Answer:
x = 5
Step-by-step explanation:
6 + 8(x - 1) = 2(3x + 4)
We evaluate the numbers in the brackets first.
(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)
6 + 8x - 8 = 6x + 8
The left hand side of the equation is not exactly simplified, so we will evaluate it further first.
(6 - 8 = -2)
8x - 2 = 6x + 8
Now we can start shifting the x and the numbers separately.
Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.
8x - 6x = 8 + 2
Further evaluation
2x = 10
Now we can simply find x.
Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.
x = 10 ÷ 2
Evaluate.
x = 5
Answer: You have a 12.2 percent chance
Step by step
500 divided by 5 is 100
61 divided by 5 is 12.2
12.2/100
What you do to 500 is what you do to the 61
You have a 12.2 percent chance
Hope this helps
$56.25, since 25% off can also be written as ÷4, since 25 is a quarter. 75÷4=18.75
75-18.75=56.25. Therefore, the answer is $56.25
Answer: y=(x-1)/2
Step-by-step explanation:
To find the inverse, you want to switch the y with x and x with y. Then, you solve.
y=2x+1 [switch y with x and x with y]
x=2y+1 [subtract both sides by 1]
x-1=2y [divide both sides by 2]
(x-1)/2=y
Now, we know that y=(x-1)/2 is the inverse.
You want to get the t to itself so you would add 13 to 13 which would give you 26, t=26