Drag the labels to the table. Each label can be used more than once, but not all labels will be used. Choose the justification for each step in the solution to the equation 6x - 9 = 45.
Step
Statements
Reasons
6x - 9 = 45
given
2
6x - 9 + 9 = 45 + 9
3
6x = 54
5
x = 9
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
simplification

See explanations below

Step-by-step explanation:

Given the equation 6x - 9 = 45

Step 1; Add 9 to both sides based on addition property of equality

6x - 9 + 9 = 45 + 9

6x = 54

Step 2: Divide both sides by 5 based on division property of equality

6x/6 = 54/6

Step 3: Simply the result (Simplification)

x = 9

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

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