Write a system of three inequalities that describe the constraints in the problem.An office manager is buying used filing cabinets. Small file cabinets cost $4 each and large file cabinets cost $11 each, and the manager cannot spend more than $57 on file cabinets. A small cabinet takes up 6 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 63 square feet of floor space available for file cabinets. The manager must buy at least 6 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought.
A. 4x + 11y ? 57; 9x + 6y ? 63; x ? 6
B. 4x + 11y ? 57; 6x + 9y ? 63; x + y ? 6
C. 4x + 11y ? 57; 6x + 9y ? 63; x + y ? 6
D. 4x + 11y ? 57; 6x + 9y ? 63; y ? 6
Answer: B
You might also like to view...
Find the number of gallons of sulfuric acid in 90 gallons of solution in a tank, if the percent of sulfuric acid is 50%.
A. 45 gal B. 4.5 gal C. 9 gal D. 18 gal E. 90 gal
Let x be a number. Translate the expression into an English phrase.x + 9
A. A number multiplied by 9 B. A number decreased by 9 C. A number divided by 9 D. A number increased by 9
Find the eccentricity of the hyperbola.9x2 - 16y2 = 144
A. 
B. 
C. 
D. 
In a recent election involving three candidates, 20% of the voters preferred candidate A to C and C to B. Forty percent preferred candidate C the most and A the least. The other 900 voters preferred B the most and A the least.How many people voted in this election?
A. 4500 B. 2250 C. 1800 D. 900 E. none of these