Answer:
D) 4:3
Step-by-step explanation:
The original ratio is 8:6 but simplified it is 4:3
Answer:
6/11 you could pull one of the three blues first or one of the three blues second
At least that's my best guess
Answer:
x = ±√2
Step-by-step explanation:
x - 1 = 1/(x + 1)
(x -1)(x + 1) = 1 Multiplied each side by x + 1
x² - 1 = 1 Difference of two squares
x² = 2 Add 1 to each side
x = ±√2
x-1 is the reciprocal of x+1 when x = -√2 or x = √2.
Check:
(a) x = -√2
-√2 - 1 = 1/(-√2 + 1)
-(√2 + 1) = (√2 +1)/[(-√2 +1)(√2 + 1)]
-(√2 + 1) = (√2 +1)/(-2 +1)
-(√2 + 1) = (√2 +1)/(-1)
-(√2 + 1) = -(√2 +1)
(b) x = √2
√2 - 1 = 1/(√2 + 1
√2 - 1 = (√2 - 1)/[(√2 + 1)(√2 - 1)
]
√2 - 1 = (√2 - 1)/(2 - 1)
√2 - 1 = (√2 - 1)/1
√2 - 1 = √2 - 1
OK.
Answer:
± 2
Step-by-step explanation:
let the number be n , then
n² - 4 = 0 ( add 4 to both sides )
n² = 4 ( take square root of both sides )
n = ±
= ± 2
The number is - 2 or 2
Answer: C. 6
Therefore, 6 machine R was used.
Step-by-step explanation:
Given;
Time taken for machine R = 36 hours
Time taken for machine S = 18 hours
The fraction of work completed by machine R and S in 1 hour is ;
R = 1/36
S = 1/18
Let n represent the number of each type of machine used to do the job.
Time taken for n machine R and S is 2 hours.
The fraction of job completed by n Machine R and S is;
n(R +S) = 1/2
Since R = 1/36 and S = 1/18
n(1/36 + 1/18) = 1/2
n = 1/2/(1/36 + 1/18)
n = 6
Therefore, 6 machine R was used.