Answer:
time = 1 hour 24 minutes
Step-by-step explanation:
Given that:
Eastbound train travels at a rate of 65 miles per hour
Westbound train travels at a rate of 85 miles per hour
So speed = 65 + 85 = 150 miles per hour
Total distance = 210 miles
We have to find the time
We know that
Distance = time * speed
OR
time = distance / speed
time = 210/150
time = 1.4 hours
Or it can be written as:
time = 1 hour 24 minutes
i hope it will help you!
Answer:
The statements are incorrect as: The sum of even numbers from 1 to 100(i.e. 2550) is not double\twice of the sum of odd numbers from 1 to 100(i.e. 2500).
Step-by-step explanation:
We know that sum of an Arithmetic Progression(A.P.) is given by:
where 'n' denotes the "number" of digits whose sum is to be determined, 'a' denotes the first digit of the series and '' denote last digit of the series.
Now the sum of even numbers i.e. 2+4+6+8+....+100 is given by the use of sum of the arithmetic progression since the series is an A.P. with a common difference of 2.
image with explanation
Hence, sum of even numbers from 1 to 100 is 2550.
Also the series of odd numbers is an A.P. with a common difference of 2.
sum of odd numbers from 1 to 100 is given by: 1+3+5+....+99
.
Hence, the sum of all the odd numbers from 1 to 100 is 2500.
Clearly the sum of even numbers from 1 to 100(i.e. 2550) is not double of the sum of odd numbers from 1 to 100(i.e. 2500).
Hence the statement is incorrect.
Step-by-step explanation:
Answer: 3x-y=10 , 6x-2y=5. 3x−y=10 3 x - y = 10 , 6x−2y=5 6 x - 2 y = 5. Solve for y y in the first equation. Tap for more steps... Subtract 3x 3 x from
Graph y=6x-10 |
Answer: Choice C)
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mean = xbar = (2400+1750+1900+2500+2250+2100)/6
mean = 2150
Subtract the data values from the mean to get
2400-2150 = 250
1750-2150 = -400
1900-2150 = -250
2500-2150 = 350
2250-2150 = 100
2100-2150 = -50
The differences are: 250, -400, -250, 350, 100, -50
Then you square those values and add up the squares
(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000
In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q