Tutors Answer Your Questions about Linear-systems (FREE)
Question 1188636: 1.The amount of copper ore produce from a copper mine in Arizona is modeled by the function f(x)=200+32x
Where x is the number of year's since 2005, and f(x) is measured in thousands of tons.
a. Sketch the graph of f.
b. What is slope of the graph?
c. At what rate is the amount of ore produced changing?
Click here to see answer by ikleyn(52787)   |
Question 1186974: The cost of renting a car is $46 /wk plus $0.25 /mi traveled during that week. An equation to represent the cost would be y=46+0.25x , where x is the number of miles traveled.
a. What is your cost if you travel 59 mi?
The cost is $____
b. If your cost was $66.25 , how many miles were you charged for traveling?
You were charged for traveling _____ miles.
c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?____
Click here to see answer by Boreal(15235)  |
Question 1188965: A textbook store sold a combined total of 363 physics and chemistry textbooks in a week. The number of chemistry textbooks sold was 51 less than the number of physics textbooks sold. How many textbooks of each type were sold?
Click here to see answer by Alan3354(69443)  |
Question 1188970: A cable company charges $70 per month for cable service to existing customers. Find a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer. Use x as your variable.
Click here to see answer by ikleyn(52787) |
Question 1189157: A manufacturer's earnings can be represented by a linear function.
For an order of 60 stand fan, it earns Php. 7,000 and for 100 order,
it earns Php. 15,000.
a, write the linear function
b. how many electric fans must be manufactured to guarantee an earning of Php. 45,000?
c. how much would the manufacturer earn if it accepted an order of 200 electric fans?
d. If the manufacturer has a maximum earning of Php. 75,000 what is the most number of orders of electric fans has it?
Click here to see answer by Theo(13342)  |
Question 1189304: The cost of renting a car is $42/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=42+0.25x, where x is the number of miles traveled.
What is your cost if you travel 53 miles?
If your cost was $63.00, how many miles were you charged for traveling?
Suppose you have a maximum of $100 to spend for the car rental.
What would be the maximum number of miles you could travel?
Click here to see answer by ikleyn(52787) |
Question 1187163: Sarah has $8 and wants to buy a combination of cupcakes and fudge to feed at least four siblings. Each cupcake costs $2, and each piece of fudge costs $1.
This system of inequalities models the scenario:
2x + y ≤ 8
x + y ≥ 4
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically. (3 points)
Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Click here to see answer by Theo(13342) |
Question 1189539: A person leaves their work and heads home 5km away. They walk at 5km/h during the start but then it starts to rain so they run the rest of the way at 12km/h. They leave at 5:30pm and arrives home at 6:09 pm. Create a system of equations. How far did the person run for? How long did the person walk for?
Click here to see answer by josgarithmetic(39617) |
Question 1189539: A person leaves their work and heads home 5km away. They walk at 5km/h during the start but then it starts to rain so they run the rest of the way at 12km/h. They leave at 5:30pm and arrives home at 6:09 pm. Create a system of equations. How far did the person run for? How long did the person walk for?
Click here to see answer by ikleyn(52787) |
Question 1189539: A person leaves their work and heads home 5km away. They walk at 5km/h during the start but then it starts to rain so they run the rest of the way at 12km/h. They leave at 5:30pm and arrives home at 6:09 pm. Create a system of equations. How far did the person run for? How long did the person walk for?
Click here to see answer by Alan3354(69443) |
Question 1189540: A person leaves their work and heads home 5km away. They walk at 5km/h during the start but then it starts to rain so they run the rest of the way at 12km/h. They leave at 5:30pm and arrives home at 6:09 pm. Create a system of equations. How far did the person run for? How long did the person walk for?
Click here to see answer by josgarithmetic(39617) |
Question 1189633: Coin piler is a typesetter who on the average 0.5 error per page, what is the
Probability that she will make no error in the first t = 10 pages?
What is probability that she will make exactly 5 error in the first 10 pages?
Click here to see answer by Boreal(15235) |
Question 1189659: A particle moves in a straight line with velocity v(t)=root(3t-1) metres per second where t is time in seconds.At t=2, the particle's distance from the starding point was 8 meters in the positive direction. What is the particle's position at t=7seconds?
Click here to see answer by math_tutor2020(3817) |
Question 1189658: A particle moves in a straight line with velocity v(t)=r00t(3t-1)metres per second where t is time in seconds. At t=2, the particle's distance from the starding point was 8 meters in the positive direction. What is the particle's position at t=7 seconds?
Click here to see answer by math_tutor2020(3817) |
Question 1189724: A delivery truck Is transporting boxes of two sizes: large and small. The large boxes weigh 45 pounds each, and the small boxes weigh 35 pounds each. There
are 120 boxes in all. If the truck is carrying a total of 4850 pounds in boxes, how many of each type of box is it carrying?
Click here to see answer by ikleyn(52787) |
Question 1189729: The Smith family and the Cooper family each used their sprinklers last summer. The Smith family's sprinkler was used for 15 hours. The Cooper family's
sprinkler was used for 25 hours. There was a combined total output of 1075 L of water. What was the water output rate for each sprinkler if the sum of the two
rates was 55 L per hour?
Click here to see answer by Boreal(15235) |
Question 1189732: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $25 and same-day tickets cost $40. For one performance
there were 55 tickets sold in all, and the total amount paid for them was $1600. How many tickets of each type were sold?
Click here to see answer by Alan3354(69443) |
Question 1189664: If R is a region between the graphs of the function f(x)=sinx and g(x)=cosx over the interval [0,pie]
a) find the area of rigion R
b)Define R as the region bounded above by the graph of the function f(x)=root x and below by the graph of the function g(x)=1 over the interval[1,4].find the volume of the solid of the revolution generated by revolving R around the Y-axis.
Click here to see answer by Alan3354(69443) |
Question 1189664: If R is a region between the graphs of the function f(x)=sinx and g(x)=cosx over the interval [0,pie]
a) find the area of rigion R
b)Define R as the region bounded above by the graph of the function f(x)=root x and below by the graph of the function g(x)=1 over the interval[1,4].find the volume of the solid of the revolution generated by revolving R around the Y-axis.
Click here to see answer by ikleyn(52787) |
Question 1189806: A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $57. The total cost to rent 12 chairs and 2 tables is $39.
What is the cost to rent each chair and each table?
Click here to see answer by ikleyn(52787) |
Question 1189814: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 8 small boxes has a total weight of 91 kilograr
delivery of 5 large boxes and 2 small boxes has a total weight of 78 kilograms. How much does each type of box weigh?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1189833: A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 50
gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Click here to see answer by josgarithmetic(39617) |
Question 1189846: A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 50
gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand ? Gallons
Second brand ? Gallons
Click here to see answer by Theo(13342) |
Question 1189846: A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 50
gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand ? Gallons
Second brand ? Gallons
Click here to see answer by greenestamps(13200)  |
Question 1189858: The Royal Fruit Company produces two types of fruit drinks. The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. The company is
attempting to produce a fruit drink that contains 95% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 220
pints of a mixture that is 95% pure fruit juice?
First drink ? Pints
Second drink ? Pints
Click here to see answer by josgarithmetic(39617) |
Question 1189831: Espano
Joe the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 3 clients who did Plan A and 5 who did Plan B. On Tuesday there were 6 clients who did Plan A and 2 who did Plan B. Joe trained his Monday clients for a
total of 10 hours and his Tuesday clients for a total of 10 hours. How long does each of the workout plans last?
Click here to see answer by math_tutor2020(3817) |
Question 1189885: The Royal Fruit Company produces two types of fruit drinks. The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. The company is
attempting to produce a fruit drink that contains 95% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 220
pints of a mixture that is 95% pure fruit juice?
First drink ? Pints
Second drink ? Pints
Click here to see answer by mananth(16946)  |
Question 1189885: The Royal Fruit Company produces two types of fruit drinks. The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. The company is
attempting to produce a fruit drink that contains 95% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 220
pints of a mixture that is 95% pure fruit juice?
First drink ? Pints
Second drink ? Pints
Click here to see answer by greenestamps(13200) |
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