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3 years ago

14. Use mental math to simplify (4.55 +27) + 5.45.32131837

Mathematics

1 answer:

STatiana [176]3 years ago

3 0

Answer: 37

Step-by-step explanation:

4.55 + 27 = 31.55

31.55 + 5.45 = 37

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3 years ago

I got the first two can you help me with the last one PLZ

Nat2105 [25]

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Step-by-step explanation:

Given sequence is:

6, 18, 54, 162,....

Here

$a_1 =6\\a_2 = 18\\a_3 = 54$

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

$r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3$

As the common ratio is same, the given sequence is a geometric sequence.

(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

$a_n = a_{n-1} * r$

In case of given sequence,

$a_n = a_{n-1} * 3$

So to find the 5th term

$a_5 = a_4*3\\a_5 = 162*3\\a_5 = 486$

(c) Give the rule you would use to find the 20th week.

In order to find the pushups for 20th week, explicit formul for sequence will be used.

The general form of explicit formula is given by:

$a_n = a_1 * r^{n-1}$

Putting the values of a_1 and r

$a_n = 6 * (3)^{n-1}$

Hence,

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

#LearnwithBrainly

4 0

3 years ago

At a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progr

dmitriy555 [2]

X = number of singles matches
y = number of doubles mnathes

so we have the equation x + y = 13.......(1)

also

2x + 4y = 38 ...........(2)

(1) and (2) are the required equations

b) Find how many maches are in progress by solivng the above equations:-

x + y = 13 multiply this by -2:-
-2x - 2y = -26
2x + 4y = 38 Adding to removes the terms in x:-

2y = 12

y = 6

so x = 13-6 = 7

So the answer is 6 double matches and 7 singles are in progress.

5 0

3 years ago

14. Use mental math to simplify (4.55 +27) + 5.45.32131837​

14. Use mental math to simplify (4.55 +27) + 5.45.32131837