X= number of hours in run
y = number of hours in bike race
9x+29y=85
x+y=5, and y=5-x
Substituting 5-x for y in the first equation, we have 9x+ 29(5-x)=85 and 9x+145-29x=85, then subtracting 145 from both sides to get -20x=-60 and x=3, which is the amount of hours in the running race. Multiply that by 9 miles per hour to get 27 miles
Most of the information's necessary for solving this problem is already given in the question.
Let us assume the number to be = x
Then
25% * x = 19
(25/100) * x = 19
x/4 = 19
x = 19 * 4
= 76
So the unknown number is 76. I hope there is no complexity in the method described above and also the procedure is clear enough for you to understand. You can use this method for solving similar type of problems in future without requiring any additional help from outside.
The value of the slope increases and becomes closer to infinity
The formula for this is
. Filling in accordingly,
. This simplifies to
and 36=6x. Therefore, x = 6 so the bases are 6 and 12.