Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.
Negative 9 (two-thirds x) + 9 (1)
Negative 9 (two-thirds x) minus 9 (1)
Negative 9 (two-thirds x) + 1
–6x + 1
–6x + 9
–6x – 9

Explanation:

Before we begin, remember the following rules:

1- Distribution property:

2- Simplification of fractions:

3- Signs in multiplication:

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

Now, for the given problem, we have:

Starting with the distributive property:

..................>This corresponds to option 1

Now, we simplify the output from the above step:

................> This corresponds to option 5

Hope this helps :)

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages

step-by-step explanation: