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steposvetlana [31]
3 years ago
14

Every day for 5 days Jack and Jill went walking. Each day Jack walked 4/5 of a mile and Jill walked 2/3 of a mile. At the end of

the week, how much further had Jack walked than Jill?
Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0

\bf \stackrel{\textit{Jack for 7 days}}{7\left( \cfrac{4}{5} \right)}\implies \cfrac{28}{5}~\hspace{10em}\stackrel{\textit{Jill for 7 days}}{7\left( \cfrac{2}{3} \right)}\implies \cfrac{14}{3}
\\\\[-0.35em]
~\dotfill\\\\
\cfrac{28}{5}-\cfrac{14}{3}\implies \stackrel{\textit{LCD of 15}}{\cfrac{(3)28-(5)14}{15}}\implies \cfrac{84-70}{15}\implies \cfrac{14}{15}

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PLEASE HELP!!!! i REALLY NEED TO GET THIS DONE AND AM HAVING TROUBLE WITH THIS ONE!!!!
zubka84 [21]

Answer:

a[n] = a[n-1]×(4/3)

a[1] = 1/2

Step-by-step explanation:

The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.

The general explicit term of a geometric sequence is ...

  a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio

Comparing this to the expression you are given, you see that ...

  a[1] = 1/2

  r = 4/3

(You also see that parenthses are missing around the exponent expression, n-1.)

A recursive rule is defined by two things:

  1. the starting value(s) for the recursive relation
  2. the recursive relation relating the next term to previous terms

The definition of a geometric sequence tells you the recursive relation is:

  <em>the next term is the previous one multiplied by the common ratio</em>.

In math terms, this looks like

  a[n] = a[n-1]×r

Using the value of r from above, this becomes ...

  a[n] = a[n-1]×(4/3)

Of course, the starting values are the same for the explicit rule and the recursive rule:

  a[1] = 1/2

7 0
2 years ago
What property would you use to solve. X/5 = 3
OLEGan [10]

Answer:

Multiplication

Step-by-step explanation:

x/5 = 3

Multiply by 5

x = 15

5 0
2 years ago
Is this positive correlation , negative correlation or no correlation?
max2010maxim [7]
Positive correlation
3 0
3 years ago
Read 2 more answers
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OLEGan [10]
The answer is maybe C lol
4 0
3 years ago
The perimeter of parallelogram ABCD is 46 inches. What is DA?
kvv77 [185]
I hope this helps you

5 0
2 years ago
Read 2 more answers
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