Was the variable "y" supposed to be part of this equation? If so, perhaps you meant to share the following:
<span> 0.24x − 1.85y = 3.09
− 2.33x = 1.71y
Plese, go back and reread the original question, and then ensure you have shared that question here precisely as it was presented.</span>
Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
Answer:
54 keys
Step-by-step explanation:
If there are 6 keys on each of the nine key rings, you times 6 by 9 to get 54.
Answer:
C
Step-by-step explanation:
Answer:
x = 4 ± 
Step-by-step explanation:
Given
(x - 12)(x + 4) = 9 ← expand the left side using FOIL
x² - 8x - 48 = 9 ( ad 48 to both sides )
x² - 8x = 57
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 57 + 16
(x - 4)² = 73 ( take the square root of both sides )
x - 4 = ±
( add 4 to both sides )
x = 4 ± 