Answer:
Step-by-step explanation:
The answer is 3 /8/33.
step by step explanation
First, we can write:
x
=
3
.
¯¯¯¯
24
Next, we can multiply each side by
100
giving:
100
x
=
324
.
¯¯¯¯
24
Then we can subtract each side of the first equation from each side of the second equation giving:
100
x
−
x
=
324
.
¯¯¯¯
24
−
3
.
¯¯¯¯
24
We can now solve for
x
as follows:
100
x
−
1
x
=
(
324
+
0
.
¯¯¯¯
24
)
−
(
3
+
0
.
¯¯¯¯
24
)
(
100
−
1
)
x
=
324
+
0
.
¯¯¯¯
24
−
3
−
0
.
¯¯¯¯
24
99
x
=
(
324
−
3
)
+
(
0
.
¯¯¯¯
24
−
0
.
¯¯¯¯
24
)
99
x
=
321
+
0
99
x
=
321
99
x
99
=
321
99
99
x
99
=
3
×
107
3
×
33
x
=
3
×
107
3
×
33
x
=
107
33
Now, we can convert this improper fraction to a mixed number:
x
=
107
33
=
99
+
8
33
=
99
33
+
8
33
=
3
+
8
33
=
3
8
33
3
.
¯¯¯¯
24
=
3
8
33
Answer:
A. 6
Step-by-step explanation:
The formula for nth arithmetic sequence =
aₙ = a₁+(n - 1) d
a₁ = First term
n = number of terms
d = common difference
In the question above, explicit formula for the nth term:
aₙ = 2 + (n - 1)(6)
This means, the first term a1 = 2
d = 6
The same sequence has the following recursive formula:
aₙ = aₙ₋₁+ ___
The formula for a recursive formula is
aₙ= aₙ₋₁+ d
Where the common difference from the nth term = 6
Therefore , the number that belongs in the blank space in the recursive formula is 6
C. Ask every 12th person who leaves school one afternoon. Roll dice to determine which person to ask first.
Because by dividing both equations you get an answer of 8 for both
