Solve the problem.Junior high classes of 35 students each met in the cafeteria to take achievement tests. If exactly 5 students sat at each table and 21 tables were used, how many classes took the tests?
A. 6 classes
B. 16 classes
C. 5 classes
D. 3 classes
Answer: D
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Find the cross product and determine whether the proportion is true or false. =
A. 144 = 144; true B. 18 ? 288; false C. 72 = 72; true D. 36 ? 144; false
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Function z = 6x + 7yConstraints x ? 0 y ? 0 2x + 3y ? 12 2x + y ? 8
A. maximum 32; at (2, 3) B. maximum 24; at (4, 0) C. maximum 32; at (3, 2) D. maximum 52; at (4, 4)
Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give exact answers with rational denominators.Find tan B when a = 4 and b = 7.
A.
B.
C.
D.
Find the logarithm. Give an approximation to four decimal places.log 0.0743
A. -1.1232 B. -2.5996 C. -1.1349 D. -1.1290