Lucy bought a doormat for $7 and some placemats for $2 each. Her total average cost per item was $3. Create a rational equation, and determine how many placemats she bought.

She bought __placemats.

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality

According to the general equation for conditional probability, if p(ab) = 4/5 and p(b)= 5/6, what is p(a|b)? a. 8/9 b. 35/36 c. 24/25 d. 15/16