Let's call the two numbers 
and 
.
Given these variables, we can say: 
, based on the first sentence in the problem.
Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:
To solve, we can simply substitute 
in for in the second equation and solve.
- Get terms on the left side to a common denominator for easier addition
- Cross multiplication (
)
- Subtract
from both sides of the equation
- Factor left side of the equation
Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,
,
Since is not positive in this case, 
is not a solution.
Thus, 
is our only solution. In this case,
,
which means that the smaller number is 14 and the larger number is 28.
Answer:
3.5 hours
Step-by-step explanation:
Speed of train X=30 mph
Speed of train Y=40 mph
Relative speed When the two trains travelling in same direction
Relative speed=40-30=10 mph
Total distance =25+10=35 miles
We have to find the time when train Y is 10 miles ahead of train X.
We know that
Time=
Using the formula
Then, we get
Time=
Hence, it will be 3.5 hours until train Y is 10 miles ahead of train X.
Answer:
The answer is A) a=-4
Step-by-step explanation:
Just divide both sides by 2 because you want to do the opposite operation, to isolate x so if you do you get 80 so x = 80
Answer:
43.98
Step-by-step explanation:
is 7 inches the radius or the diameter?
if 7 inches is the radius then 43.98 is the answer
if 7 inches is the diameter 21.99 is the answer
