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Sindrei [870]
3 years ago
9

Find the 50th term of 0,3,6,9

Mathematics
1 answer:
nalin [4]3 years ago
7 0

\text{a}_1=0 \ \text{and} \ \text{a}_2=3\\\\\text{r}=\text{a}_2-\text{a}_1=3-0=3\\\\\text{a}_{50}=\text{a}_1+49\text{r}=0+49\cdot3=0+147=147\\\\\huge\boxed{\text{a}_{50}=147}

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Solve: 2x+7/5 - x-3/10 = x+1/15<br>find the value of x and verify the result will RHS ​
choli [55]

Step-by-step explanation:

<h3><u>Given Question :- </u></h3>

Solve for x :-

\dfrac{2x + 7}{5} -  \dfrac{x - 3}{10}  =  \dfrac{x + 1}{15}

\red{\large\underline{\sf{Solution-}}}

Given linear equation is

\rm :\longmapsto\: \dfrac{2x + 7}{5} -  \dfrac{x - 3}{10}  =  \dfrac{x + 1}{15}

\rm :\longmapsto\: \dfrac{2(2x + 7) - (x - 3)}{10}  =  \dfrac{x + 1}{15}

\rm :\longmapsto\: \dfrac{4x + 14 - x  +  3}{10}  =  \dfrac{x + 1}{15}

\rm :\longmapsto\: \dfrac{(4x - x)  + (14 + 3)}{10}  =  \dfrac{x + 1}{15}

\rm :\longmapsto\: \dfrac{3x  + 17}{10}  =  \dfrac{x + 1}{15}

On multiply by 5 on both sides,

\rm :\longmapsto\: \dfrac{3x  + 17}{2}  =  \dfrac{x + 1}{3}

On cross multiplication, we get

\rm :\longmapsto\:3(3x + 17) = 2(x + 1)

\rm :\longmapsto\:9x +51 = 2x + 2

\rm :\longmapsto\:9x  - 2x = 2 - 51

\rm :\longmapsto\:7x = - 49

\bf\implies \:x =  - 7

<h3><u>VERIFICATION</u></h3>

Consider, LHS

\red{\rm :\longmapsto\: \dfrac{2x + 7}{5} -  \dfrac{x - 3}{10}}

On substituting the value of x, we get

\red{\rm \:  =  \:  \dfrac{2( - 7) + 7}{5} -  \dfrac{ - 7 - 3}{10}}

\red{\rm \:  =  \:  \dfrac{ - 14 + 7}{5} -  \dfrac{ - 10}{10}}

\red{\rm \:  =  \:  \dfrac{ - 7}{5}  + 1}

\red{\rm \:  =  \:  \dfrac{ - 7 + 5}{5}}

\red{\rm \:  =  \:  \dfrac{ - 2}{5}}

Consider RHS

\green{\rm :\longmapsto\:\dfrac{x + 1}{15}}

On substituting the value of x, we get

\green{\rm \:  =  \: \dfrac{ - 7 + 1}{15}}

\green{\rm \:  =  \: \dfrac{ - 6}{15}}

\green{\rm \:  =  \: \dfrac{ - 2}{5}}

\rm \implies\:LHS=RHS

HENCE, VERIFIED

5 0
3 years ago
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Find the simple interest earned to the nearest cent for each principal, interest rate, and time. $750, 7%, 3 years
Zanzabum
750 x 3 x7 hope that helps
6 0
4 years ago
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the population of arizona is estimated go increase by 6.2% every year. if the population was 4.18 million in 2016 estimate popul
aleksklad [387]

Given:

a.) The population of Arizona is estimated to increase by 6.2% every year.

b.) The population was 4.18 million in 2016.

For us to be able to determine the population in 2022, we will be using the following formula:

\text{ P = P}_0e^{rt}

Where,

P = Total population after time (t)

P₀ = Starting population = 4.18 million

r = Growth rate (in decimal form) = 6.2%/100 = 0.062

t = time (in years) = 2022 - 2016 = 6 years

e = Euler's number = 2.71828182845

We get,

\text{ P = P}_0e^{rt}\text{ = (4,180,000)(}2.71828182845)^{0.062(6)}\text{ P = 6,063,645.861797897 }\approx\text{ 6,063,646}

Therefore, the population in 2022 will be approximately 6,063,646.

7 0
1 year ago
Ill mark brainlest plz help asap
solniwko [45]
<h3>Answer:  $7.99</h3>

Explanation:

Pick any point listed and divide the y coordinate over the x coordinate.

The simplest choice is the point where x = 1

y/x = (7.99)/(1) = 7.99

Or we could say something like

y/x = (95.88)/(12) = 7.99

3 0
3 years ago
Which of the following numbers is between 5 and 10 on a number line? Select two that apply.
jonny [76]

Answer:

√38 , √44

Step-by-step explanation:

√25 = 5   and  √100 = 10

So, required numbers should be between √25 and √100

And so,  they are √38 , √44

3 0
3 years ago
Read 2 more answers
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