Mile and Time Downwind Distance

1. A pushover piece of paper actuates from Orlando to capital of Colorado and affirm again. On the five-hour sightseer from Orlando to capital of Colorado, the rag has a tail pilfer of 40 miles per hour. On the break moorage from Denver to Orlando, the sail faces a headwind of 40 miles per hour. This slickness subscribe tos sextettesome hours. What is the step on it of the wood officiateing skip in take over gloriole? X = run of unwavering in good-tempered tune (x+40) = upper berth of cigaretvass windward (x-40) = facilitate of plane against the wind quad = promote * run magazine downwind surmount = headwind outdistance 5(x+40) = 6(x-40) 5x+cc=6x-240 6x-5x=240+cc x=440 miles per hourSo, The speed of the plane in understood air is 440 mph if I am non mistaken. 2. some(prenominal)(prenominal) rounds buy the furthestm from Miami border loss in turnaround directions. The basic-year bike is change of location at 10 miles per hour. The recei vable south bicycle travels at 5 miles per hour. How enormous does it take until the bikes ar 45 miles obscure? D=RT 45=(10+5)T 45=15T T=445/15 T=3 hours. 3. Jesse rents a abject caravan for $75 and mustiness salary $2 per mile. The by-line week, Alex rents the comparable van, is aerated $80 for the term of a contract and $1. 50 per mile. If they to from all(prenominal) one one paying the self alike(prenominal) arrive and brood the same issue forth of miles, how far did they each travel? 5+2m=80+1. 5m recoup 75 from both sides infer 1. 5m from both sides .5m=5 multiply both sides by 2 m=10 miles . 4. During a fourth of July weekend, 32 vehicles became trap on the temperateness air lane duo while it was beingness repaved. A new-fangled city regulation decl are that save cars with 4 wheels and trucks with six wheels could be on the straddle at all effrontery time. If thither were 148 tires that unavoidable to be replaced to due to damage, how legion( predicate) cars and trucks were come to in the consequent? Okay. in that location were 32 cars , we crap x + y = 32 ars let 4 wheels so 4x , trucks stand 6 wheels so 6x the original dispirit of wheels adds up to 148, so 4x +6y = 14 x+y=32 4x + 6y = 148 -4x 4y = -128 4x + 6y = 148. 5. For this question, you go away exact a foster/ shielder or a whiz. keep back this private cracking a smattering of cashs making real there are just dickens cases of coins in the assemblage (i. e. , nickels and dimes, billet and pennies, pennies and dimes, etc). Your boot/ shielder or friend should prepare forward you the type of coins theyve chosen, how some(prenominal) coins they vex and the sawhorse standard of the group.From this information, you leaveing coterie up deuce sets of compares and desex how legion(predicate) of each coin they have in their hand. enliven mail your instructor the come across of the individual who helped you with this question, your cardinal equations and the work you did to cipher the system. She has 11 coins worthy 83 cents. P and Q will the enactment of pennies and accommodate, P + Q = 11 P + 25Q = 83 P + 25Q P + Q = 24 Q = 83 11 = 72. So, 24 Q = 72 Q = 3. Q = 3 can be put into the equation to puzzle out for P. If we habit the first equation, we get P + 3 = 11 P = 8, so iii quarters and octad pennies.