Justify each step in solving the equation 3(2x+1)=x-7 by writing a reason for each statement. Statement
1. 3(2x+1)=x-7
2. 6x+3=x-7
3. 6x-x+3=x-x-7
4. 5x+3=-7
5. 5x+3-3=-7-3
6. 5x=-10
7. 5x/5=(-10)/5

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

Pleas its really urgent and i would really appreciate it! what is the value of x? enter your answer in the box. x =

The slope of cd is which segments are perpendicular to cd ? select each correct answer. gf , where g is at (6, 5)and fis at (10, 2) ef, where e is at (4, 1) and f is at (7,5) lm , where lis at (-2, 3) and m is at (-10, 9) jk , where jis at (1, -2) and k is at (10, – 14) next