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Question 1201029: The owner of the Rancho Los Feliz has 9000 yd of fencing with which to enclose a rectangular piece of grazing land along the straight portion of a river. Fencing is not required along the river, and the length of the fencing parallel to the river is to exceed the length of the fencing perpendicular to it by 4500 yd. Find the area of the enclosed land (in sq yd).
Click here to see answer by josgarithmetic(39617)  |
Question 1201029: The owner of the Rancho Los Feliz has 9000 yd of fencing with which to enclose a rectangular piece of grazing land along the straight portion of a river. Fencing is not required along the river, and the length of the fencing parallel to the river is to exceed the length of the fencing perpendicular to it by 4500 yd. Find the area of the enclosed land (in sq yd).
Click here to see answer by Theo(13342)  |
Question 1201031: Formulate but do not solve the problem.
The management of Hartman Rent-A-Car has allocated $2.16 million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost $16,000 each, intermediate-size cars cost $24,000 each, and full-size cars cost $32,000 each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased. (Assume that the entire budget will be used. Let x, y, and z denote the number of compact, intermediate-sized, and full-size cars purchased, respectively.)
?= 2,160,000
?= x
?= 100
Click here to see answer by Theo(13342) |
Question 1201030: In a survey of 1000 adults aged 18 and older, the following question was posed:
"Are other travelers' online reviews trustworthy?" The participants were asked
to answer "yes," "no," or "not sure." The survey revealed that 340 answered "no"
or "not sure." It also showed that the number of those who answered "yes"
exceeded the number of those who answered "no" by 400. What percentage of
respondents answered "yes," "no," and "not sure"? (Let x represent the number of
respondents who answered "yes", y represent the number of respondents who
answered "no", and z represent the number of respondents who answered "not
sure".)
? = 1000
? = 340
? = 400
Click here to see answer by Edwin McCravy(20056)  |
Question 1201030: In a survey of 1000 adults aged 18 and older, the following question was posed:
"Are other travelers' online reviews trustworthy?" The participants were asked
to answer "yes," "no," or "not sure." The survey revealed that 340 answered "no"
or "not sure." It also showed that the number of those who answered "yes"
exceeded the number of those who answered "no" by 400. What percentage of
respondents answered "yes," "no," and "not sure"? (Let x represent the number of
respondents who answered "yes", y represent the number of respondents who
answered "no", and z represent the number of respondents who answered "not
sure".)
? = 1000
? = 340
? = 400
Click here to see answer by math_tutor2020(3817) |
Question 1201064: Using a system of equations in two variables, solve the following:
Al and Bev traveled from their apartment to a picnic 20mi away. Al traveled on his bike while Bev, who left later, took her car. Al's average rate was half of Bev's average rate. The trip took Al a half hr longer than Bev. What was Bev's average rate?
Click here to see answer by josgarithmetic(39617) |
Question 1201079: The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 60% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 60% pure fruit juice?
Click here to see answer by mananth(16946)  |
Question 1201079: The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 60% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 60% pure fruit juice?
Click here to see answer by josgarithmetic(39617) |
Question 1201079: The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice, and the second type is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 60% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 60% pure fruit juice?
Click here to see answer by greenestamps(13200)  |
Question 1201132: Formulate a system of equations for the situation below and solve.
A theater has a seating capacity of 750 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $4600. How many children attended the show?
______children
Click here to see answer by math_tutor2020(3817) |
Question 1201132: Formulate a system of equations for the situation below and solve.
A theater has a seating capacity of 750 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $4600. How many children attended the show?
______children
Click here to see answer by josgarithmetic(39617) |
Question 1201132: Formulate a system of equations for the situation below and solve.
A theater has a seating capacity of 750 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $4600. How many children attended the show?
______children
Click here to see answer by ikleyn(52782)  |
Question 1201132: Formulate a system of equations for the situation below and solve.
A theater has a seating capacity of 750 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $4600. How many children attended the show?
______children
Click here to see answer by MathTherapy(10552)  |
Question 1201132: Formulate a system of equations for the situation below and solve.
A theater has a seating capacity of 750 and charges $4 for children, $6 for students, and $8 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $4600. How many children attended the show?
______children
Click here to see answer by greenestamps(13200) |
Question 1201130: The owner of the Rancho Los Feliz has 7000 yd of fencing with which to enclose a rectangular piece of grazing land along the straight portion of a river. Fencing is not required along the river, and the length of the fencing parallel to the river is to exceed the length of the fencing perpendicular to it by 3400 yd. Find the area of the enclosed land (in sq yd).
Click here to see answer by josgarithmetic(39617) |
Question 1201129: Formulate a system of equations for the situation below and solve.
A manufacturer of women's blouses makes three types of blouses: sleeveless, short-sleeve, and long-sleeve. The time (in minutes) required by each department to produce a dozen blouses of each type is shown in the following table.
Sleeveless Short-Sleeve Long Sleeve
Cutting 9 12 15
Sewing 22 24 28
Packaging 6 8 8
The cutting, sewing, and packaging departments have available a maximum of 73.5, 150, and 44 labor-hours, respectively, per day. How many dozens of each type of blouse can be produced each day if the plant is operated at full capacity?
sleeveless: dozen
short-sleeve: dozen
long-sleeve: dozen
Click here to see answer by ikleyn(52782) |
Question 1201131: Formulate a system of equations for the situation below and solve.
A private investment club has $400,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high-risk, medium-risk, and low-risk. Management estimates that high-risk stocks will have a rate of return of 15%/year; medium-risk stocks, 10%/year; and low-risk stocks, 6%/year. The members have decided that the investment in low-risk stocks should be equal to the sum of the investments in the stocks of the other two categories. Determine how much the club should invest in each type of stock if the investment goal is to have a return of $40,000/year on the total investment. (Assume that all the money available for investment is invested.)
high-risk stocks $
medium-risk stocks $
low-risk stocks $
Click here to see answer by mananth(16946) |
Question 1201131: Formulate a system of equations for the situation below and solve.
A private investment club has $400,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high-risk, medium-risk, and low-risk. Management estimates that high-risk stocks will have a rate of return of 15%/year; medium-risk stocks, 10%/year; and low-risk stocks, 6%/year. The members have decided that the investment in low-risk stocks should be equal to the sum of the investments in the stocks of the other two categories. Determine how much the club should invest in each type of stock if the investment goal is to have a return of $40,000/year on the total investment. (Assume that all the money available for investment is invested.)
high-risk stocks $
medium-risk stocks $
low-risk stocks $
Click here to see answer by MathTherapy(10552) |
Question 1201196: you can order 3 shirts for 33 from a certain mail order company, from that same company you can order 5 shirts for $39. You can assume that the price increase is constant depending on the number of shirts ordered.
What is the slope and intercept
Click here to see answer by ikleyn(52782) |
Question 1201032: Formulate but do not solve the problem.
The management of a private investment club has a fund of $300,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high-risk, medium-risk, and low-risk. Management estimates that high-risk stocks will have a rate of return of 16%/year; medium-risk stocks, 10%/year; and low-risk stocks, 6%/year. The investment in low-risk stocks is to be twice the sum of the investments in stocks of the other two categories. If the investment goal is to have an average rate of return of 9%/year on the total investment, determine how much the club should invest in each type of stock. (Assume that all the money available for investment is invested. Let x, y, and z denote the amount, in dollars, invested in high-, medium-, and low-risk stocks, respectively.)
? = 300,000
? = z
? = .09(300,000)
Click here to see answer by Glaviolette(140)  |
Question 1201032: Formulate but do not solve the problem.
The management of a private investment club has a fund of $300,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high-risk, medium-risk, and low-risk. Management estimates that high-risk stocks will have a rate of return of 16%/year; medium-risk stocks, 10%/year; and low-risk stocks, 6%/year. The investment in low-risk stocks is to be twice the sum of the investments in stocks of the other two categories. If the investment goal is to have an average rate of return of 9%/year on the total investment, determine how much the club should invest in each type of stock. (Assume that all the money available for investment is invested. Let x, y, and z denote the amount, in dollars, invested in high-, medium-, and low-risk stocks, respectively.)
? = 300,000
? = z
? = .09(300,000)
Click here to see answer by MathTherapy(10552) |
Question 1201393: In a class of 70 students 6 offer Economics only, 18 offer Geography and economics but not Mathematics, 36 offer Economics and Mathematics, 53 offer Economics, 50 offer Geography and 34 offer Mathematics. All students offer at least one subject.
(a)Determine the number of students who offer Maths only
(b) Determine the number of students who Geography only
Click here to see answer by math_tutor2020(3817) |
Question 1201431: Use the technique developed in this section to solve the minimization problem.
Minimize
C = −3x − 2y − z
subject to
−x + 2y − z ≤ 32
x − 2y + 2z ≤ 40
2x + 4y − 3z ≤ 48
x ≥ 0, y ≥ 0, z ≥ 0
The minimum is C = ? at (x, y, z) =
Click here to see answer by ikleyn(52782) |
Question 1201430: Construct the dual problem associated with the primal problem. Solve the primal problem.
Minimize
C = 12x + 8y + 4z
subject to
3x + 4y + z ≥ 8
x + 2y − 2z ≥ 4
x + y + 2z ≥ 2
x ≥ 0, y ≥ 0, z ≥ 0
The minimum is C = ? at (x, y, z) =
Click here to see answer by ikleyn(52782) |
Question 1201816: Kay has amassed a collection of 1422 coins. they have included only nickels and pennies. the total collection is worth 45.22.
a. Write a system of equations to represent this information, and determine the number of each coin in the collection.
Click here to see answer by mananth(16946) |
Question 1186851: Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an account paying 5%. If he earns $152.75 in interest in one year from both accounts combined, how much did he invest altogether?
Total Principal in Both Accounts = $
Click here to see answer by mananth(16946) |
Question 1186851: Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an account paying 5%. If he earns $152.75 in interest in one year from both accounts combined, how much did he invest altogether?
Total Principal in Both Accounts = $
Click here to see answer by ikleyn(52782) |
Question 1186851: Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an account paying 5%. If he earns $152.75 in interest in one year from both accounts combined, how much did he invest altogether?
Total Principal in Both Accounts = $
Click here to see answer by greenestamps(13200) |
Question 1130657: Use two equations in two variables to solve the application.
The salaries of the President and Vice President of a certain country total $562,600 a year. If the President makes $237,400 more than the Vice President, find each of their salaries.
Click here to see answer by mananth(16946) |
Question 1122496: Points B, O and Y are collinear on BY, and BO:OY =5/8.
B is located at (4,2)
O is located at (57/8, -3), and Y is located at (x,y).
Determine the values of x and y.
Set up the equation below to provide of how you determined the values of x and y
Click here to see answer by mananth(16946) |
Question 1122496: Points B, O and Y are collinear on BY, and BO:OY =5/8.
B is located at (4,2)
O is located at (57/8, -3), and Y is located at (x,y).
Determine the values of x and y.
Set up the equation below to provide of how you determined the values of x and y
Click here to see answer by greenestamps(13200) |
Question 1112673: A worker is employed to work for 30 days at the rate of Rs 120 per day. If he is absent on a particular day he loses Rs 30. The worker earns total of Rs 2700 for that period. For how many days was the worker absent?
Click here to see answer by mananth(16946) |
Question 1112673: A worker is employed to work for 30 days at the rate of Rs 120 per day. If he is absent on a particular day he loses Rs 30. The worker earns total of Rs 2700 for that period. For how many days was the worker absent?
Click here to see answer by ikleyn(52782) |
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