Tutors Answer Your Questions about Linear-systems (FREE)
Question 1154289: The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $100.25 for each ton of sugar. The second company charges $3995 to rent trucks plus an additional fee of $175.50 for each ton of sugar.
Click here to see answer by ikleyn(52782)   |
Question 1154738: An airplane flying with the wind can cover 680 miles in 2 hours. The return trip against the wind takes 2 1/2 hours.
What is the speed of the plane?
The speed of the plane is_____miles per hour.
What is the speed of the air?
The wind's speed is_____miles per hour.
Click here to see answer by MathLover1(20850)  |
Question 1154738: An airplane flying with the wind can cover 680 miles in 2 hours. The return trip against the wind takes 2 1/2 hours.
What is the speed of the plane?
The speed of the plane is_____miles per hour.
What is the speed of the air?
The wind's speed is_____miles per hour.
Click here to see answer by MathTherapy(10552)  |
Question 1154738: An airplane flying with the wind can cover 680 miles in 2 hours. The return trip against the wind takes 2 1/2 hours.
What is the speed of the plane?
The speed of the plane is_____miles per hour.
What is the speed of the air?
The wind's speed is_____miles per hour.
Click here to see answer by josgarithmetic(39617) |
Question 1154913: Five hundred people attend a basketball game, and total ticket sales are $4000. Three times more students than alumni attend. If adult tickets are $10 and both student and alumnus tickets are $5, how many adults, students, and alumni attend the game?
Click here to see answer by Alan3354(69443)  |
Question 1155124: For a ground temperature of 15°C, the air temperature (t) at an altitude of 500 m (h) is 10°C. At 2000 m, the air temperature is -5°C. Use the ordered pairs (h,t).
a. Find a linear equation for these data points.
b. Use this linear equation to find the air temperature at 1500 m.
Click here to see answer by Alan3354(69443) |
Question 1155559: Solving:
5 x-3y = 18
-3 x-3y = -12
Using Substitution Method.
Expressing x as a function of y (from the first equation) x = (18 +3y)/5
Substituting this expression into the second equation:
-3 (18 -3y)/5-3y = -12
Why is this not -3(18+3y)/5-3y = -12 ?
Click here to see answer by Alan3354(69443) |
Question 1155559: Solving:
5 x-3y = 18
-3 x-3y = -12
Using Substitution Method.
Expressing x as a function of y (from the first equation) x = (18 +3y)/5
Substituting this expression into the second equation:
-3 (18 -3y)/5-3y = -12
Why is this not -3(18+3y)/5-3y = -12 ?
Click here to see answer by ikleyn(52782) |
Question 1155559: Solving:
5 x-3y = 18
-3 x-3y = -12
Using Substitution Method.
Expressing x as a function of y (from the first equation) x = (18 +3y)/5
Substituting this expression into the second equation:
-3 (18 -3y)/5-3y = -12
Why is this not -3(18+3y)/5-3y = -12 ?
Click here to see answer by MathTherapy(10552) |
Question 1155555: 6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y
Complete the missing value in the solution to the equation
Click here to see answer by Alan3354(69443) |
Question 1155592: 8) A small company makes masks and gloves. Resources required are cloth and labour. The company has 350 square cm of cloth and 50 hours of labour available. Each mask requires 20 square cm of cloth and 2 hours of labour, whereas each glove requires 60 square cm of cloth and 4 hours of labour. The profit for a mask is $5, and the profit for a glove is $10. The company wants to determine the number of masks and gloves to make so that profit will be maximized. Formulate a linear programming model for this problem.
Click here to see answer by ikleyn(52782) |
Question 1155593: 9) A diet specialist tells patient to add oranges and apples to her diet for Vitamin A, Vitamin B, and Vitamin C. A kg (kilogram) of oranges contributes 8 grams of Vitamin C, 6 grams of Vitamin B, and 2 grams of Vitamin A, while a kg of apples contributes 3 grams of Vitamin A and 6 grams of Vitamin B. A kg of oranges costs $1.95 and a kg of apples costs $2.99. The patient has to meet a minimum requirement of 22 grams of Vitamin A, 33 grams of Vitamin B, and 16 grams of Vitamin C. She should avoid taking more than 73 grams of Vitamin A and 64 grams of Vitamin B to avoid side effects such as nausea. Formulate a linear programming problem to help the patient choose the ideal fruit mix for their diet.
Click here to see answer by ikleyn(52782) |
Question 1155591: A toymaker makes soldiers and guns from wood and plastic. The store has 60 units of wood and 44 units of plastic. Each soldier requires 10 units of wood and 4 units of plastic, whereas each gun requires 6 units of plastic and 4 units of wood. The store has to use a minimum of 22 units of plastic. The demand for soldiers is no more than 2. Each soldier is sold along with at least two guns. A soldier and a gun earn $30 and $20 in profit, respectively. Formulate a linear programming model for this problem with an appropriate objective function.
Click here to see answer by greenestamps(13200)  |
Question 1156022: A penny is dropped off the Empire State Building which is 1250 feet tall. If the penny's pathway can be modeled by the equation h=-16t^2+1250, how long would it take the penny to strike a 6 foot tall person?
Click here to see answer by BlGDAVE(19)  |
Question 1156022: A penny is dropped off the Empire State Building which is 1250 feet tall. If the penny's pathway can be modeled by the equation h=-16t^2+1250, how long would it take the penny to strike a 6 foot tall person?
Click here to see answer by ikleyn(52782) |
Question 1156054: 1. Write an equation of the line containing (5,2) and (7,-4). Express the answer in standard form with integer coefficients.
2. Write an equation of the line containing (4,-1) and (-2,-6). Express the answer in standard form with integer coefficients.
Click here to see answer by Boreal(15235)  |
Question 1156056: 1. Write an equation of the line containing (5,2) and (7,-4). Express the answer in standard form with integer coefficients.
2. Write an equation of the line containing (4,-1) and (-2,-6). Express the answer in standard form with integer coefficients.
3.write an equation of the vertical line passing through (2,7) and graph the line.
4. Graph 3x+6y> 18
4. Graph 5x-4y>8
Click here to see answer by Boreal(15235) |
Question 1157244: Problem: Alicia is fundraising for her soccer team by selling popcorn and cookies. She manages to sell 12 tins of popcorn and 21 tubs of cookies for a total of $320.55 on her first day of sales. The second day she ends up selling more. She sells 15 tins of popcorn and 32 tubs of cookies for a total of $447.55. What was the individual cost of each tin of popcorn and tub of cookies?
1)List the variables you will use and what they stand for. Then use those variables to create two equations which represent the problem above.
2)Solve the system of equations you created in #1 using either the elimination or substitution method. Your answers should be expressed in decimal format with correct units.
Hint: You should end up with both values of your variables.
3)Check your answers by plugging the answers for BOTH variables back into BOTH equations.
Click here to see answer by mananth(16946)  |
Question 1157244: Problem: Alicia is fundraising for her soccer team by selling popcorn and cookies. She manages to sell 12 tins of popcorn and 21 tubs of cookies for a total of $320.55 on her first day of sales. The second day she ends up selling more. She sells 15 tins of popcorn and 32 tubs of cookies for a total of $447.55. What was the individual cost of each tin of popcorn and tub of cookies?
1)List the variables you will use and what they stand for. Then use those variables to create two equations which represent the problem above.
2)Solve the system of equations you created in #1 using either the elimination or substitution method. Your answers should be expressed in decimal format with correct units.
Hint: You should end up with both values of your variables.
3)Check your answers by plugging the answers for BOTH variables back into BOTH equations.
Click here to see answer by josgarithmetic(39617) |
Question 1157597: Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 12% African Americans. Town B had a population with 8% African Americans. After the merge, the new city has a total of 4000 residents, with 9.4% African Americans. How many residents did Town A and Town B used to have?
Click here to see answer by ikleyn(52782) |
Question 1157597: Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 12% African Americans. Town B had a population with 8% African Americans. After the merge, the new city has a total of 4000 residents, with 9.4% African Americans. How many residents did Town A and Town B used to have?
Click here to see answer by greenestamps(13200) |
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