Which of the following statements are true of 13 and -13? select all that apply.

they are opposites.
their sum is 0.
they are the same distance from zero on the number line.
they are equivalent.

A positive number and a negative number with the same digits are opposite.

13 + -13 = 13 -13 = 0

13 to 0 is 13 units, -13 to 0 is also 13 units.

The answers are:

They are opposites.

Their sum is 0.

They are the same distance from zero on the number line.

They are opposites.

Their sum is 0.

They are the same distance from zero on the number line.

Step-by-step explanation:

They are opposites.   True  

- -13 = 13

Their sum is 0.   True

-13+13=0

They are the same distance from zero on the number line.   True

|-13| = |13|

They are equivalent.  False

-13 does not = 13

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

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