the "x" in the 1st equation: -4(3y+5)+y+ -11 to get: -12y-20+y= -11.
I combined like terms to get: -11y = 9 , to get the solution for "y" - 9/11. Is this correct? If so, how do I get "x" solution?
Click here to see answer by jim_thompson5910(35256) |
Question 101019: Biotech Company is selling their product in single units for $4.17 each and in bulk bundles of 10 which cost $25.85 per bundle.
They sell 829 units of their product in one day which gives them a gross revenue of $2,426.68.
How many single units and how many bundles did they sell that day?
here is what i have so far:
4.17x + 25.85y = 2426.68
x + y = 829
for some reason i can't get the answer to work out.
Click here to see answer by doukungfoo(195)  |
Question 101028: Could someone please help me solve this question: Solve the following system of two linear equations by substitution: x + 2 y – 8 =0 & 2 x + 4 y + 4 =0.
Noting each equation represents a line, draw both lines and interpret the results.
Thank you, for taking the time to help me.
Click here to see answer by stanbon(75887) |
Question 101073: How do I do this?
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.
Click here to see answer by checkley71(8403) |
Question 101076: How do I work this problem?
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 edjones(8007) |
Question 101076: How do I work this problem?
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 stanbon(75887) |
Question 101075: 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.)
Click here to see answer by stanbon(75887) |
Question 101072: Can someone help me with this?
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
Click here to see answer by stanbon(75887) |
Question 101074: help!!
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.
Click here to see answer by scott8148(6628)  |
Question 101067: How do I do this?
At the market you purchase some apples and oranges. There were 12 items purchased. You buy twice as many apples as oranges.
a. Define the variables.
b. Write an algebraic equation using one variable for the above situation.
c. Solve this equation for the number of apples and oranges you purchase
Click here to see answer by scott8148(6628) |
Question 101260: ravish sold his motor cycle to vineet at a loss of 28% vineet spent rs. 1680/-on its repair and sold the motor cycle to rahul for rs. 35910, thereby making a profit of 12.5% find the cost price of the motor cycle for ravish.
Click here to see answer by stanbon(75887) |
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