Answer:
x + 14 = 2(x + 6)
x = 2
Step-by-step explanation:
Let
Algebra book age = x
Chemistry book age = x + 8
In 6 years time
Chemistry book age = x + 8 + 6
= x + 14
Algebra book age = x + 6
the chemistry book will be twice as old as the Algebra book.
x + 14 = 2(x+6)
x + 14 = 2x + 12
x - 2x = 12 - 14
- x = - 2
Divide both sides by -1
x = 2
Check:
Chemistry book age = x + 14
= 2 + 14
= 16
Algebra book age = x + 6
= 2 + 6
= 8
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Question 1
Consider the sequence:
8, 11, 14, 17, 20, 23, 26, ...
Write a recursive definition.
Question 2
Which sequences could be described by the recursive definition
2, 5, 14, 41, 122...
Question 3
Given that the first term is and the recursive definition is would be the 2nd term
The volume of the prism 121.6 cube in.
Step-by-step explanation:
Given,
The base is right angle triangle whose two sides are equal.
So,
Base (b) = 8 in
Another side of right angle triangle (l) = 8 in
Height (h) of the prism = 3.8 in
To find the volume of the prism.
Formula:
V =
bhl
Now,
V =
×8×8×3.8 cube in
= 121.6 cube in.
2 (an - 1) = 40
2an - 2 =40
2an = 40 - 2
2an = 38
2an/2 = 38/2
an = 19