Tutors Answer Your Questions about Linear-systems (FREE)
Question 1173462: Translate into an inequality
Last year, 8th grade students sold t-shirts for a fundraiser. Let t represent the number of t-shirts sold last year. This year, the 8th grade students plan to sell 40 more than twice the number of t-shirts sold last year. Their goal is to sell at least 250 shirts. Write an inequality you can use to determine the the possible number of shirts sold last year (t).
Click here to see answer by greenestamps(13200)   |
Question 1173391: A basic cellular package costs $30/month for 60 minutes of calling with an additional charge of $0.50/minute beyond that time. The cost function C(x) for using x minutes would be
If you used 60 minutes or less, i.e. if if x≤60, then C(x)=30 (the base charge).
If you used more than 60 minutes, i.e. (x−60) minutes more than the plan came with, you would pay an additional $0.50 for each of those (x−60) minutes. Your total bill would be C(x)=30+0.50(x−60).
If you want to keep your bill at $50 or lower for the month, what is the maximum number of calling minutes you can use?
Click here to see answer by greenestamps(13200) |
Question 1173390: A basic cellular package costs $30/month for 60 minutes of calling with an additional charge of $0.50/minute beyond that time. The cost function C(x) for using x minutes would be
If you used 60 minutes or less, i.e. if if x≤60, then C(x)=30 (the base charge).
If you used more than 60 minutes, i.e. (x−60) minutes more than the plan came with, you would pay an additional $0.50 for each of those (x−60) minutes. Your total bill would be C(x)=30+0.50(x−60).
If you want to keep your bill at $50 or lower for the month, what is the maximum number of calling minutes you can use?
Click here to see answer by Boreal(15235)  |
Question 1174541: Dark chocolate costs $40 dollars per pound. Mustard costs $5 per pound. Ellie wants to create a 10 pound mixture of the two items that costs $26 dollars per pound. How much dark chocolate and mustard must she buy?
Click here to see answer by ikleyn(52785)  |
Question 1174543: Nithya has money invested in 3 accounts: Account A earns 3% interest, Account B earns 4%, and Account C earns 5%. The money invested in Account B is 4,000 less than the money in account A. The money invested in Account C is twice the amount in Account A. A total of $1,540 was earned in total interest for the year. What was the total amount of money invested between the 3 accounts at the start of the year?
I tried this:
x=account A, y= account B, z= account C
0.03x=0.04y+4,000
0.05z=0.06x
0.03x+0.04y+0.05z=1540
But some numbers were negative. What's wrong with my equations?
Click here to see answer by ikleyn(52785) |
Question 1174543: Nithya has money invested in 3 accounts: Account A earns 3% interest, Account B earns 4%, and Account C earns 5%. The money invested in Account B is 4,000 less than the money in account A. The money invested in Account C is twice the amount in Account A. A total of $1,540 was earned in total interest for the year. What was the total amount of money invested between the 3 accounts at the start of the year?
I tried this:
x=account A, y= account B, z= account C
0.03x=0.04y+4,000
0.05z=0.06x
0.03x+0.04y+0.05z=1540
But some numbers were negative. What's wrong with my equations?
Click here to see answer by MathTherapy(10552)  |
Question 1175294: A linear system may have a unique solution, no solution, or infinitely many solutions. Indicate the type of the system for the following examples by U , N , or I , respectively.
2x+3y = 0
2x+4y = 0
My Work:
2x + 3y = 0 2x + 3y = 0 2x + 3(0)=0
(2x + 4y = 0)-1 -2x - 4y = 0 x=0
y = 0 Answer: infinite
Click here to see answer by MathLover1(20850)  |
Question 1175383: Lori's piggy bank has only pennies and nickels. If she has 66 coins worth $2.38, how many of each
type of coin does she have?
It asks for the equations and to solve it
At a recent concert, 1200 people purchased tickets for a total of $26,520. Reserved tickets were $32
each and general admission tickets were $20. How many of each type of ticket was sold?
I would show my attempt into doing it but I really don't know how to start it
THANK YOU SO MUCH
Click here to see answer by josgarithmetic(39617) |
Question 1175383: Lori's piggy bank has only pennies and nickels. If she has 66 coins worth $2.38, how many of each
type of coin does she have?
It asks for the equations and to solve it
At a recent concert, 1200 people purchased tickets for a total of $26,520. Reserved tickets were $32
each and general admission tickets were $20. How many of each type of ticket was sold?
I would show my attempt into doing it but I really don't know how to start it
THANK YOU SO MUCH
Click here to see answer by ikleyn(52785) |
Question 1175938: Using the rules of graphing systems of linear equations and inequalities; would you please construct a graph that best shows the area of each crop that can be planted?
A farm has an area of 50 Hectares (Ha). It is to be planted with tomatoes and potatoes. At most $8000 can be spent on planting. The planting cost for potatoes is $100/Ha and for tomatoes $200/Ha. Choose the graph that best shows the area of each crop that can be planted.
Click here to see answer by Theo(13342)  |
Question 1176115: Josh invested a total of $5000 in 2 bank stocks(TD and RB) TD bank stock increased in value by 6% and the RB increased by 7% over one year. After one year Josh investments had increased in value by $230. What was his original investment in each bank stock? Create a linear system to represent this problem.
Click here to see answer by Solver92311(821)  |
Question 1176261: You and your friends go out to lunch. Sandwiches cost $7 each and drinks cost $2 each. You buy a total of 10 items for lunch and spend a total of $40. Write a system of linear equations that describes this situation. Find the solution.
Click here to see answer by ewatrrr(24785)  |
Question 1176261: You and your friends go out to lunch. Sandwiches cost $7 each and drinks cost $2 each. You buy a total of 10 items for lunch and spend a total of $40. Write a system of linear equations that describes this situation. Find the solution.
Click here to see answer by greenestamps(13200) |
Question 1176384: Alicia has invented a new app for smart phones that two companies are interested in purchasing for a 2-year contract.
Company A is offering her $10,000 for the first month and will increase the amount each month by $5,000.
Company B is offering $500 for the first month and will double their payment each month from the previous month.
Monthly payments are made at the end of each month. For which monthly payment will company B’s payment first exceed company A’s payment?
a)6
b)7
c)8
d)9
Click here to see answer by MathLover1(20850) |
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