add the numbers on both side by 3
4 + 3 = 7
8 + 3 = 11
rewrite the expression
7<11
that is still true
do the same by multiplying it by 2 and rewrite the inequality
Answer:
3
Step-by-step explanation:
17 * 3 = 51
51 * 3 = 153
153 * 3 = 459
etc.
45 :)))))))))))))))))))))))))))))))
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
Rewrite 15 1/4% as 15.25%. To obtain the desired fraction, divide this 15.25% by 100%:
0.1525
This could be reduced to 61/400, which was obtained by first writing 0.1525 as 1525/10000.
