Answer:
The answer is "0.081"
Step-by-step explanation:
Dimes
Calculating total coins
P(for a dime) 
Calculating remaining coins
Nickels 
P(for nickel draw in second)
P(for a dime after that a nickel, without replacement)
Answer:
Step-by-step explanation:
Simplify
6 + -3x = 5x + -10x + 8
terms:
6 + -3x = 8 + 5x + -10x
Combining like terms: 5x + -10x = -5x
6 + -3x = 8 + -5x
Solving
6 + -3x = 8 + -5x
Move all terms containing x to the left, all other terms to the right. (Remember)
Add '5x' to each side of the equation.
6 + -3x + 5x = 8 + -5x + 5x
Combine the like terms -3x + 5x = 2x
6 + 2x = 8 + -5x + 5x
Combine the like terms again -5x + 5x = 0
6 + 2x = 8 + 0
6 + 2x = 8
Then '-6' to each side of the equation.
6 + -6 + 2x = 8 + -6
Combine the like terms: 6 + -6 = 0
0 + 2x = 8 + -6
2x = 8 + -6
Combine the like terms: 8 + -6 = 2
2x = 2
Then divide each side by '2'.
x = 1
Simplifying
x = 1
Answer:
k = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 5 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus the 2 points have a slope of - 3
calculate the slope using the slope formula and equate to - 3
m = 
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)
m =
=
= - 3 ( multiply both sides by (k - 4) )
- 3(k - 4) = 6 ( divide both sides by - 3 )
k - 4 = - 2 ( add 4 to both sides )
k = 2
Well if you write the statement as an equation then that will get you
3*x^2 = 12x
Now we just solve. You can divide both sides by 3x and that gives you x = 4