Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
Good evening,
96 inch=96*1/12 feet=96/12 feet=8 feet
Hey there! I'm happy to help!
If the model airplanes flies 22 feet in 2 seconds, it travels 11 feet in 1 second.
There are 60 seconds in one minute. We multiply 11 by 60, giving 660 feet in 1 minute.
There are 60 minutes in one hour. We multiply 660 by 60, giving us 39600 feet in 1 hour.
There are 5280 feet in a mile. To find our speed in mph, we divide 39600 by 5280, giving us 7.5 mph.
Have a wonderful day! :D
