Reduce 27/180 to its lowest terms.

a. 3/20
b. 9/20
c. 3/60
d. 27/180
e. 54/360


a. 3/20

Mathematics

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Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the y-axis.x = , x = 0, between y = - 4 and y = 4

A. ?
B. ?
C. ?
D. ?

Mathematics

Solve the problem.The total individual income tax collected by the tax collecting body of a country is a function of the number of people working, their income, and the tax rates. It has increased each year since 1970. The table below shows the individual income tax collected (in billions) for the time period between 1970 and 1995. Between 1980 and 1990, the average rate of change in the amount of tax collected is $25.7 billion per year. Interpret this average rate of change. 

A. Between 1980 and 1990, the amount of tax collected increased at a rate of $25.7 billion per year. B. Between 1980 and 1990, the amount of tax collected increased by $25.7 billion. C. In each year between 1980 and 1990, the amount of tax collected increased by $25.7 billion. D. Between 1980 and 1990, the amount of tax collected decreased at a rate of $25.7 billion per year.

Mathematics

Solve the problem.A gas company has the following rate schedule for natural gas usage in single-family residences:Monthly service charge$8.80Per therm service charge1st 25 therms$0.6686/thermOver 25 therms$0.85870/thermWhat is the charge for using 25 therms in one month?What is the charge for using 45 therms in one month?Construct a function that gives the monthly charge C for x therms of gas.

What will be an ideal response?

Mathematics

Write the prime factorization of the number.93

A. 3 ? 29 B. 3 ? 31 C. 32 ? 31  D. 32

Mathematics