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).
Answer:
Step-by-step explanation:
~Kandy~
Hope this helped!
Brainliest please!
D. Take the log of both sides first. You would then go on to solve by pulling the x down in front of the log 6 to get x log 6 = log 24. Divide both sides by log 6 to get x = log 24/log 6 and x = 1.7737
Answer:
7 7/12 pounds of fruit
Step-by-step explanation:
First, add all of the whole numbers
2 + 1 + 3= 6 (save for later)
then find a common denominator between the fractions which is 12
1/3 = 4/12
5/6 = 10/12
4/12 + 10/12 + 5/12 = 19/12 or 1 7/12
now, add 1 7/12 + 6 to get you 7 7/12
hope this helps
A bc it makes the most sence
