Write the word statement as an equation. Use x to represent the unknown number. Do not solve.The difference between the sum of 4 times a number and 9 and 3 times the number results in the number increased by 13.
A. (4x + 9) + 3x = x - 13
B. 4x - (9 - 3x) = x + 13
C. (4x + 9) - 3x = x + 13
D. 4(x - 9) - 3x = x - 13
Answer: C
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Multiply. Express the product in lowest terms.
? 
A. 
B. 14z
C. 
D. 
Solve the problem.A company manufactures two products. For $1.00 worth of product A, the company spends $0.50 on materials, $0.20 on labor, and $0.15 on overhead. For $1.00 worth of product B, the company spends $0.45 on materials, $0.20 on labor, and $0.15 on overhead. Let a = 
and b = 
.Then a and b represent the "costs per dollar of income" for the two products.Suppose the company manufactures x1 dollars worth of product A and x2 dollars worth of product B and that its total costs for materials are $140, its total costs for labor are $60, and its total costs for
overhead are $45. Determine x1 and x2, the dollars worth of each product produced. Include a vector equation as part of your solution. What will be an ideal response?
Solve the equation.|x - 6| = 4
A. {-2, 10} B. no solution C. {2, 10} D. {-10}
Write a system of inequalities that describes the possible solutions to the problem.The Pen-Ink Company manufactures two ballpoint pens: silver and gold. The silver requires 8 minutes in a grinder and 9 minutes in a bonder. The gold requires 14 minutes in a grinder and 9 minutes in a bonder. The grinder can be run no more than 550 minutes per day and the bonder no more than 260 minutes per day. Let x represent the number of silver pens, and let y represent the number of gold pens. Including the system inequalities 
and 
, find the remaining inequalities that best
represent this company's daily production of silver and gold pens. A. 0 ? 17x + 23y ? 810 B. x + y ? 550, x + y ? 260, x + y ? 810 C. 8x + 14y ? 550, 9x + 9y ? 260 D. 8x + 9y ? 550, 14x + 9y ? 260