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3 years ago

Find The Five Rational number Between-3/2 and 5/3

Mathematics

1 answer:

Umnica [9.8K]3 years ago

3 0

here is your answer

1.61 , 1.6245, 1.512, 1.432, 1.32456

Step-by-step explanation:

covert fraction to decimal we get,

-3/2 = -1.5 and 5/3 = 1.70

and any number that lies between these two numbers which is terminating and non repeating or non terminating repeating.. that are the numbers that you need.

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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

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2 years ago

Sarawongs school is selling tickets to the anual talent show on the first day of ticket sales the school sold 1 adult ticket and

vaieri [72.5K]

Price of one adult ticket is $9 and price of one student ticket is also $9.

Step-by-step explanation:

Let,

Adult ticket = x

Student ticket = y

According to given statement;

x+2y=27 Eqn 1

2x+2y=36 Eqn 2

Subtracting Eqn 1 from Eqn 2;

$(2x+2y)-(x+2y)=36-27\\2x+2y-x-2y=9\\x=9$

Putting x=9 in Eqn 1;

$9+2y=27\\2y=27-9\\2y=18$

Dividing both sides by 2;

$\frac{2y}{2}=\frac{18}{2}\\y=9$

Price of one adult ticket is $9 and price of one student ticket is also $9.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

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2 years ago

Identify the percent of change as an increase or a decrease 20 to 30.

Snowcat [4.5K]

Answer:

50% increase.

Step-by-step explanation:

(New Value - Initial Value)/(Initial Value) * 100 = percentage increase or decrease

(The formula)

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3 years ago

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horrorfan [7]

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2 years ago

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Answer:

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3 years ago

Find The Five Rational number Between-3/2 and 5/3​

Find The Five Rational number Between-3/2 and 5/3