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Tutors Answer Your Questions about Linear Algebra (FREE)
Question 224442: Suppose you need to solve a system of equations in which both equations represent lines. How many solutions can your system have?
How many solutions does the following equations have?
8x+4y=8
2x-2y=-4
Click here to see answer by drj(1380)  |
Question 227928: Suppose the length of a rectanle is 3cm longer than twice the width and that the peimeter is 90cm. Setup an equation for the perimeter involving only W the width. solve this equation algebraically to find length and find the width as well?
Click here to see answer by checkley77(7035)  |
Question 229422: In my year 5 class of 30 children some students play tennis, some play basketball, some play both sports and some do not play either sports. How many students play both sports if 18 play tennis, 15 play basketball and 4 do not play either sport?
Click here to see answer by edjones(3291)  |
Question 230253: Just wondering if I did this problem right? Thank you for checking.
The city mileage is 17 mpg and the highway is 26 mpg (“kbb“, 2009). Taking this in mind, we are going to find out how many miles we can go with 50 gallons of gas, where x equals the number of miles driven.
17=x/50
17*50=x
x=850 city miles on a tank of gas equaling 50 gallons.
Check: 850÷50=17
26=x/50
26*50=x
x=1300 highway miles on a tank of gas equaling 50 gallons.
Check: 1300÷50=26
Click here to see answer by solver91311(5072)  |
Question 230248: My question is calculating D=sqrt(2h). D representing how many miles a person can see the horizon from a height, h in feet. Find the corresponding distance you should be able to see the horizon. Include height and the calculations.
D=sqrt (2h)
D= sqrt2(800)
[D=sqrt1600]^2
D=40 miles a person can see the horizon.
I was just wondering if I did this correctly? Thank you
Click here to see answer by solver91311(5072)  |
Question 234341: You save money from a job. You invest some of it in a cd account that yields 8% interest yearly and the rest in a bond that yields 6% interest yearly
C=the amount of money invested in the cd and B=the amount invested on the bond. You earn $84 interest in a year
Write an equation relating C,B and the amount of money earned
Click here to see answer by checkley77(7035)  |
Question 236560: To produce a 16% alcohol solution, a chemist mixes a 20% alcohol solution and a 14% alcohol solution. How much 20% solution and how much 14% solution must be used to product 15 L of a 16% alcohol solution?
Would really appreciate any help. I am studying for an exam tomorrow. Thanks.
Click here to see answer by checkley77(7035)  |
Question 237908: Write a linear system as a model of the following situation, then solve.
Your school's star basketball player was excited about his play during the last game. He remembered that he scored 3-point shots, but couldn't recall how many free throws (worth 1 point each) and field goals (worth 2 points each) he scored. The scorekeeper said he had scored 20 times for 34 points.
How many field goals did he make? How many free throws did he make?
Click here to see answer by solver91311(5072)  |
Question 238099: Kay wants a rectangular area in the greenhouse reserved for African Violets. She says the width of the area must be one foot less than the length. She also tells me the area must be at least 12 square feet. What widths would satisfy Kay's requirements?
Click here to see answer by solver91311(5072)  |
Question 238098: The length of Jim's leader is always 2 feet shorter than the length of his fishing rod. If the product of the length of the leader and the length of the rod equals the strength of his line in pounds and he uses a 16-lb line, what is the length of his leader?
Click here to see answer by Stitch(43)  |
Question 238271: Planning a fundraiser your club plans to raise money by selling two sizes of fruit baskets. The plan is to buy small baskets for $10, and sell them for $16 and to buy large baskets for $15 and sell them for $25. The club president estimates that you will not sell more than 100 baskets. Your club can afford to spend up to 1200 dollars to buy the baskets. Find the number of small and large fruit baskets you should buy in order to maximize profit. Let x be small baskets and y be large.
Objective function: P= _x+_y
Constraints: (really need help with)
Click here to see answer by solver91311(5072)  |
Question 239585: h(x)=23
and i have to state whether the equation or function is linear and if no i have to explain
but i have no clue how to figure out if a equation is linear i can tell if it is graphed and etc.
please help me!!!!!
Click here to see answer by Alan3354(6059)  |
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