Answer:
Yeah its 7 because when you add 3+2=5, and x is 2, its 7
So first we want to find how far away they were after one hour.
Assuming they were going at a steady rate:
Since:
320 miles = distance traveled in 2 hours
We can divide both sides by 2 to get:
160 miles = distance traveled in 1 hour.
So we now know that the trains were 160 miles apart after 1 hour.
So we can assign the eastbound train a variable for its speed right now, or just x. And then the westbound train would be x + 18.
So, since the rate is in miles per hour, and they traveled 160 miles in one hour, we can say:
x + x + 18 = 160 miles
Then just solve.
2x + 18 = 160
-18 -18
2x = 142
/2 /2
x = 71
Since x equals the rate of the eastbound train, and we're looking for the westbound train, just add 18 to 71 because the westbound train was going 18 mph faster than the eastbound train.
18 + 71 = 89
So the rate of the westbound train is 89 mph.
Answer:
It is (almost certainly) the first choice, however, you omitted the actual example there. See below.
Step-by-step explanation:
A counter-example to "All rational numbers are integers" is easy to find - it is any fraction that is reduced to simplest form and its denominator (bottom part) is not 1. Examples: 2/3, 7/5, 11/13 are all not integers but rational numbers and therefore are counter-examples to the statement. The statement is thus disproven. Please check your question - there is a value with the first choice that is likely one such fraction.
The remaining 3 choices to your answer are all not applicable.
Answer:
The answer is 1: 50000... If you look down here↓:
Step-by-step explanation:
With a scale of 1:20000, a unit length on the map represents a length of 20000. So 1 cm^2 = 1 cm* 1 cm which represents 20000*20000 cm^2 will be = 4*10^8 cm^2.
50 cm^2 represents that 4*50*10^8 cm^2 = 200* 10^8 cm^2.
Now, on the other hand, the map has the same. 200* 10^8 is represented by 8 cm^2. So the scale is sqrt [ 200* 10^8 / 8 ] = sqrt [ 25* 10^8 ] = 5* 10^4 = 50000.
Therefore the scale on the second map is 1: 50000.
By representing the power because exponents work with powers.