Hi there!
To solve this problem, we need to find the receprical of the fraction 1/6.
Receprical 1/6 = 6
100 ÷ 1/6 = 100 × 6
Now, we can solve with multiplication:
100 × 6 = 600
Hope this helps!
Answer:
y=3
Step-by-step explanation:
8x=6y
x/y=6/8
x/y=2/3
so y=3
Answer:
Step-by-step explanation:
5x + 4y = 6
4y = -5x + 6
y = -5/4x + 24......slope here is -5/4 and y int is 24
10x - 2y = 7
-2y = -10x + 7
y = 5x - 7/2.....slope here is 5 and y int is -7/2
if the slopes and the y int's are different, which they are, then there is 1 solution
Answer:
The values of x is -30 degrees and undefined
None of these values fall within the given range
Thus, no value within the given range is the solution to the equation
Step-by-step explanation:
Here, we want to find the value of x that works for the equation in the selected range
2cot^2x = -3csc x
Mathematically, from trigonometry;
cot^2x = csc^2x - 1
Substitute this above
2(csc^2x - 1)= -3csc x
let csc x = b
2(b^2-1) = -3b
2b^2 - 2 + 3b = 0
2b^2 + 3b - 2 = 0
2b^2 + 4b - b - 2 = 0
2b(b+ 2) - 1( b + 2) = 0
(2b-1)(b + 2) = 0
2b = 1
b = -2
b = 1/2 = 0.5
or b = -2
Recall;
csc x = b
x = csc^-1 b
x = csc^-1 0.5
x = undefined
Secondly;
b = -2
x = csc^-1 (-2)
x = -30 degrees
As we can see , between the points
0 ≤ x < 360
None of our answers fall in these range
Nick has fewer trading cards. 189 < 198; there is a difference of 9.