Set up a system of equations:
x + y = 9
1/x +1/y = 1/2
The easiest way to solve would be substitution.
x + y = 9 can be solved for y:
y = 9 - x
Then plug this into the second equation and solve for x:
1/x + 1/(9-x) = 1/2
(9-x) + x = x(9-x)/2
9 = (9x-x²)2
18 = 9x - x²
x² - 9x + 18 = 0
(x-6)(x-3) = 0
x = 6, 3
You can check your answer by plugging the two numbers back into both of the equations:
6 + 3 = 9
1/6 + 1/3 = 1/2
The two numbers are 6 and 3.
Answer:
$360 : $600
Step-by-step explanation:
If I'm understanding the problem right, you're looking for this to be put into a 3:5 ratio.
When doing problems like these, I'll add the two numbers in the ratio together, then divide the number (in this case 960) by the sum of the ratios, which in this case is 8.
From there you'd divide 960/8, which is 120. Based on that, you can assume 120 is equal to "1" in the ratio. Then multiply the base unit 1 by each one of the ratios.
120 x 3 = 360
120 x 5 = 600
The ratio will look like this: 360:600
hope this helps u and brainliest is always nice
Answer:
95
Step-by-step explanation:
The smallest number that divided by 6, 15, and 18 leavses 5 in each case is 95