Solve.A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 3 hot dogs, 4 bags of potato chips, and 5 soft drinks for $12.50. The price of a hot dog is $0.75 more than the price of a bag of potato chips. The cost of a soft drink is $2.00 less than the price of two hot dogs. Find the cost of each item.
A. $1.50 for a hot dog; $1.00 for a bag of potato chips; $0.75 for a soft drink
B. $1.75 for a hot dog; $1.00 for a bag of potato chips; $1.00 for a soft drink
C. $1.50 for a hot dog; $0.75 for a bag of potato chips; $1.00 for a soft drink
D. $0.75 for a hot dog; $1.50 for a bag of potato chips; $1.00 for a soft drink
Answer: C
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Given that p and q each represents a simple statement, write the indicated compound statement in its symbolic form.p: The outside humidity is low.q: The central humidifier is running.r: The air in the house is getting dry.The air in the house is getting dry, if and only if the outside humidity is low and the central humidifier is not running.
A. (p ? q) ? r B. r ? (p ? ~ q) C. r ? (p ? q) D. (r ? p) ? ~ q
Find the vertices and foci of the ellipse. Graph the ellipse.
+ 
= 1
A. 
Foci at (-
, 0) and (
, 0)
Vertices at (0, -6), (0, 6)
B. 
Foci at (0, - 
) and (0, 
)
Vertices at (0, -6), (0, 6)
C. 
Foci at (- 
, 0) and (
, 0)
Vertices at (-6, 0), (6, 0)
D. 
Foci at (0, -6) and (0, 6)
Vertices at (0, -36), (0, 36)
Solve the equation algebraically. Verify your solution with a graphing utility.7(x + 6) = (7x + 42)
A. {84} B. {0} C. all real numbers D. no solution
Convert to a logarithmic equation.52 = 25
A. 2 = log 5 25 B. 2 = log25 5 C. 25 = log5 2 D. 5 = log2 25