Tutors Answer Your Questions about Linear-systems (FREE)
Question 947335: In 2005 the international price of gold was $432 per ounce and the international price of silver was $7.35 per ounce. Supposed gold and silver were mixed to obtain 15 ounces of an alloy worth $177.21 per ounce? How much of each was used in the alloy?
Can you solve using systems with 2 variables? Thank you!
Click here to see answer by josgarithmetic(39618) |
Question 947404:
There are at most 12 bicycles and tricycles in a school playground. There are at least 17 wheels altogether. Let b equal the number of bicycles and t equal the number of tricycles. Which system describes this situation?
b + t <= 12 2b + 3t >=17
b + t <=12 2b + 3t <= 17
b + t <= 12 2b + 3t > 17
b + t < 12 2b + 3t >=17
Click here to see answer by addingup(3677)  |
Question 947404:
There are at most 12 bicycles and tricycles in a school playground. There are at least 17 wheels altogether. Let b equal the number of bicycles and t equal the number of tricycles. Which system describes this situation?
b + t <= 12 2b + 3t >=17
b + t <=12 2b + 3t <= 17
b + t <= 12 2b + 3t > 17
b + t < 12 2b + 3t >=17
Click here to see answer by stanbon(75887) |
Question 947788: Jamie wants to start a landscaping business. He buys $750 worth of equipment. Expenses for labor and gas are $12. He charges $50 per lawn. How many lawns does he have to landscape to break even? Write and solve a system of linear equations.
Click here to see answer by josmiceli(19441)  |
Question 947943:
Suppose you spend $500.00 on an oven to bake bread. Each loaf of bread costs you $.20 to bake. You sell the loaves for $1.00 each. How many loaves of bread must you sell to break even?
620 loaves
630 loaves
625 loaves
615 loaves
Click here to see answer by macston(5194)  |
Question 947958: Tickets to a school play either cost $2 or $3, depending on the age of the buyer. The total amount of money brought in was at most $282.
Write a linear inequality that describes the situation.
2x + 3y > 282
2x + 3y >= 282
2x + 3y < 282
2x + 3y <=282
Click here to see answer by stanbon(75887) |
Question 947945: Write a system of equations to model the situation.
An amusement park charges admission plus a fee for each ride. Admission plus two rides costs $10. Admission plus five rides cost $16.
a + r = 10 and a + r = 16
2a + 2r = 10 and 2a + 5r = 16
a + 2r = 10 and a + 5r = 16
2a + 2r = 10 and 5a + 5r = 16
Click here to see answer by Fombitz(32388)  |
Question 947942:
Use a system of equations to model the situation and then solve by any method.
An orchestra consists of string instruments and wind instruments in a ratio of 9 to 4. There are 91 string and wind instruments in the orchestra. How many string instruments are there? How many wind instruments?
63 string instruments 28 wind instruments
65 string instruments 26 wind instruments
60 string instruments 31 wind instruments
72 string instruments 19 wind instruments
Click here to see answer by MathLover1(20850)  |
Question 947942:
Use a system of equations to model the situation and then solve by any method.
An orchestra consists of string instruments and wind instruments in a ratio of 9 to 4. There are 91 string and wind instruments in the orchestra. How many string instruments are there? How many wind instruments?
63 string instruments 28 wind instruments
65 string instruments 26 wind instruments
60 string instruments 31 wind instruments
72 string instruments 19 wind instruments
Click here to see answer by MathTherapy(10552)  |
Question 948222: Two fishermen go ice fishing one morning. By noon, fisherman Dan has 6 fish and is catching 2 fish per hour. Fisherman Fred has 4 fish and is catching 3 per hour. Assume they will continue catching fish at the same rate.
A. Write a system of equations that relates the time to the total fish caught.
B. Solve your system using either substitution or elimination. Make sure to show all of your work for full credit.
C. Based upon your work in Part B, at what time will Fred and Dan have the same number of fish, and how many fish will they each have?
Click here to see answer by stanbon(75887) |
Question 948229: At the fair, you buy 3 sausage sandwiches and a milkshake and it costs you $8.25. Your friend buys 1 sausage sandwich and 2 milkshakes and her total is $5.25. What is the cost of one sandwich and one milkshake?
A. Write a system of equations for this situation.
B. Solve your system using either elimination or substitution. Make sure to show your work for full credit.
Click here to see answer by amarjeeth123(569) |
Question 948226: A family goes to a school play. Two adult tickets and 1 student ticket costs $8.75. Another family needs 1 adult ticket and 4 student tickets. Their total cost was $10.50. Find the price of each ticket.
A. Write a system of equations for this situation.
B. Solve your system using substitution or elimination. Make sure to show all your work for full credit.
Click here to see answer by stanbon(75887) |
Question 948225: At the fair, you buy 3 sausage sandwiches and a milkshake and it costs you $8.25. Your friend buys 1 sausage sandwich and 2 milkshakes and her total is $5.25. What is the cost of one sandwich and one milkshake?
A. Write a system of equations for this situation.
B. Solve your system using either elimination or substitution. Make sure to show your work for full credit.
Click here to see answer by Fombitz(32388)  |
Question 948323: a. Lily and Rosie are sisters. The sum of their ages is 19 and the positive difference of their age is 9. Set up a system of equations involving Lily's age, L, and Rosie's age, R, assuming Lily is the older child.
b. Solve the system to find their ages.
Click here to see answer by Fombitz(32388)  |
Question 948328: PhotoLab charges $9.00 for processing a 24-exposure roll of film and $12.00 for processing a 36-exposure roll. After their class trip, Mr. Renkens' 8th grade class sent 22 rolls of film to be developed and paid $219 for processing.
A. Write a system of equations to describe the situation.
B. Find the number of rolls of 24-exposure and the number of 36-exposure film that were processed using either elimination or substitution. Make sure to show your work for full credit.
Click here to see answer by macston(5194)  |
Question 948381: Company A Spent a total of $11 million on advertising in fiscal year 2010, 2011, and 2012. The amount spent in 2012 was three times the amount spent in 2010. The amount spent in 2011 was $3 million less than the amount spent in 2012. How much was spent on advertising each year.
My attempt to set-up the system:
x + y + z = 11
y - z = 3
z = 3x
Click here to see answer by MathLover1(20850)  |
Question 948488: School sweatshirts cost $8 or $12 depending on the size (youth or adult). The total amount of money brought in at a Friday morning spirit sale was at most $216.00.
Write a linear inequality to describe this situation
Click here to see answer by stanbon(75887) |
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