Tutors Answer Your Questions about Linear-systems (FREE)
Question 1110009: Gilbert makes frequent calls from country A to country B. His calling plan costs $5.00 per month plus 7˘ per minute for calls made to a landline and 17˘ per minute for calls made to a wireless number. One month his bill was $55.50. If he talked for a total of 350 min, how many minutes were to a landline and how many minutes to a wireless number?
Click here to see answer by ikleyn(52784)   |
Question 1110231: The system of equations is graphed on the coordinate plane.
y=−1/2x−1
y=1/4x−4
A graph with a blue line passing through coordinates (0, -4) and (4, -3) and a red line passing through coordinates (0, -1) and (4, -3).
Enter the coordinates of the solution to the system of equations in the boxes.
(
,
)
Click here to see answer by Boreal(15235)  |
Question 1110274: x - y + 3z = -8
2x + 3y - z = 5
3x + 2y + 2kz = -3k
For which values of k will the system have infinitely many solutions?
^ Does this mean how do I make the last equations equal to each other, so that there's an infinite number of solutions?
b) For which values of k will the system have exactly one solution?
This part I don't get. Do I try to get rid of k? Do I find a number for k that will give me one solution? And how do I find this number? I'm really confused!
Click here to see answer by ikleyn(52784) |
Question 1110550: I'm supposed to solve these systems of equations. they are:
-5x + 4y= 3
x= 2y - 15
I'm supposed to find:
X=
y=
please help me. iv'e been trying to figure this out for a while. I don't know where to start because the second equation is throwing me off.
Click here to see answer by stanbon(75887) |
Question 1110550: I'm supposed to solve these systems of equations. they are:
-5x + 4y= 3
x= 2y - 15
I'm supposed to find:
X=
y=
please help me. iv'e been trying to figure this out for a while. I don't know where to start because the second equation is throwing me off.
Click here to see answer by ikleyn(52784) |
Question 1110439: Jack and Jill spent two weeks touring Boston, New York City, Philadelphia, and Washington D.C. They paid $120,$200,$80, and $100 per night respectively. Their total bill was $2020. The number of days spent in NYC was the same as the sum of the days spent in Boston and D.C. They spent three times as many days in NYC as they did in Philly. How many days did they stay in each city?
a) answer question using a combination of algebra and logic.
b) answer the question again using a 4x4 system of equations.
Does this mean there's another way to do this without a system of equations? That's the only way I can think of doing it. I just know that 120B+200N+80P+100W=2020.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1110439: Jack and Jill spent two weeks touring Boston, New York City, Philadelphia, and Washington D.C. They paid $120,$200,$80, and $100 per night respectively. Their total bill was $2020. The number of days spent in NYC was the same as the sum of the days spent in Boston and D.C. They spent three times as many days in NYC as they did in Philly. How many days did they stay in each city?
a) answer question using a combination of algebra and logic.
b) answer the question again using a 4x4 system of equations.
Does this mean there's another way to do this without a system of equations? That's the only way I can think of doing it. I just know that 120B+200N+80P+100W=2020.
Click here to see answer by ikleyn(52784) |
Question 1110556: Jack and Jill spent two weeks touring Boston, New York, Philly, and Washington. They paid $120, $200, $80, and $100 per night respectively. Their total bill was 2020. The number of days spent in NYC was the same as the sum of the days spent in Boston and DC. They spent three times as many days in NYC as they did in Philly. How many days did they stay in each city?
It says to answer the question using a 4x4 system of equations. I can't think of how to even start this :/
Click here to see answer by greenestamps(13200)  |
Question 1110740: Write the equation of the line passing through (32,50) with a slope of -11/16 in slope intercept form. Must show all algebraic work. Must show the original substitution of number into the equation and final answer written in slope intercept form with simplified numbers.
Click here to see answer by Alan3354(69443)  |
Question 1110741: Is the ordered pair (-1,2) a solution of the inequality 2x-y>3? Must show the original substitution of numbers ( ordered pair numbers) into the given inequality. Then simplification of each side without mixing sides. State if it is true or false. Finally state the conclusion about the ordered pair if it is a solution or not a solution.
Click here to see answer by josgarithmetic(39617) |
Question 1110741: Is the ordered pair (-1,2) a solution of the inequality 2x-y>3? Must show the original substitution of numbers ( ordered pair numbers) into the given inequality. Then simplification of each side without mixing sides. State if it is true or false. Finally state the conclusion about the ordered pair if it is a solution or not a solution.
Click here to see answer by Alan3354(69443) |
Question 1111708: A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?
First car: ______ gallons
Second car: ______ gallons
Click here to see answer by mananth(16946)  |
Question 1111708: A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?
First car: ______ gallons
Second car: ______ gallons
Click here to see answer by josgarithmetic(39617) |
Question 1111708: A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?
First car: ______ gallons
Second car: ______ gallons
Click here to see answer by greenestamps(13200) |
Question 1111712: A delivery truck is transporting boxes of two sizes: Large and small. The combined weight of a large box and a small box is 65 pounds. The truck is transporting 60 large boxes and 50 small boxes. If the truck is carrying a total of 3700 pounds in boxes, how much does each type of box weigh?
Large box: ____ pounds
Small box: _____ pounds
Click here to see answer by mananth(16946) |
Question 1111714: Ravi is driving to Los Angeles. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Ravi has 54 miles to his destination after 49 minutes of driving, and he has 37.8 miles to his destination after 67 minutes of driving. How many miles will he have to his destination after 81 minutes of driving?
Click here to see answer by ikleyn(52784) |
Question 1111763: Tamara was asked to write an example of a linear functional relationship. She wrote this example:
My baby–sitting service charges an initial $5.00 fee plus an additional $6.50 per hour.
State whether Tamara's example represents a linear functional relationship. Explain your reasoning.
Click here to see answer by rfer(16322) |
Question 1112070: I am having a difficult time figuring this one out.
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.75
If the monthly cost for 18 HCF is $49.66, what is the monthly cost for
22 HCF?
Click here to see answer by ikleyn(52784) |
Question 1112073: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of 0.09.
The monthly cost for 37 minutes of calls is $14.30. What is the monthly cost for 34 minutes of calls?
Click here to see answer by ikleyn(52784) |
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