Kathy had a dream in which she was selling roses in an international market. She started out with 136 roses. Then her first customer, an Egyptian, bought
of them. Soon afterward, a Babylonian asked to buy
roses; later XIV roses were bought by (you guessed it) a Roman. How many roses did she have left to sell at the end of her dream?
?
A. 86 roses
B. 35 roses
C. 73 roses
D. 71 roses
E. 57 roses
Answer: D
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Solve the system of equations by graphing. If the system is inconsistent or the equations are dependent, say so.x = -yy + x = 6
A. {(1, 5)} B. {(1, 1)} C. {(x, y)|x = -y} (dependent equations) D. ? (inconsistent system)
Write an equivalent expression in exponential form.ln e5 = 5
A. e5 = e5 B. ln 5 = 5 C. e5 = 5 D. ln e5 = e5
The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution.
A. x1 = -7 - 4x2 - 5x4 x2 is free x3 = -4 - 4x4 x4 is free B. x1 = -7 - 4x2 - 5x3 x2 = -4 - 4x3 x3 is free C. x1 = - 4x2 +2x3 + 3 x4 + 1 x2 is free x3 = -4 - 4x4 x4 is free D. x1 = -7 - 4x2 - 5x4 x2 is free x3 = -4 - 4x4 x4 = 0
Add or subtract, as indicated. Assume that all variables represent positive real numbers. - 6
- 2
A. -67
B. -8
C. -67
D. -8