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Flauer [41]
3 years ago
12

5/8(16d + 24) = 6(d - 1) + 1

Mathematics
1 answer:
Marrrta [24]3 years ago
4 0

Answer:

d=-5

Step-by-step explanation:

5/8(16+24)=6(d-1)+1

distribute 5/8 into (16d+24) and 6 into (d-1)

10d+15=6d-6

subtract 6d on both sides

10d-6d+15=-6

combine like terms

4d+14=-6

subtract 14 on both sides

4d=-20

divide both sides by 4

\frac{4d}{4} =\frac{-20}{4}

d=-5

hope this helps

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Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.
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Hi!

So we have to make a system of equations here.

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Using geometric sequence concepts, it is found that:

a) The rule is: P_n = 750000(0.5)^{n-1}.

b) An exponential relationship exists between the two variables.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

A geometric sequence represents an exponential relationship between the variables.

In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:

a_1 = 750000, q = 0.5.

Hence the nth term of the sequence is given by:

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6 + (4+9) =19 Rewrite using the Associative Property
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5*4*6=120
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