Let be:Speed of the wind: WSpeed of the plane in still air: P
Against the wind the plane flew:Distance: d=175 milesTime: ta=1 hour 10 minutesta=1 hour (10 minutes)*(1 hour/60 minutes)ta=1 hour + 1/6 hourta=(6+1)/6 hourta=7/6 hourSpeed against the wind: Sa=d/taSa=(175 miles) / (7/6 hour)Sa=175*(6/7) miles/hourSa=1,050/7 miles per hourSa=150 mph
(1) P-W=Sa(1) P-W=150
The return trip only took 50 minutesDistance: d=175 milesTime: tr=50 minutestr=(50 minutes)*(1 hour/60 minutes)tr=5/6 hour
Speed retur trip: Sr=d/trSr=(175 miles) / (5/6 hour)Sr=175*(6/5) miles/hourSr=1,050/5 miles per hourSr=210 mph
(2) P+W=Sr(2) P+W=210
We have a system of 2 equations and 2 unknows:(1) P-W=150(2) P+W=210
Adding the equations:P-W+P+W=150+2102P=360Solving for P:2P/2=360/2P=180
Replacing P by 180 in equation (2):(2) P+W=210180+W=210
Solving for W:180+W-180=210-180W=30
Answers:The speed of the plane in still air was 180 mphThe speed of the wind was 30 mph
Answer: 22, 38
3, 7
8, 12
<u>Step-by-step explanation:</u>
It is given that the PERIMETER is BETWEEN 22 and 38
--> 22 < P < 38
Perimeter = 2w + 2L
It is given that L = w + 5
Substitute P with 2w + 2L and substitute L with w + 5
22 < 2w + 2(w + 5) < 38
22 < 2w + 2w + 10 < 38
12 < 4w < 28
--> 3 < w < 7
Since L = w + 5, then w = L - 5
Substitute P with 2w + 2L and substitute w with L - 5
22 < 2(L - 5) + 2L < 38
22 < 2L + 2L - 10 < 38
32 < 4L < 48
--> 8 < L < 12
Answer:
It would be 14.1
Step-by-step explanation:
6% of 14 is 0.9, so subtracting that from 15 would leave you with 14.1
The fraction is 2/6, because he has six ties which gives you the denominator of six and 2 are red. to simplify 1/3
Yes because they both have the same degrees, but one is slightly rotated
