In a theater, there are 4 long rows of chairs, each with an equal number of chairs. there are 5 short rows of chairs, each with an equal number of chairs. on a crowded day, the ushers added 2 chairs to each long row and 3 chairs to each short row.
if x represents the number of chairs in each long row and y represents the number of chairs in each short row, the total number of chairs in the theater is given by the expression 4(x + 2) + 5(y + 3). an equivalent expression
a.4x + 5y + 5
b.8x + 15y
c.9x + 23
d.4x + 5y + 23

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

Hardest math question of all time can you solve the equation. check for extraneous solutions.9∣9-8x∣ = 2x+3

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)