There are 21 bags with 2 marbles in each bag, Ben calculates the number of marbles there are in all by counting by twos 21 times: 2.4, 6, 8, 10, ..., 40.42 Kaia calculates 21 + 21 = 42 instead. Discuss the two calculation methods. Are both legitimate? How could you relate the two methods? Is this related to a property of multiplication? Explain.

If f(x)=3x+1 and f^-1=x-1/3, then f^-1(7)=

Me complete this proof! prove that a quadrilateral is a square. me with the steps for this proof.

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: