Tutors Answer Your Questions about Systems-of-equations (FREE)
Question 713798: Melinda's father Lester is 3 times as old as Melinda. Seven years ago, he was 4 times as old as Melinda. How old is each now?
I set it up like this:
3m = L
4m = L - 7 So 4m = 3m - 7
But then I get m = -7 Which makes no sense to me.
Please help
Click here to see answer by solver91311(24713)  |
Question 715170: I am trying to solve the following problem using a system of equations.
1. A collection of nickels and quarters is worth 4.65. There are 3 more nickels than quarters. Use a system of equations to determine how many coins are in the collection.
I have n+q=4.65, and (3+n(.05))+ q(.25)=total coins, but how do I solve this?
Click here to see answer by Edwin McCravy(20054)  |
Question 715480: In his motorboat, Bill travels upstream at top speed to his favorite fishing spot, a distance of 36 miles. It takes him 2 hours. Returning, he finds that the trip downstream, still at top speed, only takes 1.5 hours. Find the speed of Bill's boat and the speed of the current.
Click here to see answer by mananth(16946)  |
Question 719919: When Butch and Kent left for their trip, the ratio of Butch's money to Kent's money was 7:3. After a short while Butch gave Kent $30, making the new ratio of their cash 3:2. When they started the trip how much more money did Butch have than Kent?
How to solve this problem the correct way? I got the answer by process of elimination (just plugging in numbers till I found the correct answer) but I would like to know how to solve the problem the correct way.
For the first ratio 7:3, I found that Butch started with $210 and Kent with $90 (ratio 7:3)(7x30=210, 3x30=90). So Butch had $120 more than Kent when they started.
For the second ratio 3:2, if Butch gave Kent $30 he would have $180 (210-30=180) and Kent would have $120 (90+30=120) ending up with the correct 3:2 ratio. (3x60=180, 2x60=120).
But how can this be solved without just plugging in numbers until the correct answer is found? Thank you.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 720082: Any help I could get on this problem would be greatly appreciated! I cannot figure it out!
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 472 feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area. Remember to reduce any fractions and simplify your answers as much as possible.
Thank you so much for any help!
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 721428: A certain region is losing about 14 million acres of rain forest each year.
a. Find a linear function f that calculates the change in acres of rain forest in millions in x years.
b. Find f(7) and interpret the results.
a. f(x)=
b. f(7)=
Interpret the results:
After____years, the region can expect to have lost about_____million acres of rain forest.
Click here to see answer by stanbon(75887) |
Question 727876: a diver jumps from a diving board that is 24 feet above the water. the height of the diver ia given by
h= -16(t-1.5)(t+1)
where the height h is measured in feet and the time t is measured in seconds. when will the diver hit the water?
Click here to see answer by KMST(5328)  |
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