Write an algebraic equation for the following problem and then solve it. Pine Grove dormitory just purchased a new clothes dryer on sale for $442. The sale price was 65% of the original price. What was the original price of the clothes dryer?

Let x = original price of the clothes dryer. Write an equation for the statement the sale price was 65% of the original price".

How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution?

Design an er diagram for keeping track of information about votes taken in the u.s. house of representatives during the current two-year congressional session. the database needs to keep track of each u.s. state's name (e.g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i.e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information:

Which elements in the set are integers? –8, 3⁄4, √ 18 , 0, √ 16 , 5, –2⁄7, 6 a. –8, 0, 5, 6 b. –8, 0, √ 16 , 5, 6 c. 3⁄4, √ 18 , √ 16 , 5, –2⁄7 d. –8, 0, √ 18 , 5, 6