Help please!! Solve for x, show all work. Thanks!
1 answer:
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Answer:
15 miles per hour is the speed of the slower train.
Step-by-step explanation:
As given in the figure attached,
Let the speed of train 1 is v and train 2 is u.
Therefore, distance traveled in 2 hours by train 1 will be = 2v miles
and distance traveled by train 2 will be = 2u miles
Now we can see in the figure a right angle triangle is formed by the two trains.
AB² + BC² = AC²
(2v)² + (2u)²= (65.30)²
4v² + 4u² = 4264.09
Now we divide this equation by 4
v² + u² = 1066.02
If speed of the slower train is v miles per hour then as per statement of the question.
u = v - 14
v = u + 14
By putting the value of v in the equation
(u + 14)² + u² = 1066
u² + 196 + 28u + u² = 1066
2u² + 28u + 196 = 1066
2u² + 28u + 196 - 1066 = 0
2u² + 28u - 870 = 0
By diving this equation by 2
u² + 14u - 435 = 0
u² + 29u - 15u - 435 = 0
u(u + 29) - 15(u + 29) = 0
(u + 29)(u - 15) = 0
u = -29, 15
Since speed can not be with negative notation so u = 15 miles per hour will be the speed.
Therefore, 15 miles per hour is the speed of the slower train.
Answer:
2.20752 x
Step-by-step explanation:
The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.
- 365 days refer to the total number of days per year
- 86,400 seconds refer to the number of seconds per day
Let's solve.
- 365 x 86,400 = 31,536,000 or 3.1536 x
<em>Therefore, one year has 3.1536 x </em><em> seconds.</em>
Next, you have to know the number of seconds in 10 billion years.
- (3.1536 x
) x (1.0 x
) = 3.1536 x
The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.
- (3.1536 x
) x 7,000,000 = 2.20752 x