Solve the problem using the elimination method.There were 460 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $760. How many adults and how many children attended?

A. 190 adults and 270 children
B. 150 adults and 310 children
C. 310 adults and 150 children
D. 155 adults and 305 children


Answer: B

Mathematics

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Solve the problem.A rock is thrown vertically upward from the surface of an airless planet. It reaches a height of  meters in t seconds. How high does the rock go? How long does it take the rock to reach its highest point?

A. 360 m, 6 sec B. 714 m, 6 sec C. 1,320 m, 12 sec D. 720 m, 12 sec

Mathematics

Find an equation of variation in which the following are true.y varies directly as x and inversely as z, and y = 4 when x = 2 and z = 4.

A. y = 
B. y = 11xz
C. y = 
D. y = 

Mathematics

Use the distributive property to multiply the given expressions.3(5x + 4)

A. 27x B. 15x + 4 C. 8x + 7 D. 15x + 12

Mathematics

State the dual problem. Use y1, y2,  y3 and y4 as the variables. Given: y1 ? 0, y2 ? 0,  y3 ? 0, and y4Minimizew = 6x1 + 3x2subject to:3x1 + 2x2 ? 35 2x1 + 5x2 ? 43 x1 ? 0, x2 ? 0

A.

Maximizez = 35y1 + 43y2
subject to:3y1 + 2y2 ? 6
 2y1 + 5y2? 3
B.
Maximizez = 35y1 + 43y2
subject to:3y1 + 2y2 ? 6
 2y1 + 5y2 ? 3
C.
Maximizez = 43y1 + 35y2
subject to:2y1 + 3y2 ? 6
 5y1 + 2y2 ? 3
D.
Maximizez = 43y1 + 35y2
subject to:2y1 + 3y2 ? 6
 5y1 + 2y2 ? 3

Mathematics