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:
Step-by-step explanation:
With replacement
(1/10)^4
1/10000
0.0001
Without replacement
(1/10)(1/9)(1/8)(1/7)
1/5040
0.00019841269
Answer:
7:55 am
Step-by-step explanation:
To determine the time needed to leave, add up all of the elapsed time and subtract that from the 8:50 departure time. The 10 minutes from walking to the platform puts us at 8:40 am, 30 minutes to reach the station puts us at 8:10 am, and the extra 15 minutes gives a time of 7:55 am.
Answer:
x = 3 or x = 1
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 4 x + 3 = 0
Subtract 3 from both sides:
x^2 - 4 x = -3
Add 4 to both sides:
x^2 - 4 x + 4 = 1
Write the left hand side as a square:
(x - 2)^2 = 1
Take the square root of both sides:
x - 2 = 1 or x - 2 = -1
Add 2 to both sides:
x = 3 or x - 2 = -1
Add 2 to both sides:
Answer: x = 3 or x = 1
Answer:
Step-by-step explanation:
Four fifths is equal to ten sixteenths of a number. ... Two thirds equals negative eight times a number. ... Three and two thirds times a number equals two ninths.