Solve the problem.The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 3 cm on a side is 54 g, find the weight of the liquid in a cubical container 4 cm on a side.
A. 128 g
B. 8 g
C. 52 g
D. 64 g
Answer: A
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Find the standard-form equation for a hyperbola which satisfies the given conditions.A hyperbola centered at the origin having focus at (12, 0) and eccentricity equal to 
A. 
+ 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
+ 
= 1
Write the phrase as a mathematical expression. Use x to represent the number. Combine like terms if possible.8 times a number added to -6, added to 7 times the sum of 5 times the number 
A. 7(5x + 6) + [8x + (-6)]; 43x + 36 B. 8(-6 + x) + 7(5 + 6x); 14x - 13 C. 8x - 6 + 7(5 + 6x); 50x + 43 D. 8(-6 + x) + 7(5x + 6); 43x - 42
Solve.
= 6
A. 35 B. 49 C. 37 D. 36
Solve the problem.Two airplanes leave the same airport at the same time. The airplane flying east travels at an average speed that is 40 mph faster than the airplane flying north. If the two airplanes are 750 mi apart after 1 hr, find the average speed of each airplane to the nearest mile per hour.
A. North: 550 mph East: 590 mph B. North: 510 mph East: 470 mph C. North: 550 mph East: 510 mph D. North: 510 mph East: 550 mph