3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

algol [13]3 years ago

3 0

20 divided by 3 is 998

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Use geometric series to find the fraction of 0.8967898989

Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

$x=0.8967\overline89\implies10^4x=8967.\overline{89}$

Then

$10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}$

$10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)$

$10^4x=8967+\dfrac{89}{99}$

$x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}$

$x=\dfrac{443911}{495000}$

###

An arguably quicker way without using geometric series:

$10^4x=8967.\overline{89}$

$10^6x=896789.\overline{89}$

$10^6x-10^4x=887822$

$x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}$

8 0

3 years ago

I really need help please! Number 5!! (Factoring)<br><br> Please show how you got it.

Citrus2011 [14]

Answer:

(4×-3)(2x-1)

Step-by-step explanation:

8x²-10x+3

8x²-4x-6x+3

4x(2x-1)-3(2x-1)

(4×-3)(2x-1)

7 0

3 years ago

T = WP [ M² - ( M-S)² ]

QveST [7]

Answer:

W PM^2 − WP(M−S)^2=T

Step-by-step explanation:

this is what mathaway said

8 0

3 years ago

Lee drove 420 miles and used 15 gallons pf gasoline.How many miles did Lee's car travel per gallon of gasoline?

kondor19780726 [428]

Divide the two numbers. The equation is 420/15=28. So Lee would get 28 miles per gallon of gasoline. I hope this helps!

3 0

3 years ago

Emilio has 8,450 trees to plant in row of his tree garden.He will plant 125 trees per row.How many full rows of trees will he ha

Gnoma [55]

Answer:

67 full rows

Step-by-step explanation:

8450÷125 =67.6 since the .6 isn't a full row there is 67 full.

6 0

3 years ago