Answer: 34/9
Step-by-step explanation:
5 2/3 / 3/2
= 17/3 / 3/2
=17/3 x 2/3 [reciprocal]
=34/9
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The first integer (x) is equal to the consecutive even integers, x+2, x+4.
x = (x+2) + (x+4)
x = 2x + 6
x - 6 = 2x
x = -6 (First integer)
+2
-4 (Second integer)
+4
-2 (Third integer)
Integers: -6, -4, -2
Equation: x = (x+2) + (x+4)
Answer:
A/15=5
so multiply 15*5
you would get 75
therefore a=75
Step-by-step explanation:
Multiply the original DE by xy:
xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)
Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes
x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0
This final equation is easily recognized as separable:
dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides
We can assume that B leaves Los Angeles not at noon but at 2pm Eastern Time, so 5 hours later than A leaves New York.
In 5 hours A covers 5*40=200 miles. So, A and B together should cover 3,000-200=2,800 miles.
Combined rate = 40 + 60 = 100 miles per hour.
To cover 2,800 miles they'll need 2,800/100=28 hours.
2pm Eastern Time on Monday + 28 hours = 6pm Eastern Time on Tuesday.
Answer: 6:00pm on Tuesday
