A company makes two kinds of bats, Type I and Type II (deluxe). Type I needs 4 min of sanding and 6 min of polishing. Type II needs 4 min of sanding and 9 min of polishing. The sander can run no more than 64 minutes per week and the polisher can run no more than 126 minutes a week. A $3 profit is made on Type I and $12 profit on Type II. How many of each type should be made to maximize profits?

Find the sum of the first 8 terms of the following sequence. round to the nearest hundredth if necessary.

26) -2(7x) = (-2 • 7) x a. associative property of addition b. associative property of multiplication c. commutative property of multiplication d. commutative property of addition

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