The possible digits are:
5, 6, 7, 8 and
9. Let's mark the case when the locker code begins with a prime number as
A and the case when <span>the locker code is an odd number as
B. We have
5 different digits in total,
2 of which are prime (
5 and
7).
First propability:
</span>
<span>
By knowing that digits don't repeat we can say that code is an odd number in case it ends with
5, 7 or
9 (three of five digits).
Second probability:
</span>
For this case we have the following equation:
If we multiply both sides of the equation by 3 we get:
---> Multiplication Property of Equality
Applying the distributive property we have:
---> Distributive Property
Adding 1 on both sides of equality we have:
---> Addition Property of Equality
Subtracting 
on both sides we have:
---> Subtraction Property of Equality
Finally, dividing by -4 on both sides we have:
---> Division Property of Equality
Answer 10
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
Substitute in the values of
a
1
=
1
a
1
=
1
and
d
=
3
d
=
3
.
a
n
=
1
+
(
3
)
(
n
−
1
)
a
n
=
1
+
(
3
)
(
n
-
1
)
Simplify each term.
a
n
=
1
+
3
n
−
3
a
n
=
1
+
3
n
-
3
Subtract
3
3
from
1
1
.
a
n
=
3
n
−
2
Answer:
29500
Step-by-step explanation:
subtract the two numbers
Answer:
16 / C
Step-by-step explanation:
-4 x -4 = 16
4 x 4 = 16
two negatives cancel out when multiplying, that is why it equals 16*
