Solve.Benjamin never has more than 21 hours free during the week. He is trying to make a weekly plan for dividing his free time between reading and working out. He wants to spend at least 5 hours per week reading. Write a system of inequalities to describe the situation. Let x represent the number of hours for reading and y represent the number of hours for working out.

A. x + y ? 21, x ? 5y, x ? 0, y ? 0
B. x + y ? 21, x ? 5, y ? 0
C. x + y ? 21, x ? 5y, x ? 0, y ? 0
D. x + y ? 21, y ? 5, x ? 0


Answer: B

Mathematics

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Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.2(x - 5) + (2x) = 4(x - 7) - 2

A. Conditional; {0} B. Identity; {all real numbers} C. Conditional; {-3} D. Contradiction; ?

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Find the circumference of the circle. Use 3.14 for ?.

A. 1017.36 mi B. 56.52 mi C. 113.04 mi D. 226.08 mi

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Solve the problem. Snell's Law states that  Use this law to find the requested value. If       find  Round your answer to the nearest degree.

A. ?2 = 33° B. ?2 = 31° C. ?2 = 34° D. ?2 = 30°

Mathematics

Total personal income in the U.S. (in billions of dollars) for selected years from 1960 to 2002 is given in the following table.

?
Year
1960
1970
1980
1990
2000
2002
Personal income
 
286.40
 
379.26
 
522.29
 
670.80
 
810.28
 
853.53
?
?
These data can be modeled by , wherexis the number of years past 1960. If this model is accurate, find the rate of change of the total U.S. personal income in 2001. Round your answer to the nearest ten million dollar.
?

A. $25.92 billion per year
B. $22.76 billion per year
C. $13.75 billion per year
D. $84.31 billion per year
E. $21.61 billion per year

Mathematics