*₂. Use the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.) C= 8650x + 255,600, R= 9502x Answer: x= 300 units

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
Problem 29PPS
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$254
6.
Answer:
Invest $3200 at 1.75%, and $8800 at 2.25%
Use the equations for the total cost C and total revenue R to find the number x of
units a company must sell to break even. (Round to the nearest whole unit.)
C= 8650x + 255,600,
R= 9502X
Answer: x= 300 units
Find the equilibrium point of the demand and supply equations.
Supply: p= 90+0.00002x
Demand; p 180-0.00001x
Answer: Equilibrium point: (p, x) ($150, 3,000,000)
4, How much 6% bleach solution must be mixed with an 18% bleach solution to make 50L of a 15%
bleach solution?
Answer: 12,50 L of 6%, and 37.5 L of 18%
5.
A plane can travel 960 mi in 2hr with tailwind( along the wind). The return trip against the wind
takes 2hr and 40 min. Find the speed of the plane in still air, and the speed of the wind.
1.75%
25x-75 y = 100
-x + 3y = -4
Answer: (a,-)
2.25%
Answer: Speed of the plane in still air: 420 mph, and the speed of the wind is 60 mph.
Solve the system by the method of elimination. (If there is no solution, enter NO
SOLUTION. If there are infinitely many solutions, express x and y in terms of the real
number a.)
x-2y+3z=5
-x+3y-5z=4
7. Solve the system of linear equations and check any solutions algebraically. (If there
is no solution, enter NO SOLUTION. If there are infinitely many solutions,
express x, y, and z in terms of the real number a.
-37-0
Transcribed Image Text:$254 6. Answer: Invest $3200 at 1.75%, and $8800 at 2.25% Use the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.) C= 8650x + 255,600, R= 9502X Answer: x= 300 units Find the equilibrium point of the demand and supply equations. Supply: p= 90+0.00002x Demand; p 180-0.00001x Answer: Equilibrium point: (p, x) ($150, 3,000,000) 4, How much 6% bleach solution must be mixed with an 18% bleach solution to make 50L of a 15% bleach solution? Answer: 12,50 L of 6%, and 37.5 L of 18% 5. A plane can travel 960 mi in 2hr with tailwind( along the wind). The return trip against the wind takes 2hr and 40 min. Find the speed of the plane in still air, and the speed of the wind. 1.75% 25x-75 y = 100 -x + 3y = -4 Answer: (a,-) 2.25% Answer: Speed of the plane in still air: 420 mph, and the speed of the wind is 60 mph. Solve the system by the method of elimination. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express x and y in terms of the real number a.) x-2y+3z=5 -x+3y-5z=4 7. Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express x, y, and z in terms of the real number a. -37-0
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