Complete question :
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had not met yet and were 170 mi apart. Find the speed of the trains.
Answer:
Train A = 80 miles per hour
Train B = 90 miles per hour
Step-by-step explanation:
Given that :
Distance between A and B = 1020
Let the speed of A = x
Speed of B = x + 10
Since they both left simultaneously;
Distance traveled after 5 hours will be :
Distance = speed * time
A = x * 5 = 5x
B = (x + 10) * 5 = 5x + 50
After the distance traveled by each of A and B, they are still 170 miles apart
Hence, distance covered after 5 hours ;
Total miles - miles left
1020 - 170 = 850 miles
Hence,
5x + 5x + 50 = 850
10x = 850 - 50
10x = 800
x = 80
Train A = 80 miles per hour
Train B = 80 + 10 = 90 miles per hour
Answer:
11) 
12)
13a)
and 
13b)
Step-by-step explanation:
11. The given equation in rectangular coordinates is 
To convert to polar form, use the relation 
This implies that:



In polar coordinates,
is a circle with radius 4 units.
12. From the diagram;




We can see that two arrows are moving in anticlockwise direction to meet A which is moving in the clockwise direction;

13. The conjugate of the complex number:
is 
Part a) The given complex numbers are:
and 
The conjugates of these complex numbers are:
and 
Part b) The product of
and
is
The conjugate of the product is:
<span> a(b – c) if a = -8, b = 12, and c = 4
</span><span> = -8(12 – 4)
= -8 (8)
= -64</span>
Total population of US is 234.88 million.
Step-by-step explanation:
Given,
Number of people are 65 or older = 30.3 million
This represents 12.9% of total population.
Let,
x represent the total population.
12.9% of x = 30.3 million

Dividing both sides by 0.129x

Total population of US is 234.88 million.
Keywords: percentage, division
Learn more about percentage at:
#LearnwithBrainly
Answer:
37/45
Step-by-step explanation:
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