Provide an appropriate response.An open box is formed by cutting a square piece out of each corner of a 12-inch by 10-inch piece of metal. If each side of the squares cut out is x inches long, the volume of the box is given by  This problem only makes sense when this volume is positive. Find the values of x for which the volume is positive.

Fill in the blank(s) with the appropriate word(s).


0 < x < 5

Mathematics

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Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent of dependent. 3x - 2y = 4-6x + 4y = 7

A. Infinitely many solutions, dependent

B. (1, 2)

C. No solution, inconsistent

D. (2, 1)

Mathematics

Solve. ? 7

A. , or 
B.  ? , or 
C. , or 
D.  ? , or 

Mathematics

Solve the problem.The receipts, r, at a concert are directly proportional to the number of people attending the concert, c. If the receipts for a concert are $15,000 when 900 people attend, determine how many people attend if the receipts for a concert are $60,000.

A. 360 people B. 36 people C. 36,000 people D. 3600 people

Mathematics

Solve the equation. = 2.18

A. {918} B. {0, 918} C. {-482, 918} D. {482, 918}

Mathematics