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Neporo4naja [7]
3 years ago
15

The cost of a peanut butter bar is $0.07 more than the cost of a chocolate bar. If you buy 5 peanut butter bars and 6 chocolate

bars, the total cost is $6.40. How much does the chocolate bar cost?
$0.61

$0.55

$0.54

$0.62
Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0

Hello!

To be quick and simple, your answer would be $0.55

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The first term of a geometric sequence is equal to a and the common ratio of the sequence is r.
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For part (a), the question gives us the first term a, and then asks us to apply the common ratio r six times.

In order for ar = a, the nth term of r will have to equal 0 (this implies that n is an exponent; thus giving us the first term a, as r = 1).

Since we use this method on the first term, we must use it for the next five, in which r gains an additional exponent for every consecutive value (nth term) thereafter.  

Ultimately getting: {a, ar, ar², ar³, ar⁴, ar⁵...}

For part (b), we first have to understand that the sequence does not start at 0, but at 1 for n. In order for ar = a, with n = 1, there needs to be subtraction of -1 within the exponent. So that arⁿ⁻¹

If we check and apply this, we can see that:

{ar¹⁻¹, ar²⁻¹, ar³⁻¹, ar⁴⁻¹, ar⁵⁻¹, ar⁶⁻¹...} = {a, ar, ar², ar³, ar⁴, ar⁵...} = arⁿ⁻¹ = Tn

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3 years ago
$8.00 divided by 1/4
vazorg [7]

The answer is 32, because when you divide by a fraction you have to multiply the number by it's reciprocal.

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Sue's average score for three bowling games was 162. In the second game, Sue scored 10 less than in the first game. In the third
natali 33 [55]

Answer:

Her score in the first game was 173.

Step-by-step explanation:

Sue's total score for the 3 games = 3*162 = 486 points.

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x + (x - 10) + (x - 23) = 486

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x = 173 (answer).


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