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bearhunter [10]
3 years ago
6

Consider a sequence that follows a minus 5 pattern: 30, 25, 20, 15, ….

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

a_2_0=-65

Step-by-step explanation:

As we can see, the sequence starts from 30 and decreases by 5 each time. So, one possible formula for that sequence could be:

a_n=35-5n\hspace{10}n\in N

Let's confirm the formula by evaluating the first 4 terms:

a_1=35-5(1)=35-5=35\\a_2=35-5(2)=35-10=25\\a_3=35-5(3)=35-15=20\\a_4=35-5(4)=35-20=15

Finally evaluating n=20:

a_2_0=35-5(20)=35-100=-65

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The height of Jake's window is 5x - 3 inches and the width is 3x + 2 inches. What is the perimeter of Jake's window ?​
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The perimeter of Jake window is 16x - 2 inches

<h3><u>Solution:</u></h3>

Given that height of Jake window is 5x - 3 inches

Also given that width is 3x + 2 inches

To find: perimeter of Jake window

We know that, in general a window is of rectangular shape

<em><u>The perimeter of rectangle is given as:</u></em>

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3 years ago
Each one of four pies were cut into 8 pieces for dinner. After dinner there remained 1/2 of a pie, o pie, 3/8 of a pie and 5/$of
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Answer: What you would have left is 12 pieces of pie

Step-by-step explanation: As stated in the question, one pie has been sliced into 8 pieces, and there are three pies in all. That means we had at the beginning 3 x 8 slices of pie which equals 24 pieces.

Also if each pie had been sliced into 8 pieces then each can be represented as 8/8. Therefore eating one slice would leave you with 7/8 (that is 8/8 minus 1/8).

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Adding them all together would give,

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Using 8 as the common denominator

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The answer is C

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