Write an algebraic equation and use it to solve the problem.The three most prominent buildings in a city, Washington Center, Lincoln Galleria, and Jefferson Square Tower, have a total height of 1800 feet. Find the height of each building if Jefferson Square Tower is three times as tall as Lincoln Galleria and Washington Center is 400 feet taller than Lincoln Galleria.

A. Washington Center: 680 feet
Lincoln Galleria: 280 feet
Jefferson Square Tower: 840 feet
B. Washington Center: 120 feet
Lincoln Galleria: 40 feet
Jefferson Square Tower: 1640 feet
C. Washington Center: 600 feet
Lincoln Galleria: 200 feet
Jefferson Square Tower: 1000 feet
D. Washington Center: 440 feet
Lincoln Galleria: 40 feet
Jefferson Square Tower: 1320 feet


Answer: A

Mathematics

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Find the maximum or minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of feasible points.  Objective Function: z = x + 8yFind maximum.

A. maximum: 20 B. maximum: 34 C. maximum: 42 D. maximum: 27

Mathematics

Find the quotient and the remainder.12x2 + 18x - 13 divided by 6x

A. 2x2 + 3x - ; remainder 0
B. 12x + 18; remainder -13
C. 2x - 10; remainder 0
D. 2x + 3; remainder -13

Mathematics

Solve the problem.The function H described by H(x) = 2.75x + 71.48 can be used to estimate the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a woman whose humerus is  long.

A. 24.5775 cm B. 167.5375 cm C. 39.3 cm D. 109.16 cm

Mathematics