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:
8.6 × 10^5
Step-by-step explanation:
New Jersey 8th graders = 920,000
Rhode island 8th graders = 60,000
Difference in Rhode island 8th graders and New Jersey 8th graders population
= 920,000 - 60,000
= 860,000
Answer in scientific notation
860,000
The decimal point will move 5 places in
= 8.6 × 10^5
Answer:
y= -1= 3(x -3)
Step-by-step explanation:
y -y1= m(x -x1)
y -1= 3(x -3)
Answer:
10:40
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
212 words / 60 seconds in a minute = 3.53 repeating
