4/10 = 2/5
When you divide both the numerator and denominator by 2 you will get a new fraction of 2/5. This fraction is in simplest form because you can't reduce it further.
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12 is your answer because 18 divided by 6 =3 then 4x3=12
Answer:
a
n
=
−
2
n
+
15
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
−
2
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
−
2
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
13
and
d
=
−
2
.
a
n
=
13
+
(
−
2
)
(
n
−
1
)
Simplify each term.
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a
n
=
13
−
2
n
+
2
Add
13
and
2
.
a
n
=
−
2
n
+
15
First observe that if
,

Let
and
. It follows that

Now let
, so
. Solving for
,

which means

Now solve for
.

(note that we assume
)

(we omit
since
is not true)
Answer:
A. 148%
To find percent you just have to multiply your decimal by one hundred, which in this case moves the decimal to the very back and makes 1.48 = 148%