So 60 + 20 is 80, and that is $80 a mile. 80 x 3 = 240, + 80 = 320. and then we could say 2/6 of 80 is about 28, right? so i suppose 4 2/6? sorry if it's wrong, just trying to help to the best of my ability
The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
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Your question was incomplete. Please refer the content below:
The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
3 ( x^8-4v) ........... .
We have that
scale factor=3
we know that
[volume new cube]=[scale factor]³*[volume original cube]
[volume new cube]=[3]³*[volume original cube]-----> 27*[volume original cube]
the answer is
<span>the volume increases by a factor of 27</span>
The amount of money that Carly would have left if she doesn't buy any packs of baseball cards is $20.
<h3>How to calculate the amount of money?</h3>
In order to calculate the amount of money that Carly would have left if she doesn't buy any packs of baseball cards, we would determine the cost of each baseball card as follows:
- Let the cost of each baseball card be x.
- Let the number of cards bought be n.
Translating the word problem into an algebraic expression, we have;
x - n = 16
x - 2n = 12
Solving the simultaneous equations by elimination, we have:
n = 4
Therefore, Carly's minimum balance is given by:
x - n = 16
x = 16 + n
x = 16 + 4
x = $20.
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<u>Complete Question:</u>
The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards. How much money will she have if she doesn't buy any packs of baseball cards?