Tree pruning company a charges a one time $100 fee and $50 for each tree that they prune. tree pruning company b charges a one time $80 fee and $60 for each tree that they prune.

let the variable t represent the amount trees pruned and c represent the cost. for how many pruned trees will the cost be the same for both companies?

which system of equations can be used to solve this problem?

a. {c=150t
c=140t

b. {c=100−50t
c=80−60t

c.{c=100+50t
c=80+60t

d. {c=50+100t
c=60+80t

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

This is my question~~ ( r ^ 4 - 2r ^ 3 - 23 r ^ 2 - 4r - 32)÷(r+4) ~~ i must use long division to solve it : / i was wondering if anyone world like to solve it. and if so, share step-by-step explanations! you! ❤

Clarence wants to buy a new car. he finds an ad for a car that costs 27,200 dollars. suppose his local sales tax is 7%. -how much would he have to pay? -what is the cost of the car including tax? -if clarence has 29,864 saved, can he pay cash to buy the car?