Answer:
It's -539
Step-by-step explanation:
539 is a positive number in this one, so to find the opposite, you'd make the number a negative one, which is -$539
Answer:
D
Step-by-step explanation:
side HG is 3
side FG is 5 hypotenuse
sin F = 3/5 = opposite/hypotenuse
cos G is adjacent/hypotenuse
adjacent side is HG which = 3
hypotenuse is 5
Answer:
is the required simplification.
Step-by-step explanation:
Here, the given expression is (6x−4)(3x−1).
By DISTRIBUTIVE PROPERTY of numbers:
A ( B + C ) = AB + AC
Simplifying the given expression, we get:

or, 
Hence the given expression is simplified.
Let red marbles = X.
The probability is 1 out of 5, written as 1/5
1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.
1/5 = x/5x
Now you have 5x total marbles, x red and 4x blue.
Add 5 more red and the new probability is:
(x+5)/(5x+5) = 1/3
Simplify:
3x+15 = 5x+5
Now solve for x:
Subtract 3x from both sides:
15 = 2x +5
Subtract 5 from each side:
2x = 10
Divide both sides by 2:
x = 10/2
X = 5
There were originally 5 red marbles.