Let n = the unknown number
"Quotient of 82 and a number" translates to 82 / n
"decreased by 26 tells you you're subtracting 26.
82/n - 26 or
f (n + 1) = f(n) – 5 is the recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1
<h3><u>Solution:</u></h3>
Given that,
f(1) = 6 and n ≥ 1
Given sequence is 6, 1, -4, -9, -14
<em><u>Let us first analyse the logic used in this sequence</u></em>
6 - 5 = 1
1 - 5 = -4
-4 - 5 = -9
-9 - 5 = -14
Thus the next terms in sequence are obtained by subtracting 5 from previous term
Thus a recursive formula can be formed as:
f (n + 1) = f(n) – 5
Where "n" is the nth term
Let us check our recursive formula:
f(1+ 1) = f(1) - 5
f(2) = f(1) - 5
f(2) = 6 - 5 = 1
Thus we have got f(2) = 1 which is correct as per given sequence
Answer:
<h2>5 cm</h2>
Step-by-step explanation:
The triangles are similar. Therefore the corresponding sides are in proportion:
<em>cross multiply</em>
<em>divide both sides by 32</em>
Answer:
28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
Step-by-step explanation:
We can solve this question by a system of equations.
I am going to say that:
x is the number of short-sleeved shirts sold.
y is the number of long-sleeved shirts sold.
A department store sold 51 shirts one day.
This means that 
All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.
This means that
How many of each kind of shirt were sold?
We have to solve the system of equations.
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28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
I tried to answer these earlier but something glitched out. Hope this helps :)
