Using prime factorization investigation

express each of these sums in the form a(b + c) where b and c do not have a common factor. show all work.

1. 6 + 21

2. 27 + 45

3. 32 + 48

4. 88 + 24

5. 30 + 75

Tabby sells clothing at a retail store, and she earns a commission of 6.25% on all items she sells. last week she sold a pair of jeans for $32.50, a skirt for $18.95, and 2 blouses for $14.95 each. what was tabby's total commission? a $4.15 b $5.08 c $81.35 d $348.60

Mrs. avila is buying a wallpaper border to go on all of her kitchen walls. she wants to buy 5 extra feet of wallpaper border than she needs to be sure she has enough. she buys 55.5 feet of the border. the store owner selling the border uses the width of mrs. avila's kitchen to determine that the length of her kitchen must be 14.5 feet.

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle